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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
messages: list<item: struct<role: string, content: string>>
  child 0, item: struct<role: string, content: string>
      child 0, role: string
      child 1, content: string
dfm8_transform_expansion: bool
dfm8_transform_family: string
dfm8_transform_source_file: string
to
{'messages': List({'role': Value('string'), 'content': Value('string')})}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              messages: list<item: struct<role: string, content: string>>
                child 0, item: struct<role: string, content: string>
                    child 0, role: string
                    child 1, content: string
              dfm8_transform_expansion: bool
              dfm8_transform_family: string
              dfm8_transform_source_file: string
              to
              {'messages': List({'role': Value('string'), 'content': Value('string')})}
              because column names don't match
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1869, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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messages
list
[ { "role": "user", "content": "Restore the text by filling in the missing parts. A fully differential calculation in perturbative quantum chromodynamics is presented for the production of massive photon pairs at <mask_4> colliders. All next-to-leading order perturbative contributions from quark-antiquark, gl...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We describe a new algorithm, the $(k,\\ell)$-pebble game with colors, and <mask_1> of $(k,\\ell)$-sparse graphs and algorithmic solutions to a family of problems concerning tree decompositions of graphs. Special instances of spa...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The evolution <mask_5> <mask_4> dark matter field fluid model proposed in the Meeting of Division of Particle and Field 2004, American Physical Society. The current behavior of the Earth-Moon system agrees with this model very w...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We show that a <mask_1> of Stirling cycle <mask_4> <mask_2> unlabeled acyclic single-source automata. The proof involves a bijection from these automata to certain marked lattice <mask_5> <mask_3> the determinant." }, { ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this paper we show how to compute the $\\Lambda_{\\alpha}$ norm, $\\alpha\\ge 0$, using the dyadic grid. This result <mask_2> of the description of the Hardy spaces $H^p(R^N)$ <mask_1> dyadic and special atoms." }, { ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We study the two-particle wave function of paired atoms in a Fermi gas with tunable interaction strengths controlled by Feshbach resonance. The Cooper pair wave function is examined for its bosonic characters, which is quantifie...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. A rather non-standard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation has gained some attention in recent years, due to its possible relation with P...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. A general formulation was developed to represent material models for applications in dynamic loading. Numerical methods were devised to calculate response to shock and ramp compression, and ramp decompression, generalizing previ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We discuss the results from the combined IRAC and MIPS c2d Spitzer Legacy observations of the Serpens star-forming region. In particular we present a set of criteria for isolating bona fide young stellar <mask_9> YSO's, from the...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of <mask_2> an important role in the <mask_3> cubes. These structures are employed in the paper to characterize bipartite graphs <mask_1...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative examples using <mask_3> examples, we identify <...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Recently, Bruinier and <mask_1> cusp forms $f(z) := \\sum_{n=0}^{\\infty} a_f(n)q ^n \\in S_{\\lambda+1/2}(\\Gamma_0(N),\\chi)\\cap \\mathbb{Z}[[q]]$ that does not satisfy a certain distribution property for modulo odd primes $p...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend the result of <mask_1> modular forms of half integral weight on $\\Gamma_{0}(4...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this article we discuss a relation between the string topology and differential forms based on the theory of <mask_2> <mask_1> the cyclic bar complex." }, { "role": "assistant", "content": "In this article we disc...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals in pure spinor superspace. This paper explores different methods to evaluate these integra...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In <mask_1> we evaluate the lifetimes of the doubly charmed baryons $\\Xi_{cc}^{+}$, $\\Xi_{cc}^{++}$ and $\\Omega_{cc}^{+}$. We carefully calculate the non-spectator contributions at the quark level where the Cabibbo-suppressed...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Results from spectroscopic <mask_7> in quiescence during 1991 and 2001 are presented. Spin-modulated radial velocities consistent with an outer disc origin were detected for the <mask_6> an IP. The spin <mask_1> These velocities...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We give a prescription for how to compute the Callias <mask_1> as regulator an exponential function. We find agreement with old results in all odd dimensions. We show that the <mask_3> the moduli space of self-dual strings can b...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this note we give a new <mask_1> the extinction probability of the one-dimensional contact process by using the Gr\\\"obner basis." }, { "role": "assistant", "content": "In this note we give a new method for getti...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The shape of the hadronic form factor f+(q2) in <mask_5> D0 <mask_1> nue has been measured in a model independent analysis and compared with theoretical calculations. We use 75 fb(-1) of data recorded by the BABAR detector at th...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations <mask_3> simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex wave patt...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We present Lie group integrators for nonlinear <mask_6> non-commutative vector fields <mask_2> finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow o...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The very nature of the solar chromosphere, its structuring and dynamics, remains far from being properly understood, in spite of intensive research. Here we point out the <mask_8> <mask_1> wavelengths <mask_6> with a sophisticat...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The formation of quasi-2D spin-wave waveforms in longitudinally magnetized stripes of ferrimagnetic film was <mask_5> and space-resolved Brillouin light scattering technique. In the linear regime it was found that the confinemen...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_1> advances in understanding of the ground and excited states of the electron-phonon coupled systems <mask_3> <mask_2> Optimization, which enable the approximation-free calculation of Matsubara Green function in imaginary ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex <mask_1> of <mask_2> as <mask_4> approaches infinite, fractals -- and thereby,scale-free networks. Any integer greater than 8 and not a ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We describe a <mask_3> structure acquired by <mask_2> optical phonon at the Gamma-point in graphene when it <mask_1> the inter-Landau-level transitions in this material. The effect is most pronounced when this lattice mode (asso...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We prove pfaffian and hafnian versions of <mask_1> of positive semi-definite matrices. We use the hafnian inequality to improve the lower bound of R\\'ev\\'esz and Sarantopoulos on the norm of a product of linear functionals on ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In $\\XQM$, <mask_4> flavor symmetry breaking in the Goldstone boson <mask_3> to intepret the nucleon flavor-spin structure. In this paper, we study the inner structure of constituent quarks implied in $\\XQM$ caused by the Gold...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations an...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We show that crystal can trap a broad (x, x', y, y', E) distribution of particles <mask_3> it preserved <mask_2> be steered by a bent crystal for analysis downstream. In simulations for the 7 TeV Large Hadron Collider, a crystal...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We analyze the possibility of probing non-standard neutrino interactions (NSI, for short) through the detection of neutrinos produced in a future galactic supernova (SN).We consider the effect <mask_5> on the neutrino propagatio...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We performed a rigorous theoretical convergence analysis of the discrete dipole approximation (DDA). We prove that errors in any measured quantity are bounded by a <mask_1> the size of a <mask_3> the range of DDA applicability. ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. This is a supplement to <mask_1> text of correspondence sent to Nature in 1990." }, { "role": "assistant", "content": "This is a supplement to the paper arXiv:q-bio/0701050, containing the text of correspondence sent...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We <mask_2> that allows <mask_1> dipole approximation computations. The performance of this <mask_3> on extensive simulations for 5 test cases using many different discretizations. The quality of the extrapolation improves with ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this manuscript <mask_1> of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available DDA comput...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in <mask_4> developments, taking the viewpoint of a genera...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The quadratic pion scalar radius, \\la <mask_4> role for present precise determinations of \\pi\\pi scattering. Recently, Yndur\\'ain, using an Omn\\`es representation <mask_6> factor, obtains \\la r^2\\ra^\\pi_s=0.75\\pm 0.07 f...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. As in the cases of freeness and monotonic independence, the notion of conditional freeness is <mask_2> <mask_1> are replaced by positive conditional expectations. <mask_3> the paper presents several positivity results, a version...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We formulate a quantum generalization of <mask_5> Riemannian <mask_2> a compact Riemannian manifold, by introducing a natural notion of smooth and isometric action by a compact quantum group on a classical or noncommutative mani...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. It is outlined the possibility to extend the quantum formalism in relation to the requirements of <mask_6> can be done by using a <mask_3> from the deep logical structure of quantum theory. It is so possible <mask_2> account the...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We <mask_11> <mask_10> wind, interstellar medium, galaxy clusters, accretion disks). The key assumptions are that the turbulence is anisotropic with <mask_9> field and frequencies are low compared to the ion cyclotron frequency....
[ { "role": "user", "content": "Restore the text by filling in the missing parts. This paper considers the propagation of shallow-water solitary and nonlinear periodic waves over a gradual slope with bottom friction in the framework of a variable-coefficient Korteweg-de Vries equation. We use the Whitham aver...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that <mask_1> the entropy of certain mixtures is the relative entropy as system size goes to infinity. The conjecture is proven in this p...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The intelligent acoustic emission <mask_8> in Part I, while Part II <mask_2> delay estimation and location of two simultaneously active continuous acoustic emission sources. The location of acoustic emission on complicated aircr...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We report on the analysis of selected single source data sets from the first round of the Mock LISA Data Challenges (MLDC) for white dwarf binaries. We implemented an end-to-end pipeline consisting of a grid-based coherent pre-p...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We present <mask_2> list of smooth Fano d-polytopes for any given d. The input of the algorithm is a <mask_3> <mask_1> integer d. The algorithm has been used to classify smooth Fano d-polytopes for d<=7. There are 7622 isomorphi...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_6> locator, while Part II <mask_7> delay estimation and location of two continuous acoustic emission sources. Acoustic emission (AE) analysis is used for characterization and location of developing defects <mask_1> materia...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. A <mask_1> quantum information is described, allowing a direct visualization of teleportation of quantum states and providing <mask_3> and intuitive understanding of this fascinating phenomenon. The discussion is aimed at provid...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We study space-time symmetries in scalar quantum field theory (including interacting theories) on static space-times. We first consider Euclidean <mask_1> field theory on a static Riemannian manifold, and show that the isometry ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The aim of the present paper is <mask_7> the theory of special Finsler <mask_1> (or intrinsically, free from local coordinates) many of the most important and most <mask_4> special Finsler manifolds: locally Minkowskian, Berwald...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this paper we consider the Hardy-Lorentz spaces $H^{p,q}(R^n)$, with $0<p\\le 1$, $0<q\\le \\infty$. We <mask_1> elements in these spaces, their interpolation properties, and the behavior of singular integrals and other opera...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Potassium intercalation in graphite is investigated by first-principles theory. The bonding in the potassium-graphite compound is reasonably well accounted for by traditional semilocal density functional theory (DFT) calculation...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We study a simple model of a nematic liquid crystal made of parallel ellipsoidal particles interacting via a repulsive Gaussian law. After identifying the relevant solid phases of <mask_1> careful zero-temperature scrutiny of as...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We study the interplay of crystal field splitting and <mask_4> <mask_2> essential physics of systems with two electrons or holes in the e_g shell. We use single site dynamical mean field theory with a recently developed impurity...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. I shall present <mask_6> <mask_5> <mask_4> in the universe. First, I shall summarize the consensus opinion of the founders of the Modern Synthesis (Simpson, Dobzhanski, and Mayr) that the evolution of intelligent life is exceedi...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We derive masses and radii for both components in the single-lined eclipsing binary HAT-TR-205-013, which consists <mask_8> late M-dwarf secondary. The system's period is short, $P=2.230736 \\pm 0.000010$ days, with an orbit ind...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We investigate the Coulomb excitation of low-lying states of unstable nuclei in intermediate <mask_1> shown that the cross sections <mask_2> transitions are larger at lower energies, much less than 10 MeV/nucleon. Retardation ef...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Intersection bodies represent a remarkable class <mask_4> associated with sections of star <mask_6> generalized cosine transforms, and the relevant Fourier analysis. The main focus of this article is interrelation between genera...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this paper, we introduce the on-line Viterbi algorithm for <mask_8> Markov models <mask_7> in much smaller than linear space. Our analysis on <mask_3> HMMs suggests that the expected <mask_6> of length $n$ with $m$-state HMM ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Neutrinoless double beta decay is one of the most <mask_1> particle physics to take us into a regime of physics beyond the standard model. This article is a brief review of the experiments in search of neutrinoless double beta d...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We capture the off-shell <mask_3> <mask_1> (BRST) and anti-BRST symmetry invariance of <mask_6> 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the <mask_4> <mask_7> In particular, we provide the geometrical inter...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We introduce a family of rings of symmetric functions depending on <mask_8> parameters. A distinguished basis of such a ring is comprised by analogues of the Schur functions. The corresponding structure coefficients <mask_9> the...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Possible (algebraic) commutation relations in the Lagrangian quantum theory of free (scalar, spinor and vector) fields are considered from mathematical view-point. As sources of these relations are employed the Heisenberg equati...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Epitaxial self-assembled quantum dots <mask_7> of interest for nanostructured optoelectronic and electronic devices such as lasers, photodetectors and <mask_2> order and size order of SAQDs are important <mask_3> It is likely th...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In the article [Petojevic 2006], A. Petojevi\\' c verified useful properties of the $K_{i}(z)$ functions which generalize Kurepa's <mask_1> factorial function. <mask_2> of two of these results and we answer the open question sta...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_4> this paper is to construct invariant <mask_9> a (not <mask_1> map of a compact manifold. We prove a result that takes advantage of differences in rates of expansion in the terms of <mask_3> cohomological long exact sequ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The <mask_2> rings with two electrons has been studied and has been explained in an analytical way, the evolution of the period and amplitudes against <mask_1> exactly described. Furthermore, the dipole transition of the ground ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. No abstract <mask_1> of languages from World Atlas of Language Structures." }, { "role": "assistant", "content": "No abstract given; compares pairs of languages from World Atlas of Language Structures." } ]
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In present <mask_6> seemingly new method for finding solutions of some types of nonlinear <mask_4> form. The method is based on decomposition of nonlinear operators on sequence of operators of lower orders. It is shown that deco...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We treat Koll\\'ar's injectivity theorem from the analytic (or differential geometric) <mask_3> More precisely, we give a curvature condition which <mask_4> cohomology injectivity theorems. Our main theorem is formulated for a c...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_5> paper is an exposition of the so-called injective Morita contexts (in which the connecting bimodule morphisms are injective) and Morita $\\alpha$contexts (in which the <mask_4> projectivity in the sense of Zimmermann-Hu...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. There has been important experimental progress in the sector of heavy baryons in the past <mask_3> of the S-wave, P-wave, D-wave and radially excited charmed baryons using the $^3P_0$ model. After comparing the calculated <mask_...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Precision <mask_1> CP violation are discussed, pointing out possible signatures for other sources of CP violation and for new flavor-changing operators. The current status of the most accurate tests is summarized." }, { ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The Dark Energy problem is forcing us to re-examine our models and our understanding of relativity and space-time. Here a novel idea of Fundamental Forces is introduced. This allows us to perceive the <mask_2> from a new pesrpec...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We present a critical review about the study <mask_2> of matched spacetimes including gauge problems. We analyse the freedom introduced <mask_1> of background symmetries and revisit the particular case of spherically symmetry in...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We define nonselfadjoint operator algebras with generators $L_{e_1},..., L_{e_n}, L_{f_1},...,L_{f_m}$ subject to the unitary commutation relations of <mask_2> <mask_3> <mask_1> where $u= (u_{i,j,k,l})$ is an $nm \\times nm$ uni...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We show that the globular cluster mass function (GCMF) in the Milky Way depends on cluster half-mass density (rho_h) in the sense that the turnover mass M_TO increases with rho_h while the width of the GCMF decreases. We argue t...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We discussed quantum deformations of D=4 Lorentz and Poincare <mask_2> is shown that almost all classical r-matrices of S. Zakrzewski classification correspond to <mask_1> Jordanian types. A part of twists corresponding to the r...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We investigate dynamical properties of bright solitons with a finite background in the F=1 spinor Bose-Einstein condensate (BEC), based on an integrable spinor <mask_1> Schr\\\"{o}dinger equation with a self-focusing nonlinealit...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The path integral over Euclidean geometries for the recently suggested density matrix of the Universe is shown to describe a microcanonical ensemble in quantum cosmology. This ensemble corresponds <mask_3> a uniform (weight one)...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We employ granular hydrodynamics to investigate <mask_5> particles in a freely cooling dilute granular gas. We consider large-scale hydrodynamic motions where the viscosity and heat conduction can be neglected, and one arrives a...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We discuss a universality property of any <mask_2> pp-wave backgrounds. According to this property the space-time lagrangian density evaluated on a restricted set of <mask_6> to be same around all the pp-waves, even off-shell, w...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We give a quantitative <mask_4> of clustering in a stochastic model of one-dimensional gas. At <mask_2> of $n$ identical particles that are randomly distributed on the real line and have zero initial speeds. Particles begin to m...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Our main result in this paper is the following: Given $H^m, H^n$ hyperbolic <mask_1> and given a Holder function $f=(s^1,...,f^{n-1}):\\partial <mask_2> and $H^n$. Then for each $\\epsilon >0$ there exists a harmonic map $u:H^m\...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The results of the spectral, energetical and temporal characteristics of radiation in the presence of the photonic flame effect are presented. Artificial opal posed on Cu plate <mask_5> liquid nitrogen boiling point (77 K) being...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_4> on the probability density function of measured variables. It is expressed by experimental data via a kernel estimator. The kernel is determined objectively by the scattering of data during calibration of experimental s...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Real Options for Project Schedules (ROPS) has three <mask_2> Adaptive Simulated Annealing (ASA) optimization shell optimizes parameters <mask_1> containing ordered Tasks. A middle shell samples probability distributions of durat...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We combine classical methods of combinatorial group theory with the theory of small cancellations over relatively hyperbolic groups to <mask_2> finitely many classes of conjugate elements. Moreover, we present several results co...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_1> proposed formulation of overlap fermions at finite <mask_2> the energy density as a function of the chemical potential and the temperature. It is shown that overlap fermions with chemical potential reproduce the correct...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Lattice contribution to the electronic self-energy in complex correlated oxides is a fascinating subject that has lately stimulated lively discussions. Expectations of electron-phonon self-energy effects for simpler materials, s...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We present semi-analytical constraint on the amount of dark matter in the merging bullet galaxy cluster <mask_3> We consider particle orbits in potential models which fit the lensing data. {\\it Marginally consistent} CDM models...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. We get asymptotics for the volume of large balls in an arbitrary locally compact group G with polynomial growth. This is done via a study of the geometry <mask_4> <mask_1> Pansu's thesis. In particular, we show that any such G i...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this note we present three representations of a 248-dimensional Lie algebra, namely the algebra <mask_2> admitted by a system of five trivial ordinary differential equations each of order forty-four, that admitted by a system...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. <mask_2> review recent progress in operator algebraic approach to conformal quantum field theory. Our emphasis is on use of representation theory in classification theory. This is based on a <mask_3> <mask_1> R. Longo." }, {...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. Sparse Code Division <mask_2> (CDMA), a variation on <mask_1> spreading (signature) matrix contains only a relatively small number of non-zero elements, is presented and analysed using <mask_3> provides results on the performanc...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. For positive semidefinite matrices $A$ and $B$, Ando and Zhan proved the inequalities $||| f(A)+f(B) ||| \\ge ||| f(A+B) |||$ and $||| g(A)+g(B) ||| \\le ||| g(A+B) |||$, for <mask_6> operator monotone $f$ on $[0,\\infty)$ with ...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. The topological structure of the event horizon has been investigated in terms of the Morse theory. The elementary process of topological evolution can be understood as a handle attachment. It has been found that <mask_4> constra...
[ { "role": "user", "content": "Restore the text by filling in the missing parts. In this contribution we go through the developments that in the years <mask_2> <mask_1> the Veneziano model to the bosonic string." }, { "role": "assistant", "content": "In this contribution we go through the develop...
End of preview.

common-pile-span-filling

Chat-template-ready English span filling examples derived from selected Common Pile components. This upload contains only judge-accepted rows from a larger generated Common Pile export.

Contents

  • Format: gzip-compressed JSON Lines under data/*.jsonl.gz
  • Schema: {"messages": [{"role": "user", "content": "..."}, {"role": "assistant", "content": "..."}]}
  • Files: 7
  • Rows: 253,715
  • Task: English span filling

Sources

Accepted rows by source family:

Source family Accepted rows
common-pile/arxiv_abstracts_filtered 79,655
common-pile/arxiv_papers_filtered 174,060

Effective source files:

Source file Accepted rows
common-pile/arxiv_abstracts_filtered/arxiv-abstracts-dolma-0000.parquet 39,765
common-pile/arxiv_abstracts_filtered/arxiv-abstracts-dolma-0001.parquet 39,890
common-pile/arxiv_papers_filtered/arxiv-papers-0000.parquet 35,780
common-pile/arxiv_papers_filtered/arxiv-papers-0001.parquet 35,038
common-pile/arxiv_papers_filtered/arxiv-papers-0002.parquet 34,776
common-pile/arxiv_papers_filtered/arxiv-papers-0003.parquet 34,577
common-pile/arxiv_papers_filtered/arxiv-papers-0004.parquet 33,889

Example

{
  "messages": [
    {
      "role": "user",
      "content": "Restore the text by filling in the missing parts. We describe a new algorithm, the $(k,\\ell)$-pebble game with colors, and <mask_1> of $(k,\\ell)$-sparse graphs and algorithmic solutions to a family of problems concerning tree decompositions of graphs. Special instances of sparse graphs appear in rigidity theory and have received increased attention in recent years. In particular, our colored pebbles generalize and strengthen the previous results of Lee and Streinu and <mask_4> <mask_3> Tutte-Nash-Williams characterization of arboricity. <mask_2> that certifies sparsity based on the $(k,\\ell)$-pebble game with colors. Our work also exposes connections between pebble game algorithms and previous sparse graph algorithms by Gabow, Gabow and Westermann and Hendrickson."
    },
    {
      "role": "assistant",
      "content": "We describe a new algorithm, the $(k,\\ell)$-pebble game with colors, and use it obtain a characterization of the family of $(k,\\ell)$-sparse graphs and algorithmic solutions to a family of problems concerning tree decompositions of graphs. Special instances of sparse graphs appear in rigidity theory and have received increased attention in recent years. In particular, our colored pebbles generalize and strengthen the previous results of Lee and Streinu and give a new proof of the Tutte-Nash-Williams characterization of arboricity. We also present a new decomposition that certifies sparsity based on the $(k,\\ell)$-pebble game with colors. Our work also exposes connections between pebble game algorithms and previous sparse graph algorithms by Gabow, Gabow and Westermann and Hendrickson."
    }
  ]
}

Filtering

Rows were judged with google/gemma-4-31B-it.

Outcome Rows
Audited 279,201
Accepted/uploaded 253,715
Rejected 25,486

Main rejection reasons: url-or-reference-dump, incoherent-or-ocr, response-mismatch, low-value-trivial. Machine-readable counts are in audit_summary.json.

The larger generated export had 57,130,149 rows; this upload keeps only rows with an explicit accepted audit decision.

Recreate

recreate_dataset.py can regenerate a similar dataset from local Parquet files:

python recreate_dataset.py \
  --input-root /path/to/source-parquet-root \
  --output-root data

The script also includes audit and filter subcommands for rerunning the judge/filter workflow with an OpenAI-compatible endpoint.

Downloads last month
1,203