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1212.4862v2_reasoning_000 | 1212.4862v2 | How many numbered result statements appear from Theorem 0.7 through Corollary 0.10, inclusive? | 4 | Integer | reasoning | true | [
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"images/1212.4862v2/page008.... | 85,987 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/1212.4862v2 | CC-BY-4.0 | 33 | 31 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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1212.4862v2_reasoning_001 | 1212.4862v2 | In Lemma 3.26, how many distinct ranges of the parameter l are used to define the Hilbert function HF_{d₁,d₂}(l)? | 4 | Integer | reasoning | true | [
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"images/1212.4862v2/page008.... | 85,995 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/1212.4862v2 | CC-BY-4.0 | 33 | 31 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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1601.06633v2_reasoning_000 | 1601.06633v2 | What is the combined number of proposition-labeled results in subsections 4.2, “Trivial duality,” and 4.3, “Twisted duality”? | 2 | Integer | reasoning | true | [
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"images/1601.06633v2... | 44,367 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/1601.06633v2 | CC-BY-4.0 | 17 | 16 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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1601.06633v2_reasoning_001 | 1601.06633v2 | In Section 5.1’s four-piece breakdown of the proof of Theorem 1.1, by how many does the number of destination results labeled “Theorem” exceed the number labeled “Proposition”? | 2 | Integer | reasoning | true | [
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"images/1601.06633v2... | 44,374 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/1601.06633v2 | CC-BY-4.0 | 17 | 16 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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1703.00544v5_reasoning_000 | 1703.00544v5 | In the contribution overview of Section 1.2, how many numbered named results are stated from Theorem 1.1 through Theorem 1.7, counting both the theorem and corollary statements shown there? | 7 | Integer | reasoning | true | [
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3
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"images/1703.00544v5... | 81,132 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_001 | 1703.00544v5 | In Table 1, how many green FPT cells are shown across both parameter blocks? | 5 | Integer | reasoning | true | [
4
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"images/1703.00544v5... | 81,105 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_002 | 1703.00544v5 | In Section 2.1, before the pre-evaluations paragraph, how many cardinality-constraint categories are introduced by the consecutive headings “Global cardinality constraints” and “Local cardinality constraints”? | 2 | Integer | reasoning | true | [
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"images/1703.00544v5... | 81,128 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_003 | 1703.00544v5 | According to Definition 2.4, how many node types are listed for a nice tree decomposition? | 4 | Integer | reasoning | true | [
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"images/1703.00544v5... | 81,107 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_004 | 1703.00544v5 | In the refinement discussion, multiply the number of cases in Definition 3.5’s shape definition by the maximum number of parts into which Lemma 3.8 can split a nonuniform type. What is the product? | 8 | Integer | reasoning | true | [
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"images/1703.00544v5... | 81,131 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_005 | 1703.00544v5 | In the definition of a parameterized reduction in Section 2.3, how many bullet-point conditions are listed after “such that”? | 2 | Integer | reasoning | true | [
8
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"images/1703.00544v5... | 81,114 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_006 | 1703.00544v5 | In the proof of Theorem 3.1, add the number of input items named in the LCC Subset problem box to the number of vertex groups listed in the construction of the graph H. What is the sum? | 6 | Integer | reasoning | true | [
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"images/1703.00544v5... | 81,132 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_007 | 1703.00544v5 | In the displayed definition of the formula φ at the end of the proof of Theorem 1.3, how many conditions are conjoined for each v in C? | 2 | Integer | reasoning | true | [
12
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"images/1703.00544v5... | 81,121 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_008 | 1703.00544v5 | Combining Proposition 3.7 and Lemma 3.10, how many bullet-point conclusions are listed in total? | 4 | Integer | reasoning | true | [
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15
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"images/1703.00544v5... | 81,112 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_009 | 1703.00544v5 | In Theorem 3.11’s integer linear program description, how many displayed constraint labels are shown from (0) through the shape constraints? | 5 | Integer | reasoning | true | [
16
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"images/1703.00544v5... | 81,117 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_010 | 1703.00544v5 | How many more component bullets are listed in Definition 4.1 for a CSP instance than output-property bullets are listed in Theorem 4.6? | 1 | Integer | reasoning | true | [
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"images/1703.00544v5... | 81,118 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1703.00544v5_reasoning_011 | 1703.00544v5 | How many labeled subfigures does Figure 3 contain? | 2 | Integer | reasoning | true | [
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"images/1703.00544v5... | 81,098 | gpt-5.5-2026-04-24 | Computer Science | https://arxiv.org/abs/1703.00544v5 | CC-BY-4.0 | 32 | 29 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1811.01271v4_reasoning_000 | 1811.01271v4 | For a strongly starlike function of order β = 1/2, by how much does the upper bound for |a₃| obtained from Theorem 3.3 exceed the sharp upper bound in Theorem 3.1? | 0.25 | Float | reasoning | true | [
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"images/1811.01271v4... | 41,779 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/1811.01271v4 | CC-BY-4.0 | 16 | 14 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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1811.01271v4_reasoning_001 | 1811.01271v4 | In Remark 3.1, by how much does the upper bound for |a₄| in Case 1 exceed the upper bound in Case 2? | 2.5 | Float | reasoning | true | [
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"images/1811.01271v4... | 41,762 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/1811.01271v4 | CC-BY-4.0 | 16 | 14 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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1906.02754v2_reasoning_000 | 1906.02754v2 | In the final-state object definitions, what is the numerical difference between the global Higgs rapidity cutoff |Y_H| < 2.5 and the truth-jet radius R = 0.4? | 2.1 | Float | reasoning | true | [
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"images/1906.02754v2... | 36,563 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_001 | 1906.02754v2 | On the title page author-affiliation list, how many numbered affiliations are located in either France or the USA? | 5 | Integer | reasoning | true | [
0
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"images/1906.02754v2... | 36,542 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_002 | 1906.02754v2 | Using the prose bin definitions for gg → H and electroweak qqH production, what is the difference in GeV between the largest m_jj boundary listed for the electroweak qqH m_jj > 350 GeV bin and the gg → H low/high-m_jj separation? | 1150 | Integer | reasoning | true | [
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"images/1906.02754v2... | 36,586 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_003 | 1906.02754v2 | In the Contents, how many entries are listed under “4 Bin Definitions” when counting both its direct subsections and the two indented subsubsections under “Other Production Modes”? | 7 | Integer | reasoning | true | [
1
] | [] | [
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"images/1906.02754v2... | 36,555 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_004 | 1906.02754v2 | In the stage 1.2 diagrams, what is the combined number of boxes immediately below the top process box for electroweak qqH and leptonic VH production? | 6 | Integer | reasoning | true | [
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9
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"images/1906.02754v2... | 36,554 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_005 | 1906.02754v2 | In the Overview’s list of concrete STXS-bin goals, how many goals are given? | 4 | Integer | reasoning | true | [
3
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"images/1906.02754v2... | 36,537 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_006 | 1906.02754v2 | In the final-state object definitions, what is the numerical difference between the forward-electron rapidity reach mentioned for H → ZZ* → 4ℓ and the truth-jet radius R? | 4.6 | Float | reasoning | true | [
4,
5
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"images/1906.02754v2... | 36,559 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_007 | 1906.02754v2 | In Figure 1 for gg → H, how many top-level p_T^H ranges split the stage 1.2 diagram before the jet-category branches? | 2 | Integer | reasoning | true | [
5
] | [] | [
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"images/1906.02754v2... | 36,551 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_008 | 1906.02754v2 | What is the difference in GeV between the highest finite p_T^H boundary shown for ttH production and the highest p_T^V boundary stated for the q q′ → WH and q q̄ → ZH subprocesses in associated leptonic VH production? | 50 | Integer | reasoning | true | [
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10
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"images/1906.02754v2... | 36,574 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_009 | 1906.02754v2 | In the electroweak qqH production description, into how many jet bins is the cross section first split? | 3 | Integer | reasoning | true | [
7
] | [] | [
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"images/1906.02754v2... | 36,542 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_010 | 1906.02754v2 | If each dominant Higgs production process named in the abstract were paired with each major Higgs decay channel listed in the Introduction, how many production–decay pairings would that make? | 20 | Integer | reasoning | true | [
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"images/1906.02754v2... | 36,556 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1906.02754v2_reasoning_011 | 1906.02754v2 | In Figure 4 for ttH production, how many finite p_T^H boundary labels greater than 0 are shown? | 5 | Integer | reasoning | true | [
10
] | [] | [
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"images/1906.02754v2... | 36,544 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/1906.02754v2 | CC-BY-4.0 | 14 | 11 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2001.11078v2_multi_distributed_000 | 2001.11078v2 | How do the introductory prime-case proposition and Proposition 4.19 characterize the effect of quotienting power operations by transfer ideals, respectively for a genuine G-spectrum and for C-valued class functions? | ["For an H∞-ring in genuine G-spectra and m = p prime, the ideals J(G/H) assemble into a Mackey ideal J ⊆ E^0(BΣp), minimal among those for which the reduced power operation Pp/J: E^0 → E^0(BΣp)/J is a map of G-Green functors.", "For C-valued class functions, Cl(G × Σm)/ITr is isomorphic to Cl(G), and the composite Cl(... | List | multi_distributed | true | [
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35
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"images/2001.11078v2... | 104,067 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/2001.11078v2 | CC-BY-4.0 | 41 | 39 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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2001.11078v2_reasoning_001 | 2001.11078v2 | Across Example 4.5 and Example 4.10, what is the combined number of additive generators explicitly listed for the Burnside rings A(C₂ × Σ₂) and A(C₃ × Σ₃), respectively? | 15 | Integer | reasoning | true | [
27,
30
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"images/2001.11078v2... | 103,926 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/2001.11078v2 | CC-BY-4.0 | 41 | 39 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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2003.13227v3_multi_distributed_006 | 2003.13227v3 | Compare Theorem 1.1 with the single-closed-subset version Theorem 3.4: what restriction and distance requirements do they impose on the constructed metric? | ["Theorem 1.1: the constructed metric m satisfies m|A_i^2 = e_i for every i in I, and D_X(m,d) = sup_i D_{A_i}(e_i,d|A_i^2).", "Theorem 3.4: the constructed metric m satisfies m|A^2 = e, and D_X(m,d) = D_A(e,d|A^2)."] | List | multi_distributed | true | [
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"images/2003.13227v3... | 57,474 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_multi_distributed_011 | 2003.13227v3 | What formulas does the paper give for D_X on Met(X) and for the metric E on C(X^2)? | ["D_X(d,e) = sup_{(x,y) in X^2} |d(x,y) - e(x,y)|.", "E(f,g) = min{1, sup_{(x,y) in X^2} |f(x,y) - g(x,y)|}."] | List | multi_distributed | true | [
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"images/2003.13227v3... | 57,435 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_multi_local_010 | 2003.13227v3 | Across the later sections, what conclusions are stated in Theorem 4.7, Theorem 4.15, and Lemma 5.1 about spaces or sets of metrics? | ["Theorem 4.7: for every non-discrete completely metrizable space X, the set of all d in Comp(X) for which (X,d) satisfies the anti-G-transmissible property is dense G_delta in Comp(X).", "Theorem 4.15: for every non-discrete metrizable space X, the set of all metrics d in Met(X) for which (X,d) has rich pseudo-cones i... | List | multi_local | true | [
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"images/2003.13227v3... | 57,524 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_000 | 2003.13227v3 | In Example 1.1, how many properties on metric spaces are listed as transmissible properties? | 6 | Integer | reasoning | true | [
2
] | [] | [
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"images/2003.13227v3... | 57,371 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_001 | 2003.13227v3 | In the paper's subsection titled “Main results,” how many theorem statements labeled Theorem 1.1, Theorem 1.2, or Theorem 1.3 are introduced? | 3 | Integer | reasoning | true | [
1,
3
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"images/2003.13227v3... | 57,390 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_002 | 2003.13227v3 | In the preliminary material covering the Stone theorem, the Kuratowski embedding theorem, and Baire spaces, how many numbered theorem-or-lemma statements appear? | 4 | Integer | reasoning | true | [
5
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"images/2003.13227v3... | 57,382 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_003 | 2003.13227v3 | In subsection 4.2, from Lemma 4.8 through Theorem 4.12, how many numbered Lemma, Proposition, or Theorem statements appear, excluding remarks? | 5 | Integer | reasoning | true | [
12,
13
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"images/2003.13227v3... | 57,389 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_004 | 2003.13227v3 | On the page where the ultratriangle and Ptolemy inequalities are defined, what is the difference between the number of points used in the Ptolemy inequality and the number of points used in the ultratriangle inequality? | 1 | Integer | reasoning | true | [
16
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"images/2003.13227v3... | 57,398 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_005 | 2003.13227v3 | How many total conditions are explicitly listed for the constructed metric in Theorem 3.4 and for the auxiliary metric h in the proof of that theorem? | 5 | Integer | reasoning | true | [
7,
8
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"images/2003.13227v3... | 57,382 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_reasoning_007 | 2003.13227v3 | In Lemma 4.5, how many cases are given in the displayed piecewise definition of the metric d_L? | 4 | Integer | reasoning | true | [
10
] | [] | [
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"images/2003.13227v3... | 57,375 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_single_009 | 2003.13227v3 | What does Lemma 5.1 state about Met(X) for every second-countable locally compact metrizable space X? | Met(X) is completely metrizable; in particular, it is Baire. | String | single | true | [
18
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"images/2003.13227v3... | 57,391 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2003.13227v3_unanswerable_008 | 2003.13227v3 | What is the combined monetary funding amount awarded through the JSPS KAKENHI Grant Numbers 18J21300 and JP24KJ0182 acknowledged in the paper? | Not answerable. | Unanswerable | unanswerable | false | [] | [
4
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"images/2003.13227v3... | 57,396 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2003.13227v3 | CC-BY-4.0 | 22 | 20 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_000 | 2004.10144v4 | Using Fig. 2 and Fig. 6, how many more named energy-spectrum phases are shown in Fig. 2 than plotted panels are shown in Fig. 6? | 2 | Integer | reasoning | true | [
4,
7
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"images/2004.10144v4... | 38,080 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_001 | 2004.10144v4 | In the list of Fermi-surface situations in Section III, how many listed situations are not the 'Disconnected Fermi surfaces' case? | 2 | Integer | reasoning | true | [
4
] | [] | [
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"images/2004.10144v4... | 38,071 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_002 | 2004.10144v4 | Across Section II, how many lettered subsections are visible from the subsection headings 'Low-energy band dispersion' and 'Topological properties'? | 2 | Integer | reasoning | true | [
1,
3
] | [] | [
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"images/2004.10144v4... | 38,071 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_003 | 2004.10144v4 | In Appendix B, how many separate matching conditions are displayed in Eq. (B5)? | 4 | Integer | reasoning | true | [
9
] | [] | [
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"images/2004.10144v4... | 38,061 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_004 | 2004.10144v4 | Adding Appendix A's matching-system equations in Eq. (A1) to Appendix B's matching conditions in Eq. (B5), how many equations or conditions are there in total? | 8 | Integer | reasoning | true | [
8,
9
] | [] | [
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"images/2004.10144v4... | 38,080 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_005 | 2004.10144v4 | In Appendix C, how many fewer real longitudinal solutions are admitted at β = π/2 than the four possible solutions described for the general β ≠ 0, π/2 case? | 2 | Integer | reasoning | true | [
10
] | [] | [
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"images/2004.10144v4... | 38,080 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_006 | 2004.10144v4 | How many component entries are there in total when the three-entry normalized eigenstate in Eq. (C7) is combined with the three-entry eigenstate in Eq. (D5)? | 6 | Integer | reasoning | true | [
10,
11
] | [] | [
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"images/2004.10144v4... | 38,080 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_007 | 2004.10144v4 | In Section II.A, Eq. (1) presents the Hamiltonian H as a 3-by-3 matrix. How many scalar positions does that matrix contain? | 9 | Integer | reasoning | true | [
1
] | [] | [
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"images/2004.10144v4... | 38,076 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_008 | 2004.10144v4 | Comparing the paper’s SKT-regime conductance formulas, what is the ratio of the coefficient multiplying the common factor G0 Ly kmax/π in Appendix A’s parallel-to-deformation result Gx^SKT to the coefficient in Section IV’s Eq. (29) result GSKT? | 2 | Integer | reasoning | true | [
7,
9
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"images/2004.10144v4... | 38,106 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_009 | 2004.10144v4 | In Fig. D-1, how many lower polar-plot panels are labeled by different β values? | 3 | Integer | reasoning | true | [
12
] | [] | [
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"images/2004.10144v4... | 38,064 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_010 | 2004.10144v4 | How many displayed lines are there in total when Eq. (23)'s two momentum-component transformations are combined with Eq. (25)'s two spatial-region wave-function expressions? | 4 | Integer | reasoning | true | [
6,
7
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"images/2004.10144v4... | 38,080 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2004.10144v4_reasoning_011 | 2004.10144v4 | In Appendix E, Eq. (E6) gives expressions for how many amplitudes? | 2 | Integer | reasoning | true | [
12
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"images/2004.10144v4... | 38,062 | gpt-5.5-2026-04-24 | Physics | https://arxiv.org/abs/2004.10144v4 | CC-BY-4.0 | 15 | 15 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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2006.05284v3_multi_local_000 | 2006.05284v3 | How does the paper’s positive-renormalisation development connect abstract character properties, model construction, and translation invariance? State (1) the two algebra-morphism conclusions of Theorem 3.12, (2) Definition 4.1’s formulas for the model map \(\Pi_z\) and the character \(f_z\), and (3) Corollary 4.3’s id... | (1) Theorem 3.12 states that the counterterm map \(\varphi^-_{x,\bar x}\) is an algebra morphism from \(H^{\mathfrak D}_+\) into \(\mathcal H^-_x\), while the renormalised map \(\varphi^+_{x,\bar x}\) is an algebra morphism from \(H^{\mathfrak D}\) into \(\mathcal H\) and sends trees in \(\mathfrak T^{\mathfrak D}_+\) ... | String | multi_local | true | [
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"images/2006.05284v3... | 73,307 | gpt-5.6-sol | Mathematics | https://arxiv.org/abs/2006.05284v3 | CC-BY-4.0 | 28 | 26 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt56_two_qa | legacy_full_document | [
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2006.05284v3_single_001 | 2006.05284v3 | According to Theorem 3.17 under Assumption 2, on which trees is the counter term map invariant in its second subscript? | Trees that have a zero node decoration at the root. | String | single | true | [
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2011.08259v2_multi_distributed_001 | 2011.08259v2 | In Section 4's group-theoretic proof, what does Lemma 4.1 say about the morphism from G_0^0 to Sp(2n), what unique splitting property is stated in Lemma 4.7, and what central-extension lift is asserted by the Basic Lemma? | ["Lemma 4.1 states that there is a surjective homomorphism G_0^0 -> Sp(2n) whose kernel is a unipotent algebraic group.", "Lemma 4.7 states that the restriction of the extension 1 -> W-hat -> G-tilde_0^e -> G_0 -> 1 to G_0^0 admits a unique splitting, equivalently a unique homomorphism G_0^0 -> G-tilde_0^e whose compos... | List | multi_distributed | true | [
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2011.08259v2_multi_distributed_006 | 2011.08259v2 | Compare the definitions of Frobenius-constant and G_m-equivariant Frobenius-constant quantizations: what is the isomorphism s in the former definition, and what condition is imposed on O_h/(h) in the latter definition? | ["For a Frobenius-constant quantization, s is an O_X'-[[h]]-algebra isomorphism s: O_X'[[h]] -> Z_h.", "For a G_m-equivariant Frobenius-constant quantization, the restriction O_h/(h) -> O_X is required to be an isomorphism of G_m-equivariant O_X'-algebras."] | List | multi_distributed | true | [
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2011.08259v2_multi_local_004 | 2011.08259v2 | In the introduction, what vanishing condition makes the Bezrukavnikov-Kaledin map rho a bijection, and what separate vanishing condition in Theorem 1 makes O_h^circ a split Azumaya algebra? | ["rho is a bijection when H^1_Zar(X', O_X'/O_X'^p) = 0 and H^2_Zar(X', O_X'/O_X'^p) = 0.", "Theorem 1 states that if H^2(X, O_X) = 0, then O_h^circ is a split Azumaya algebra."] | List | multi_local | true | [
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2011.08259v2_multi_local_009 | 2011.08259v2 | In the review of the Bezrukavnikov-Kaledin construction, what is the algebra A_0 in the Darboux lemma, and what torsor description is used for restricted Poisson structures in the formal-geometry subsection? | ["A_0 = k[x_1,y_1,...,x_n,y_n]/(x_1^p,y_1^p,...,x_n^p,y_n^p).", "The formal-geometry subsection says that restricted Poisson structures [eta] on X are in bijection with G_0-torsors over X' equipped with an isomorphism of Aut(A_0)-torsors."] | List | multi_local | true | [
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2011.08259v2_reasoning_002 | 2011.08259v2 | Across Section 5, how many more numbered displayed equations appear on the page introducing Theorem 5 than on the page defining G_m-equivariant quantizations? | 0 | Integer | reasoning | true | [
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2011.08259v2_reasoning_007 | 2011.08259v2 | Using the table of contents, how many printed pages separate the start of Section 5, “G_m-equivariant quantizations,” from the start of Section 6, “Appendix”? | 2 | Integer | reasoning | true | [
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2011.08259v2_single_003 | 2011.08259v2 | In Proposition 6.2 about subgroups of LGL(n), what factorization through a conjugate of L^+GL(n) is guaranteed for a homomorphism phi: G -> LGL(n)? | There exists an element g in GL(n,k((h))) such that phi factors through g(L^+GL(n))g^{-1} -> LGL(n). | String | single | true | [
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2011.08259v2_single_005 | 2011.08259v2 | According to the abstract, after inverting the Planck constant h, what is the Bezrukavnikov-Kaledin quantization of a symplectic variety in characteristic p equivalent to when H^2(X,O_X)=0? | It is Morita equivalent to a certain central reduction of the algebra of differential operators on X. | String | single | true | [
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2011.08259v2_single_008 | 2011.08259v2 | In Section 2.6, what map rho is defined from isomorphism classes of Frobenius-constant quantizations compatible with [eta]? | rho: Q(X,[eta]) -> H^1_et(X', O_X'^*/O_X'^p). | String | single | true | [
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2011.08259v2_single_010 | 2011.08259v2 | What invariant connection does Lemma 4.13 assert exists on alpha-tilde? | Lemma 4.13 asserts that there exists a unique Sp_{2n} ⋉ alpha-invariant W-hat-connection nabla on alpha-tilde. | String | single | true | [
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2011.08259v2_unanswerable_000 | 2011.08259v2 | The acknowledgements state that the work was partially supported by Russian Science Foundation grant No. 21-11-00153. Using the paper’s title block for the author count, what was the average monetary support per listed author from that grant? | Not answerable. | Unanswerable | unanswerable | false | [] | [
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2011.08259v2_unanswerable_011 | 2011.08259v2 | In the Acknowledgements, what specific technical difficulty did conversations with Dmitry Kaledin help the authors overcome? | Not answerable. | Unanswerable | unanswerable | false | [] | [
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2102.01462v3_multi_distributed_000 | 2102.01462v3 | In the paper’s Section 3 discussion of Pimsner-Popa bases, what does Vaughan Jones’s Question 3.1 ask about an extremal finite-index subfactor, and what does Corollary 3.15 later assert for irreducible depth-2 inclusions? | ["Question 3.1 asks whether, if N is a II_1-factor and N ⊂ M is an extremal subfactor of finite index, M/N always has a two-sided Pimsner-Popa basis for M over N.", "Corollary 3.15 asserts that every finite index irreducible inclusion of II_1 factors of depth 2 admits a two-sided orthonormal basis."] | List | multi_distributed | true | [
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2102.01462v3_multi_distributed_001 | 2102.01462v3 | How does Definition 2.1 set up the algebraic ingredients of a weak bialgebra, and in Theorem 4.6 what weak Kac algebra conclusion is obtained for a regular inclusion with commutative first relative commutant? | ["Definition 2.1 says a weak bialgebra is a quintuple (A, m, η, Δ, ε) such that (A, m, η) is an algebra and (A, Δ, ε) is a coalgebra, with compatibility conditions between the algebra and coalgebra structures.", "Theorem 4.6 concludes that there exists a biconnected weak Kac algebra K and a minimal action of K on N suc... | List | multi_distributed | true | [
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2102.01462v3_multi_distributed_002 | 2102.01462v3 | What three basis-related open or natural questions/problems are stated around Question 3.8, Conjecture 3.20, and the beginning of Section 4? | ["Question 3.8 asks whether, if N ⊂ M is a depth-2 subfactor of type II_1 of finite index, M/N always has a two-sided basis.", "Conjecture 3.20 states that if N ⊂ M is a finite index regular inclusion of factors of type II_1, then M/N has a unitary orthonormal basis.", "At the beginning of Section 4, the authors state ... | List | multi_distributed | true | [
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2102.01462v3_multi_distributed_004 | 2102.01462v3 | How do the paper’s group crossed-product examples differ between the outer-action example in Section 3.1 and the inner-action example in Example 4.7? | ["In Example 3.2, if G acts outerly on a II_1-factor N, then N ⋊ G always possesses a two-sided unitary orthonormal basis over N ⋊ H.", "In Example 4.7, if a finite group G acts innerly on a II_1 factor N so that M = N ⋊ G is a II_1 factor, then the inclusion N ⊂ M is regular and N' ∩ M is nontrivial."] | List | multi_distributed | true | [
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2102.01462v3_multi_distributed_009 | 2102.01462v3 | What three depth- or basis-related conclusions are given by Proposition 3.12, Theorem 3.21, and Theorem 4.3? | ["Proposition 3.12 says that for a finite index depth-2 subfactor N ⊂ M of type II_1 with a tunnel construction, the inclusions N_{-2k} ⊂ N_{-2k+1} have depth 2 and M_{2k-1} ⊂ M_{2k} is also of depth 2 for all k ≥ 1.", "Theorem 3.21 says that if N ⊂ M is a finite index regular inclusion of factors of type II_1 and N' ∩... | List | multi_distributed | true | [
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2102.01462v3_multi_local_006 | 2102.01462v3 | What do Proposition 3.6, Theorem 3.21, and Theorem 4.6 respectively conclude about regular inclusions under prime-index or first-relative-commutant hypotheses? | ["Proposition 3.6 concludes that if N ⊂ M is a finite index regular inclusion of II_1-factors with [M:N] = p prime, then N ⊂ M is irreducible and is isomorphic to N ⊂ N ⋊ G, where the cyclic group G = Z/pZ acts outerly on N.", "Theorem 3.21 concludes that if N ⊂ M is a finite index regular inclusion of factors of type ... | List | multi_local | true | [
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2102.01462v3_multi_local_011 | 2102.01462v3 | What does Remark 2.5 say about when a finite groupoid’s groupoid algebra is biconnected, and what characterization does Theorem 2.9 give for finite-index irreducible depth-2 inclusions? | ["Remark 2.5 says that for a finite groupoid G, the groupoid algebra C[G] is biconnected if and only if G is a group.", "Theorem 2.9 says that a finite index irreducible inclusion N ⊂ M of II_1-factors is of depth 2 if and only if there exist a biconnected weak Hopf C*-algebra H and a minimal action of H on M_1 such th... | List | multi_local | true | [
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2102.01462v3_reasoning_008 | 2102.01462v3 | How many explicitly labeled Question statements appear in subsection 3.1.1 and in the opening part of subsection 3.2 ending with Conjecture 3.20, combined? | 2 | Integer | reasoning | true | [
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2102.01462v3_single_003 | 2102.01462v3 | In Corollary 4.4, what conclusion follows when N ⊂ M is a finite index regular inclusion of type II_1 factors and N' ∩ M is commutative? | It has depth 2. | String | single | true | [
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2102.01462v3_single_005 | 2102.01462v3 | According to Definition 2.2, when is a weak Hopf C*-algebra called a weak Kac algebra? | A weak Hopf C*-algebra (A, m, η, Δ, ε, S) is called a weak Kac algebra if S^2 = Id_A and S is *-preserving. | String | single | true | [
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2102.01462v3_single_007 | 2102.01462v3 | In Proposition 3.7, what is said about the Watatani index for a finite index regular inclusion of II_1-factors? | The Watatani index of the restriction of tr_M to N' ∩ M is a scalar. | String | single | true | [
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2102.01462v3_single_010 | 2102.01462v3 | In the proof of Proposition 3.23, what set formed from the Sylvester-Weyl matrices U and V is stated to be a unitary error basis for M_n(C)? | The set {U^i V^j : 1 ≤ i, j ≤ n} is stated to form a unitary error basis for M_n(C). | String | single | true | [
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2102.13259v2_multi_distributed_007 | 2102.13259v2 | In the construction leading to Theorem 2.7, state the trigonometric form required in Lemma 2.3, the hyperbolicity condition from Definition 2.5, and the polynomial identity chosen for A in Theorem 2.7. | ["Lemma 2.3 uses F(t:phi)=t^{n+1}+p_n t^n+...+p_1 t+p_0 - u cos(phi) - v sin(phi).", "Definition 2.5 requires Q(1,0,0)>0 and Q(t,x0,y0)=0 to have m real solutions counting multiplicities for every (x0,y0) with x0^2+y0^2>0.", "Theorem 2.7 chooses A so that F_A(t,x,y)=(G_n(t,x,y)-|alpha_n x+gamma_n y|^2 H_n(t,x,y))^2 - 4... | List | multi_distributed | true | [
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2102.13259v2_multi_local_005 | 2102.13259v2 | How do the introduction and Theorem 2.7 each describe the finite-matrix reduction of a periodic tridiagonal operator’s closed numerical range? | ["The introduction says the closure of the numerical range of an n+1 periodic tridiagonal operator is the numerical range of a 2(n+1) × 2(n+1) matrix.", "Theorem 2.7 states that for T(a,b,c) there exists a 2(n+1) × 2(n+1) complex matrix A such that overline{W(T(a,b,c))} = W(A)."] | List | multi_local | true | [
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2102.13259v2_multi_local_011 | 2102.13259v2 | For Examples 2.10 and 2.12, what coefficient equality makes a gamma term vanish, and what common geometric conclusion do the examples draw for overline{W(T(a,b,c))}? | ["Example 2.10: if a0 = c1, then gamma1 = 0; overline{W(T(a,b,c))} is the convex hull of two ellipses, possibly degenerate, each a translation of a single ellipse centered at the origin.", "Example 2.12: if c0 = a1, then gamma0 = 0; overline{W(T(a,b,c))} is likewise the convex hull of two ellipses, possibly degenerate,... | List | multi_local | true | [
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2102.13259v2_reasoning_001 | 2102.13259v2 | Compared with the symbol matrix T_phi defined for n>1, by what factor is the number of entries in the matrix A from Theorem 2.7 larger? | 4 | Integer | reasoning | true | [
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2102.13259v2_reasoning_004 | 2102.13259v2 | Lemma 2.3 assumes that F(t:phi) has n+1 real roots for any angle phi. If n = 4, how many real roots are assumed? | 5 | Integer | reasoning | true | [
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2102.13259v2_reasoning_010 | 2102.13259v2 | Add the number of rows in the matrix S displayed in Proposition 2.8 to the number of vertices listed for the square described in Example 2.11. What is the total? | 8 | Integer | reasoning | true | [
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2102.13259v2_single_000 | 2102.13259v2 | In the abstract, what finite-dimensional object is the closure of the numerical range of an n+1-periodic tridiagonal operator shown to equal? | The numerical range of a 2(n+1) × 2(n+1) complex matrix. | String | single | true | [
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2102.13259v2_single_002 | 2102.13259v2 | In the notation introduced before Proposition 2.2, how are alpha_j and gamma_j defined for 0 ≤ j < n? | alpha_j = (c_j + overline{a_{j+1}})/2 and gamma_j = (c_j - overline{a_{j+1}})/(2i). | String | single | true | [
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2102.13259v2_single_003 | 2102.13259v2 | According to Definition 2.5, what condition makes the real homogeneous polynomial Q hyperbolic with respect to (1,0,0)? | Q is hyperbolic with respect to (1,0,0) if Q(1,0,0) > 0 and, for every (x0,y0) in R^2 with x0^2 + y0^2 > 0, the equation Q(t,x0,y0)=0 in t has m real solutions counting multiplicities. | String | single | true | [
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"images/2102.13259v2/page006.png",
"images/2102.13259v2/page007.png",
"images/2102.13259v2... | 35,613 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2102.13259v2 | CC-BY-4.0 | 14 | 12 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13
] | [] | null | null | 1 | 0 | near |
2102.13259v2_single_006 | 2102.13259v2 | In Example 2.11, what geometric set is overline{W(T(a,b,c))} identified with? | The square with vertices -1 - i, -1 + i, 1 - i, and 1 + i. | String | single | true | [
11
] | [] | [
"images/2102.13259v2/page000.png",
"images/2102.13259v2/page001.png",
"images/2102.13259v2/page002.png",
"images/2102.13259v2/page003.png",
"images/2102.13259v2/page004.png",
"images/2102.13259v2/page005.png",
"images/2102.13259v2/page006.png",
"images/2102.13259v2/page007.png",
"images/2102.13259v2... | 35,559 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2102.13259v2 | CC-BY-4.0 | 14 | 12 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13
] | [] | null | null | 1 | 0 | near |
2102.13259v2_single_008 | 2102.13259v2 | What is the title of the paper? | THE NUMERICAL RANGE OF A PERIODIC TRIDIAGONAL OPERATOR REDUCES TO THE NUMERICAL RANGE OF A FINITE MATRIX | String | single | true | [
0
] | [] | [
"images/2102.13259v2/page000.png",
"images/2102.13259v2/page001.png",
"images/2102.13259v2/page002.png",
"images/2102.13259v2/page003.png",
"images/2102.13259v2/page004.png",
"images/2102.13259v2/page005.png",
"images/2102.13259v2/page006.png",
"images/2102.13259v2/page007.png",
"images/2102.13259v2... | 35,547 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2102.13259v2 | CC-BY-4.0 | 14 | 12 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
0,
1,
2,
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5,
6,
7,
8,
9,
10,
11,
12,
13
] | [] | null | null | 1 | 0 | near |
2102.13259v2_unanswerable_009 | 2102.13259v2 | What software or plotting package was used to create Figure 1 showing the boundary of the numerical range of S? | Not answerable. | Unanswerable | unanswerable | false | [] | [
10
] | [
"images/2102.13259v2/page000.png",
"images/2102.13259v2/page001.png",
"images/2102.13259v2/page002.png",
"images/2102.13259v2/page003.png",
"images/2102.13259v2/page004.png",
"images/2102.13259v2/page005.png",
"images/2102.13259v2/page006.png",
"images/2102.13259v2/page007.png",
"images/2102.13259v2... | 35,535 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2102.13259v2 | CC-BY-4.0 | 14 | 12 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13
] | [] | null | null | 0 | null | no_evidence |
2103.05478v6_reasoning_000 | 2103.05478v6 | On the title page of “Small errors in random zeroth-order optimization are imaginary,” how many authors are listed under the title? | 3 | Integer | reasoning | true | [
0
] | [] | [
"images/2103.05478v6/page000.png",
"images/2103.05478v6/page001.png",
"images/2103.05478v6/page002.png",
"images/2103.05478v6/page003.png",
"images/2103.05478v6/page004.png",
"images/2103.05478v6/page005.png",
"images/2103.05478v6/page006.png",
"images/2103.05478v6/page007.png",
"images/2103.05478v6... | 86,021 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2103.05478v6 | CC-BY-4.0 | 33 | 28 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32
] | [] | null | null | 1 | 0 | near |
2103.05478v6_reasoning_002 | 2103.05478v6 | Figure 7.1 contains panels labeled (a) through (d). How many panels does the figure contain? | 4 | Integer | reasoning | true | [
23
] | [] | [
"images/2103.05478v6/page000.png",
"images/2103.05478v6/page001.png",
"images/2103.05478v6/page002.png",
"images/2103.05478v6/page003.png",
"images/2103.05478v6/page004.png",
"images/2103.05478v6/page005.png",
"images/2103.05478v6/page006.png",
"images/2103.05478v6/page007.png",
"images/2103.05478v6... | 86,018 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2103.05478v6 | CC-BY-4.0 | 33 | 28 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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18,
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20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32
] | [] | null | null | 1 | 0 | near |
2103.05478v6_reasoning_003 | 2103.05478v6 | Compare the denominator constants in two step-size formulas: Theorem 4.1 uses μ = 1/(2nL1), while the numerical experiments use μk = 1/(4(n+4)L1). What is the difference between the constants 4 and 2? | 2 | Integer | reasoning | true | [
16,
22
] | [] | [
"images/2103.05478v6/page000.png",
"images/2103.05478v6/page001.png",
"images/2103.05478v6/page002.png",
"images/2103.05478v6/page003.png",
"images/2103.05478v6/page004.png",
"images/2103.05478v6/page005.png",
"images/2103.05478v6/page006.png",
"images/2103.05478v6/page007.png",
"images/2103.05478v6... | 86,053 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2103.05478v6 | CC-BY-4.0 | 33 | 28 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32
] | [] | null | null | 2 | 0.1875 | near |
2103.05478v6_reasoning_004 | 2103.05478v6 | In Example 2.8, the comparison is shown at test points x = -1, x = 0, and x = 10. What is the numerical range between the largest and smallest of these x-values? | 11 | Integer | reasoning | true | [
10
] | [] | [
"images/2103.05478v6/page000.png",
"images/2103.05478v6/page001.png",
"images/2103.05478v6/page002.png",
"images/2103.05478v6/page003.png",
"images/2103.05478v6/page004.png",
"images/2103.05478v6/page005.png",
"images/2103.05478v6/page006.png",
"images/2103.05478v6/page007.png",
"images/2103.05478v6... | 86,042 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2103.05478v6 | CC-BY-4.0 | 33 | 28 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32
] | [] | null | null | 1 | 0 | near |
2103.05478v6_reasoning_005 | 2103.05478v6 | Example 7.1 sets n = 5, while Example 7.3 considers dimensions n ∈ {1, 10, 100}. What is the difference between the largest dimension in Example 7.3 and the value of n in Example 7.1? | 95 | Integer | reasoning | true | [
23,
24
] | [] | [
"images/2103.05478v6/page000.png",
"images/2103.05478v6/page001.png",
"images/2103.05478v6/page002.png",
"images/2103.05478v6/page003.png",
"images/2103.05478v6/page004.png",
"images/2103.05478v6/page005.png",
"images/2103.05478v6/page006.png",
"images/2103.05478v6/page007.png",
"images/2103.05478v6... | 86,055 | gpt-5.5-2026-04-24 | Mathematics | https://arxiv.org/abs/2103.05478v6 | CC-BY-4.0 | 33 | 28 | arxiv_research_paper | en | majority of full-context generator domain labels | gpt55_production | legacy_full_document | [
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29,
30,
31,
32
] | [] | null | null | 2 | 0.03125 | near |
MMProLong-Data-Public
This is a newly constructed public corpus associated with MMProLong, not the original training data used in the paper. Due to ByteDance's internal data governance and management requirements, we cannot open-source the paper's original training corpus. This release is constructed separately from publicly accessible documents. It supports research on long-context document understanding; it does not establish reproduction of the paper's reported results.
Current production uses GPT-5.6, recorded as gpt-5.6-sol. The release also retains historical GPT-5.5 examples, with actual model identifiers on every QA row. See generation provenance for current counts and the model-specific loading example below.
Public snapshot (2026-11-10): 39,739 QA examples, 8,538 source PDFs, 191,774 unique page images, and 2,368,519,161 estimated training tokens (approximately 2.369B).
If you use the dataset, annotations, or synthesis methodology, please cite the MMProLong paper. The BibTeX entry is provided in Citation.
Quick links
- Relationship to the paper
- Dataset details and statistics
- Classification and annotation schema
- Generation provenance
- Download and use
- Files and formats
- Quality checks and limitations
- Reproduce the statistics
- Citation
Relationship to the paper
The paper is Training Long-Context Vision-Language Models Effectively with Generalization Beyond 128K Context, NeurIPS 2026. Its code is available in the MMProLong GitHub repository.
| Aspect | Original paper | This public release |
|---|---|---|
| Data availability | Original corpus cannot be released under ByteDance's internal data governance requirements | Separately constructed public-document corpus |
| Document sources | A multi-source pool of 1,537,504 PDFs, including papers, books, and manuals | Admitted public research papers; see measured source counts below |
| Generation model | Seed 2.0 for the paper's VQA synthesis | Current pipeline: GPT-5.6-sol; retained historical GPT-5.5 examples are labeled |
| VQA construction | Generate from coherent 8-15-page segments, then restore full-document context | Full-document generation/review, explicit local/distributed evidence constraints, and unanswerable examples |
| Default VQA page range | 32-50 pages | Observed range: 14-50 pages |
| Supervision | Three VQA tasks; OCR transcription studied separately | Five QA types; no OCR-transcription training split |
| Experiment claims | Results and ablations reported in the paper | No claim that this snapshot produced those results |
The paper's default VQA study reports 177,774 examples and approximately 15.16B tokens across three task-specific pools. Its 5B-token training budget is per experimental run. Those quantities describe the paper's data and experiments, not this public snapshot. The manuscript uses binary prefixes (K = 2^10, B = 2^30); quoted paper statistics retain that convention. This public card uses decimal K = 1,000 and B = 1,000,000,000, with exact token counts available. The >=100Ki statistic uses 102,400 tokens to match the paper's 100K threshold.
Dataset details and statistics
All counts below describe admitted QA examples. Rejected candidates, held documents, and uncommitted production outputs are excluded. A unique PDF is counted once in document statistics; its context is counted again for each QA in training-sample statistics.
Corpus scale
| Statistic | Public snapshot value |
|---|---|
| Admitted unique PDFs | 8,538 |
| Document family | Public research papers |
| Unique rendered page images | 191,774 |
| Document pages: mean / median | 22.46 / 20 |
| Document pages: range / 5th-95th percentile | 14-50 / 14-38 |
| Admitted QA examples | 39,739 |
| Estimated training tokens | 2,368,519,161 (2.369B) |
| Per-QA tokens: mean / median | 59.602K / 53.273K |
| Observed token range | 33,547-125,503 |
| At least 100,000 tokens | 2,633 (6.63%) |
| At least 100Ki = 102,400 tokens (paper threshold) | 2,212 (5.57%) |
| Page references across all QA contexts | 932,381 |
Document sources
| Source | Unique documents |
|---|---|
| arxiv | 4,386 |
| elife | 20 |
| plos | 4,132 |
Tokens are the stored Qwen2.5-VL serialized-sample estimate, including full page-image context and QA/prompt text. A PDF used by several questions contributes its context repeatedly to the training-token total. This is not a count of unique-text tokens or billed API tokens. Page images are physically stored once per document.
Task-level statistics
| Task | QA | Avg. pages | Avg. K tokens | B tokens | Pages | K-token range | >=100Ki |
|---|---|---|---|---|---|---|---|
single |
14,409 | 23.32 | 59.21 | 0.853 | 14-50 | 33.80-125.13 | 5.50% |
multi_local |
7,083 | 23.60 | 60.03 | 0.425 | 14-50 | 33.85-125.50 | 5.53% |
multi_distributed |
7,174 | 23.40 | 59.47 | 0.427 | 14-50 | 33.84-125.29 | 5.58% |
reasoning |
7,181 | 23.39 | 59.39 | 0.427 | 14-50 | 33.55-125.11 | 5.32% |
unanswerable |
3,892 | 23.98 | 60.88 | 0.237 | 14-50 | 33.79-125.09 | 6.32% |
| Total | 39,739 | 23.46 | 59.60 | 2.369 | 14-50 | 33.55-125.50 | 5.57% |
K = 1,000, B = 1,000,000,000; 100Ki = 102,400 tokens. Average pages in this table are QA-weighted, whereas the corpus-scale document average counts each PDF once. The two multi-page rows may be combined for comparison with the paper's broader extraction category. Unanswerable QA is an additional public-data task. Exact values, quantiles, and the combined task grouping are in metadata/statistics.json.
Primary-domain distribution
| Primary domain | Documents | Document share | QA | QA share |
|---|---|---|---|---|
| Physics | 1,325 | 15.52% | 9,290 | 23.38% |
| Computer Science | 1,269 | 14.86% | 9,189 | 23.12% |
| Mathematics | 1,239 | 14.51% | 8,830 | 22.22% |
| Biology | 983 | 11.51% | 1,917 | 4.82% |
| Medicine | 922 | 10.80% | 2,038 | 5.13% |
| Social Science | 807 | 9.45% | 1,951 | 4.91% |
| Economics | 787 | 9.22% | 1,927 | 4.85% |
| Engineering | 771 | 9.03% | 3,413 | 8.59% |
| Earth Science | 410 | 4.80% | 1,075 | 2.71% |
| Language and Literature | 16 | 0.19% | 51 | 0.13% |
| Other | 9 | 0.11% | 58 | 0.15% |
Document and QA shares differ because historical phases generated different numbers of questions per PDF. Domain labels describe the source PDF, not a separate topic inferred for each question.
Answer types and per-document sampling
| Answer format | QA | Share |
|---|---|---|
| Integer | 5,962 | 15.00% |
| Float | 2,710 | 6.82% |
| List | 13,722 | 34.53% |
| String | 13,453 | 33.85% |
| Unanswerable | 3,892 | 9.79% |
There are 35,847 answerable and 3,892 unanswerable QA examples. The observed necessary-evidence page counts are: 0 pages: 3,892, 1 pages: 18,080, 2 pages: 12,043, 3 pages: 4,492, 4 pages: 1,220, 5 pages: 7, 6 pages: 3, 7 pages: 1, 8 pages: 1.
Observed QA count per source document
| QA per document | Documents |
|---|---|
| 1 | 1,047 |
| 2 | 5,084 |
| 6 | 1 |
| 8 | 1 |
| 9 | 7 |
| 10 | 51 |
| 11 | 259 |
| 12 | 2,084 |
| 20 | 4 |
The 20-QA documents belong to the initial pilot; the two-QA limit applies to the current GPT-5.6 phase.
Generation methods
| Recorded method | QA |
|---|---|
| legacy_full_document | 32,432 |
| released_prompt_window_v1 | 4,569 |
| document_tool_agent_v1 | 2,738 |
Domain-label provenance
| Recorded method | Documents |
|---|---|
| majority of full-context generator domain labels | 4,330 |
| arXiv primary category mapping | 113 |
| manual primary-topic classification for validated pilot batches | 9 |
| majority of independent full-document verifier topic labels | 3,994 |
| Crossref subject-query sampling; provisional until generator topic vote | 92 |
Language annotation
| Estimated document language | Documents | Document share | Associated QA |
|---|---|---|---|
English (en) |
8,533 | 99.941% | 39,699 |
Spanish (es) |
2 | 0.023% | 14 |
French (fr) |
1 | 0.012% | 2 |
Russian (ru) |
1 | 0.012% | 12 |
Chinese (zh) |
1 | 0.012% | 12 |
Language labels are automatic estimates of the source document's dominant sampled language, not human-verified labels. We apply langid==1.1.6 to embedded PDF text from up to six pages spanning the document body. Non-English or uncertain predictions are rechecked after Unicode normalization and filtering short equation-like lines. Low-scoring or text-poor cases use und (undetermined). No OCR is run for this annotation. The normalized classifier score is not a calibrated accuracy estimate. QA prompts and generated answers are in English.
Per-document sampling pages, status, method, and score are available in metadata/document_languages.jsonl. The raw initial prediction is retained for rechecked cases.
Classification and annotation schema
Every admitted document has a primary-domain label. This single-label topical taxonomy is separate from the QA task taxonomy. Labels come from recorded generator votes, independent full-document verifier votes, arXiv primary-category mapping, provisional journal subject queries, or pilot assignments; counts and recorded methods appear in the provenance table above. These labels have not undergone comprehensive human validation.
The documents viewer and metadata/document_labels.parquet provide one row per source PDF: title, URL, source hash, document type, domain and its assignment method, automatic language annotation, page counts, unique image-token estimate, QA count, training-token sum, question types, generation models, and source license.
The default viewer provides one row per QA:
| Field(s) | Meaning |
|---|---|
id, document_id |
Stable QA identifier and source-PDF join key |
question, answer, answer_format |
Question, rendered answer, and answer type; list answers are JSON strings in the viewer table |
kind |
single, multi_local, multi_distributed, reasoning, or unanswerable |
answerable |
Whether the complete source document supports an answer |
source_domain, domain_tag_method |
Primary topical domain and recorded assignment procedure |
model, generation_phase |
Actual recorded generator identifier and historical sampling phase |
document_type, document_language |
Source family and automatic language estimate; language provenance is in the document table |
document_page_count, content_page_count |
Complete PDF pages and content-bearing pages used by the production policy |
image_paths |
Ordered relative paths to every page image in the complete source PDF |
token_count |
Stored Qwen2.5-VL estimate for the complete serialized training sample |
evidence_pages, evidence_page_count |
Necessary evidence pages, using zero-based original PDF indices |
evidence_span_normalized, evidence_distance_bin |
Actual evidence span; separate from local/distributed task labels |
related_context_pages |
Inspection anchors for unanswerable questions, not answer evidence |
source_url, source_license |
Source attribution and article-level license |
Question types
single: factual extraction requiring one evidence page.multi_local: aggregate distinct necessary facts from multiple pages within an assigned contiguous 8-15-page window.multi_distributed: combine necessary evidence from separated positions in the full PDF; medium/far span constraints are recorded.reasoning: calculate, compare, count, or otherwise reason over grounded document evidence.unanswerable: the complete document does not supply the answer or a required operand; the exact target isNot answerable.andevidence_pagesis empty.
For nonempty evidence, normalized span is (last_evidence_page - first_evidence_page) / (document_page_count - 1). Near is at most 0.2, medium is greater than 0.2 and at most 0.5, and far is greater than 0.5. Empty evidence is null / no_evidence, rather than a near-span example. A local sampling window can produce a medium normalized span in a short PDF; the sampling task and actual evidence distance should not be conflated.
Generation provenance
| Recorded generation model | Documents | QA | QA share | B training tokens |
|---|---|---|---|---|
gpt-5.5-2026-04-24 |
2,407 | 28,524 | 71.78% | 1.745 |
gpt-5.6-sol |
6,131 | 11,215 | 28.22% | 0.624 |
| Phase | Documents | QA | Maximum QA per document |
|---|---|---|---|
| Initial pilot (GPT-5.5) | 4 | 80 | 20 |
| GPT-5.5 production | 2,403 | 28,444 | 12 |
| Current GPT-5.6 production | 6,131 | 11,215 | 2 |
The current snapshot is a mixed-model historical release, not an all-GPT-5.6 corpus. Use the model field when a model-specific subset is required.
The current production configuration uses GPT-5.6-sol, at most two QA examples per document, and one target QA at a time. New hybrid candidates pass structural checks and two independent full-document verification calls. The GPT-5.6 phase additionally applies a semantic-redundancy comparison across candidate questions from the same document. Historical examples retain their original recorded model and sampling policy.
The current hybrid recipe reuses the released window sampler, generation prompt, and two LongDocURL few-shot exemplars for single/local extraction and locally planned numeric reasoning. Distributed extraction, multi-page-planned numeric reasoning, and unanswerable tasks use a document-scoped GPT-5.6 API tool loop: overview, full-text search, page-text/image inspection, and bounded arithmetic. The CLI run was a workflow prototype; production records are generated through the GPT-5.6 API.
Tool agents have access to the complete document, but their recorded image views may be selective. Unanswerable agents must receive every extracted text page and inspect related page images before submission; two separate verification calls then receive all PDF page images. A failed literal search is never accepted as an absence proof. generation_method, generation_text_pages, teacher_pages, generation_model_turns, generation_tool_calls, and generation_trace record the actual process. verification_policy distinguishes the new two-check policy from historical records. Generation traces are archived with admitted examples. The final training context remains the complete ordered PDF for every task.
When running the included production code with journal_prefetch: true, start python code/data_synthesis_doc_vqa/journal_intake.py --root <corpus-root> --policy <policy.json> in a separate process alongside local_corpus.py run with the same root and policy. The supervised production controller starts and monitors intake automatically. The prepared-input buffer is bounded by both document count and disk space; the model worker remains the sole writer of the admitted-sample ledger.
Independent document prefetch downloads and renders complete journal PDFs while the model worker processes prepared documents. Generation, verification, retries, and semantic-redundancy review advance per document. Intake favors underrepresented domains by unique-PDF counts; this is a sampling policy, not a claim that the released corpus is already balanced. Local generation uses the released 8–15-page window; independent verification and the final training sample retain every PDF page.
Configured token-mixture weights are 36% single-page extraction, 18% local multi-page extraction, 18% distributed multi-page extraction, 18% reasoning, and 10% unanswerable. These are configuration weights, not fixed row quotas. Among answerable examples, the intended extraction/reasoning proportions correspond to 4:4:2. Observed counts and token totals are reported above.
The public pipeline and policy are included under code/. The original research code and training recipes are maintained on GitHub. The original paper's Seed 2.0/OCR pipeline and this public GPT-based pipeline are different releases.
Continuous scheduling and lossless image transport
The current public runtime keeps 64 document workers supplied across storage-batch boundaries. Generation, both full-PDF reviews, tool calls, novelty checks, and retries share one 64-request concurrency limit and a rolling 1,000-QPM gate. Completed documents are admitted transactionally; a separate publisher freezes a consistent snapshot and uploads it while generation continues. Only verified, inactive local assets are evicted.
API image transport uses a smaller lossless WebP encoding when beneficial. Every conversion is decoded and checked for exact pixel equality and unchanged dimensions. Original corpus PNGs, full-document coverage, prompts, two independent reviews, and training-token accounting are preserved. Connection, request-body transfer, and response timings are recorded without headers, URLs, or payloads. The public runtime and policy are available on GitHub.
Download and use
Load the QA or document table
from datasets import load_dataset
repo = "ZhaoweiWang/MMProLong-Data-Public"
qa = load_dataset(repo, "default", split="train")
documents = load_dataset(repo, "documents", split="train")
# Select the examples actually generated with GPT-5.6.
gpt56 = qa.filter(lambda row: row["model"] == "gpt-5.6-sol")
# Example topical/task filter.
physics_reasoning = qa.filter(
lambda row: row["source_domain"] == "Physics" and row["kind"] == "reasoning"
)
The documents configuration is metadata with one row per PDF, not a second QA training split. Use document_id to join the two tables. Pin the dataset revision to a commit hash when reporting reproducible experiments.
Restore page images with bounded temporary disk usage
Use Python 3.12+ for the restoration scripts. Install the Hub CLI and table dependencies:
python -m pip install -U huggingface_hub datasets pyarrow
hf download ZhaoweiWang/MMProLong-Data-Public \
--repo-type dataset --local-dir MMProLong-Data-Public \
--include 'README.md' 'data/*' 'training/*' 'metadata/*' 'tools/*' \
'corpus.jsonl.gz' 'release_manifest.json'
python MMProLong-Data-Public/tools/hydrate_assets.py \
--root MMProLong-Data-Public --revision main --groups images
The helper downloads and verifies one archive at a time, extracts it, and removes that temporary archive. It refuses to overwrite a different existing file. Use --groups images sources provenance when PDFs and provenance records are also needed. Replace main with a fixed commit for reproducible restoration. Existing production ledgers are preserved.
Images are stored once per document. The QA table's image_paths and the training table's images are relative path strings, not embedded image bytes. Resolve them against the restored corpus directory on demand:
from pathlib import Path
root = Path("MMProLong-Data-Public")
page_paths = [root / path for path in qa[0]["image_paths"]]
assert all(path.is_file() for path in page_paths)
The canonical training/data.parquet stores VeOmni/LLaVA-style conversations with shared-image references. Adapt the image-loading step if a trainer expects bytes rather than paths. GPU training ingestion of this public snapshot has not yet been validated.
Download the complete backup
hf download ZhaoweiWang/MMProLong-Data-Public \
--repo-type dataset --local-dir MMProLong-Data-Public
python MMProLong-Data-Public/tools/restore.py --root MMProLong-Data-Public
Check the current file sizes in release_manifest.json before downloading; full extraction also needs space for the unpacked assets. Every base and dated incremental archive listed in the current manifest is required. --verify-only checks the downloaded package without extracting it. In a fresh directory, add --resume to restore the SQLite ledger and discovery checkpoint from backup/. This backup contains admitted QA; incomplete production candidates and all historical raw model responses are not part of the release.
Files and formats
| Path | Contents |
|---|---|
data/train-*.parquet |
QA viewer table with filtering labels and derived evidence fields |
training/data.parquet |
Canonical conversations and relative shared-image paths |
corpus.jsonl.gz |
Full admitted records, original answer types, evidence, verification records, and provenance |
metadata/documents.jsonl |
Original source-document metadata, authors, URLs, licenses, and PDF hashes |
metadata/document_labels.parquet, .jsonl |
One row per PDF with domain, language, document type, page counts, and associated QA statistics |
metadata/document_languages.jsonl |
Automatic language-detection evidence, status, and method |
metadata/statistics.json |
Exact totals, per-task statistics, quantiles, domain/model distributions, and histogram bins |
metadata/asset_members.jsonl.gz |
Individual archive-member paths, sizes, and SHA-256 hashes |
assets/*.png |
Public-corpus statistical figures used in this card |
archives/images-*.tar |
Ordered page images under images/<document_id>/pageNNN.png |
archives/sources-*.tar |
Source PDFs used by admitted QA |
archives/provenance-*.tar |
Source/license evidence and discovery metadata |
backup/, code/ |
Production ledger/checkpoint and the public synthesis pipeline snapshot |
package_manifest.json, release_manifest.json, checksums.sha256 |
Integrity records for the complete release |
tools/ |
Checksum verification, restoration, and statistics utilities |
Quality checks and limitations
- Every admitted QA passed structural validation and stored full-document model review. The exact PDF hash and all reviewed page indices are retained. GPT-5.6 document-level novelty checks are recorded where required.
- All referenced page images and source-PDF hashes are verified when each snapshot is prepared. Model reviews and automatic topic/language labels can still contain errors; they are not human gold annotations.
- This snapshot contains public research papers; the measured source and topic distributions above describe its coverage. New intake prioritizes underrepresented domains and supports PLOS and eLife journal articles alongside arXiv candidates. Books, manuals, and other document families from the original paper's pool are not represented by this release.
- Source PDFs were selected for article-level CC BY 4.0, with an explicit third-party-rights notice filter. Article-level licensing and text scanning are not exhaustive clearance of every figure. Original authors, URLs, licenses, and exceptions remain applicable. No new blanket license for synthetic QA is assigned by this intermediate release; the project's code license does not replace source-document rights.
- The held document
2609.29669v1and its 20 pilot examples are excluded. - Benchmark decontamination, comprehensive human review, and GPU training-ingestion checks remain incomplete for this public corpus. Do not transfer the original paper's completed checks or reported benchmark results to this separate dataset.
Reproduce the statistics
The profiling and annotation scripts are available on GitHub and mirrored in tools/.
python -m pip install numpy pyarrow matplotlib
python MMProLong-Data-Public/tools/profile_public_dataset.py \
--snapshot-root MMProLong-Data-Public \
--language-labels MMProLong-Data-Public/metadata/document_languages.jsonl \
--output-dir public-corpus-profile
This reproduces aggregate statistics, labels, and figures from the small metadata/QA files. To recompute language annotations from source PDFs, install pymupdf requests langid==1.1.6 and run annotate_public_document_languages.py, followed by recheck_public_document_languages.py; both expose --help. The first pass streams verified tar archives in memory, and the recheck fetches only selected PDF byte ranges. Neither retains the PDF corpus on disk.
Statistics and annotations are computed from the admitted records in each published release. Exact token counts, source hashes, and file checksums are retained with the snapshot.
Contact
Open an issue in the MMProLong GitHub repository, or contact Zhaowei Wang at zwanggy@cse.ust.hk.
Citation
If you use this public dataset, its annotations, or the synthesis methodology, please cite MMProLong and identify this separately constructed public release and its revision in your experiment description.
@inproceedings{wang2026mmprolong,
title={Training Long-Context Vision-Language Models Effectively with Generalization Beyond 128K Context},
author={Wang, Zhaowei and Luo, Lishu and Duan, Haodong and Liu, Weiwei and Wu, Sijin and Luo, Ji and Yan, Shen and Peng, Shuai and Yuan, Sihang and Huang, Chaoyi and Lin, Yi and Song, Yangqiu},
booktitle={Advances in Neural Information Processing Systems (NeurIPS 2026)},
year={2026},
url={https://arxiv.org/abs/2605.13831}
}
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