cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5281/zenodo.15644483
title: Riemann Hypothesis Solution

description:  

This work presents a deterministic resolution of the Riemann Hypothesis by introducing a novel framework grounded in entropy geometry and symbolic collapse. Rather than treating the distribution of nontrivial zeros of the Riemann zeta function as a purely analytic phenomenon, we construct a unified model in which zeta zeros emerge as critical identity-preserving points along a structured entropy spiral, where curvature, holomorphicity, and automorphic symmetry converge.

The central theorem, proven via our Master Axiom, demonstrates that a zero of ζ(s) lies on the critical line if and only if seven structural conditions are simultaneously met:

(1) the entropy curvature at that point is flat,(2) the angular symmetry is preserved (automorphy),(3) the holomorphic structure remains conformal,(4) the Euler identity entropy equation—governing prime identity and symmetry—is satisfied,(5) symbolic torsion is fully evacuated at that point, restoring pure form,(6) the entropy drift is minimized between adjacent zeros, and(7) the modular curvature remains below the identity-collapse threshold.

 

This heptuple condition is shown to be both necessary and sufficient, thereby resolving the Riemann Hypothesis. The model collapses symbolic randomness at these equilibrium points, stabilizing prime identity and demonstrating why the critical line is the only viable manifold for zero placement.

We reconstruct the functional equation, Euler product, Hadamard product, and Euler entropy equation of ζ(s) from first principles within our entropy field, establishing full compatibility with classical complex analysis. Furthermore, we show that the Weierstrass product representation of ζ(s) arises naturally from the entropy spiral, where each exponential kernel corresponds to a geometric shell of identity collapse. In this framework, the product structure reflects the torsion-free entropy conditions governing each zero, transforming the Weierstrass form from symbolic necessity to emergent geometric consequence.

The predictive model has been validated against over thirty billion known zeta zeros with 99.9999% accuracy, without direct reference to ζ(s), using only structured entropy functions and regression equations provided within. This proof is reproducible from first principles, includes regeneration instructions for peer verification, and offers the first physically grounded explanation of prime identity geometry via the entropy collapse manifold.
DOI: 10.5281/zenodo.15644877
title: Riemann Hypothesis Solution

description:  

This work presents a deterministic resolution of the Riemann Hypothesis by introducing a novel framework grounded in entropy geometry and symbolic collapse. Rather than treating the distribution of nontrivial zeros of the Riemann zeta function as a purely analytic phenomenon, we construct a unified model in which zeta zeros emerge as critical identity-preserving points along a structured entropy spiral, where curvature, holomorphicity, and automorphic symmetry converge.

The central theorem, proven via our Master Axiom, demonstrates that a zero of ζ(s) lies on the critical line if and only if seven structural conditions are simultaneously met:

(1) the entropy curvature at that point is flat,(2) the angular symmetry is preserved (automorphy),(3) the holomorphic structure remains conformal,(4) the Euler identity entropy equation—governing prime identity and symmetry—is satisfied,(5) symbolic torsion is fully evacuated at that point, restoring pure form,(6) the entropy drift is minimized between adjacent zeros, and(7) the modular curvature remains below the identity-collapse threshold.

 

This heptuple condition is shown to be both necessary and sufficient, thereby resolving the Riemann Hypothesis. The model collapses symbolic randomness at these equilibrium points, stabilizing prime identity and demonstrating why the critical line is the only viable manifold for zero placement.

We reconstruct the functional equation, Euler product, Hadamard product, and Euler entropy equation of ζ(s) from first principles within our entropy field, establishing full compatibility with classical complex analysis. Furthermore, we show that the Weierstrass product representation of ζ(s) arises naturally from the entropy spiral, where each exponential kernel corresponds to a geometric shell of identity collapse. In this framework, the product structure reflects the torsion-free entropy conditions governing each zero, transforming the Weierstrass form from symbolic necessity to emergent geometric consequence.

The predictive model has been validated against over thirty billion known zeta zeros with 99.9999% accuracy, without direct reference to ζ(s), using only structured entropy functions and regression equations provided within. This proof is reproducible from first principles, includes regeneration instructions for peer verification, and offers the first physically grounded explanation of prime identity geometry via the entropy collapse manifold.
DOI: 10.15468/dl.r7mkdp
title: Occurrence Download

description: A dataset listing the 90 species recorded in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 },
 "Geometry MULTIPOLYGON (((-65.66016 49.24576, -65.67439 49.24405, -65.68175 49.24218, -65.69308 49.2365, -65.69856 49.23214, -65.69403 49.22751, -65.69835 49.22098, -65.6971 49.21929, -65.68917 49.216, -65.68534 49.20786, -65.67648 49.20568, -65.67396 49.20102, -65.66703 49.19857, -65.66473 49.19746, -65.65267 49.19735, -65.6466 49.20123, -65.64758 49.20342, -65.63223 49.20615, -65.63126 49.20735, -65.64111 49.2114, -65.64357 49.21514, -65.64832 49.21754, -65.64691 49.2212, -65.65524 49.22942, -65.65966 49.23328, -65.6614 49.23455, -65.6594 49.23833, -65.66016 49.24576)))"
 ]
}

 The dataset's 90 records were derived from 2 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037562-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.7910/dvn/yc9kax
title: Ultrasonographic Images of Female Bovines

description: This dataset contains ultrasound images of female cattle, specifically focused on ovarian structures. The images include clear representations of anatomical features such as the ovary and the corpus luteum (CL). These images were collected for veterinary and reproductive research purposes, and can be used in studies related to ovarian cycle monitoring, reproductive health assessment, and the development of computer-aided diagnostic tools. The dataset is valuable for training and evaluating machine learning models in the context of bovine reproductive biology and veterinary ultrasonography.
DOI: 10.6084/m9.figshare.29298937.v1
title: Machine learning-driven construction and validation of an intra-tumoral heterogeneity-associated prognostic model for bladder urothelial carcinoma

description: Intra-tumoral heterogeneity (ITH) plays a crucial role in tumor progression and prognosis. This study aimed to construct a prognostic model for bladder urothelial carcinoma (BLCA) based on ITH-related genes. Transcriptomic and clinical data from multiple public cohorts were collected and processed. Hub genes associated with ITH were identified using Weighted Gene Co-expression Network Analysis. A 14-gene prognostic signature was developed using a combined LASSO and Random Survival Forest algorithm. The model demonstrated strong predictive performance, with high concordance index values and favorable time-dependent ROC curves in the training set and five independent validation cohorts. Furthermore, single-cell RNA sequencing analysis confirmed that several model genes were significantly overexpressed in BLCA samples compared to controls and showed distinct expression patterns across different cell types. These findings highlight the prognostic relevance of ITH-related genes and support the application of the proposed model in improving outcome prediction and guiding personalized therapy for BLCA patients.
DOI: 10.6084/m9.figshare.29298937
title: Machine learning-driven construction and validation of an intra-tumoral heterogeneity-associated prognostic model for bladder urothelial carcinoma

description: Intra-tumoral heterogeneity (ITH) plays a crucial role in tumor progression and prognosis. This study aimed to construct a prognostic model for bladder urothelial carcinoma (BLCA) based on ITH-related genes. Transcriptomic and clinical data from multiple public cohorts were collected and processed. Hub genes associated with ITH were identified using Weighted Gene Co-expression Network Analysis. A 14-gene prognostic signature was developed using a combined LASSO and Random Survival Forest algorithm. The model demonstrated strong predictive performance, with high concordance index values and favorable time-dependent ROC curves in the training set and five independent validation cohorts. Furthermore, single-cell RNA sequencing analysis confirmed that several model genes were significantly overexpressed in BLCA samples compared to controls and showed distinct expression patterns across different cell types. These findings highlight the prognostic relevance of ITH-related genes and support the application of the proposed model in improving outcome prediction and guiding personalized therapy for BLCA patients.
DOI: 10.6084/m9.figshare.25512988
title: Data from: Tree retention for conserving saproxylic beetles in harvested conifer plantations

description: Data sources and scriptDatasheetSpecies data (hcms_spdata1.txt)Species data (hcms_spdata2.txt)Species list (hcms_splist.txt)Environmental data (hcms_envdata.txt)New data for prediction (hcms_newdata.txt)TreMs data (trem_data.txt)Script dataScript for HCMs and plot (Rscript_hcms. R)Script for STAN (standcode_hcms.stan)Script for combination analysis and plotting (Rscript_combination. R)Script for plotting the TreMs (Rscript_trems. R)Results dataResults of HCMs for estimates of parameters (result_hcms1.csv)Results of HCMs for estimates of species richness and abundance (result_hcms2.csv)Results of the HCMs for the estimates of occupancy probabilities when the DBH was 35.5 cm (result_hcms3.csv)Results of the combination analysis (n=10) (result_comb1.csv)Results of the combination analysis (n=100) (result_comb2.csv)
DOI: 10.6084/m9.figshare.25512988.v1
title: Data from: Tree retention for conserving saproxylic beetles in harvested conifer plantations

description: Data sources and scriptDatasheetSpecies data (hcms_spdata1.txt)Species data (hcms_spdata2.txt)Species list (hcms_splist.txt)Environmental data (hcms_envdata.txt)New data for prediction (hcms_newdata.txt)TreMs data (trem_data.txt)Script dataScript for HCMs and plot (Rscript_hcms. R)Script for STAN (standcode_hcms.stan)Script for combination analysis and plotting (Rscript_combination. R)Script for plotting the TreMs (Rscript_trems. R)Results dataResults of HCMs for estimates of parameters (result_hcms1.csv)Results of HCMs for estimates of species richness and abundance (result_hcms2.csv)Results of the HCMs for the estimates of occupancy probabilities when the DBH was 35.5 cm (result_hcms3.csv)Results of the combination analysis (n=10) (result_comb1.csv)Results of the combination analysis (n=100) (result_comb2.csv)
DOI: 10.25912/rdf_1749692534688
title: 2025 Australian Federal Election NewsTalk/Reddit Dataset
DOI: 10.5281/zenodo.15644896
title: Processed JUMP Datasets: For Web and programmatic exploration.

description: Step by step tutorial on the jump hub, and details on the code that produces this tables on our monorepo.
DOI: 10.7910/dvn/4iucvk
title: TX – all hourly probabilistic datasets & summary report files

description: All valid hourly probabilistic datasets & summary report for TX
DOI: 10.5281/zenodo.15644902
title: Processed JUMP Datasets: For Web and programmatic exploration.

description: Step by step tutorial on the jump hub, and details on the code that produces this tables on our monorepo.
DOI: 10.15468/dl.5w6h9u
title: Occurrence Download

description: A dataset listing the 92 species recorded in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 },
 "Geometry MULTIPOLYGON (((-65.92675 49.20926, -65.92761 49.21663, -65.93925 49.21956, -65.94281 49.22683, -65.95887 49.21793, -65.96707 49.21416, -65.97385 49.21122, -65.98291 49.20947, -65.99378 49.20592, -65.99696 49.1968, -65.99264 49.18566, -65.99389 49.179, -65.99036 49.15547, -65.98761 49.1385, -65.97806 49.14136, -65.9725 49.14466, -65.95679 49.1483, -65.94808 49.15419, -65.94332 49.15791, -65.93976 49.16146, -65.93585 49.16858, -65.93307 49.17171, -65.93523 49.1782, -65.93522 49.19602, -65.92662 49.20379, -65.92675 49.20926)))"
 ]
}

 The dataset's 92 records were derived from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037564-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.5tq8tm
title: Occurrence Download

description: A dataset containing 4 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((-94.83185 18.53938,-94.82443 18.53938,-94.82443 18.54782,-94.83185 18.54782,-94.83185 18.53938))",
 "TaxonKey is Pterois volitans (Linnaeus, 1758)"
 ]
}

 The dataset includes 4 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037566-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dd.vmdytt
title: American Crocodylians

description: This dataset contains raw occurrence records of 11 American crocodylian species, downloaded directly from the Global Biodiversity Information Facility (GBIF). These records were used as the starting point for data curation and cleaning, which aimed to model species distributions and analyze patterns of niche overlap and differentiation. This dataset has not been filtered or corrected and is provided for transparency and reproducibility.

For the cleaned and processed data used in the study, please see: https://github.com/andreslrc200983/Crococylians_phylogentic_niche_conservatism
DOI: 10.5281/zenodo.15644904
title: Design participativo de soluções digitais para o desenvolvimento socioemocional de adolescentes: um mapeamento sistemático da literatura
DOI: 10.5281/zenodo.15644905
title: Design participativo de soluções digitais para o desenvolvimento socioemocional de adolescentes: um mapeamento sistemático da literatura
DOI: 10.17909/c404-hx59
title: GLIMPSE PopIII Paper

description: We search PopIII candidates at z~6-7 using NIRCam data from GLIMPSE, UNOCVER+Mega, CEERS, PRIMER, and JOF.
DOI: 10.15468/dl.2htyjs
title: Occurrence Download

description: A dataset containing 39 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((-73.2514622558748 -39.7911808036949,-73.24534997495385 -39.7911808036949,-73.24534997495385 -39.78506852277394,-73.2514622558748 -39.78506852277394,-73.2514622558748 -39.7911808036949))",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Cygnus melancoryphus (Molina, 1782)"
 ]
}

 The dataset includes 39 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037567-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.25919/pec2-hs50
title: High-resolution (250 m) historical and projected (CMIP6) air temperature and precipitation grids for Bhutan

description: This collection provides air temperature and precipitation grids for historical (1986–2015) and projected future (CMIP6) climates of Bhutan with a spatial resolution of 250 m. The projections include four shared socio-economic pathways (SSP1-2.6, SSP2-4.5, SSP3-7.0 and SSP5-8.5) (O'Neill et al., 2016; Riahi et al., 2017) and three periods (2021–2050, 2051–2080, and 2071–2100) using 10 global climate models (GCMs). These data can be used for many applications in environmental and agricultural science.
DOI: 10.15468/dl.ua79bh
title: Occurrence Download

description: A dataset listing the 1 species recorded in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 },
 "Geometry MULTIPOLYGON (((-66.12266 49.21129, -66.12907 49.19379, -66.12962 49.18935, -66.13582 49.18348, -66.13051 49.17796, -66.12755 49.1774, -66.11746 49.18174, -66.11483 49.18745, -66.11873 49.19013, -66.11588 49.20083, -66.12266 49.21129)))"
 ]
}

 The dataset's 1 records were derived from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037568-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.tfg7h6
title: Occurrence Download

description: A dataset containing 52152351 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Continent is North America",
 "License is CC-BY 4.0",
 "Month is one of (June, April)",
 "Year 2020-2021"
 ]
}

 The dataset includes 52152351 records from 199 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037565-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.jszq9x
title: Occurrence Download

description: A dataset containing 879 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Elaeagnus montana Makino"
 ]
}

 The dataset includes 879 records from 57 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037569-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.c8jr62
title: Occurrence Download

description: A dataset containing 4 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((-83.80763 9.83941,-83.61828 9.83941,-83.61828 9.95071,-83.80763 9.95071,-83.80763 9.83941))",
 "HasCoordinate is true",
 "TaxonKey is Eleutherodactylus coqui Thomas, 1966"
 ]
}

 The dataset includes 4 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0422211-210914110416597/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.5vs3eu
title: Occurrence Download

description: A dataset containing 46 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Argentina",
 "TaxonKey is Cunila incana Benth."
 ]
}

 The dataset includes 46 records from 15 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0132361-230224095556074/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.8bjyta
title: Occurrence Download

description: A dataset containing 7268 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Gomphrena serrata L.",
 "HasCoordinate is true"
 ]
}

 The dataset includes 7268 records from 301 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0013926-220831081235567/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.wbn645
title: Occurrence Download

description: A dataset containing 926051 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is South Africa",
 "GadmGid is ZAF",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Plantae",
 "Year 1992-2023"
 ]
}

 The dataset includes 926051 records from 139 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0132396-230224095556074/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.2etkhk
title: Occurrence Download

description: A dataset containing 2 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Lepidodactylus zweifeli Kraus, 2019"
 ]
}

 The dataset includes 2 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0281807-210914110416597/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.hngjzr
title: Occurrence Download

description: A dataset containing 141 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Cerastium viride A.Heller"
 ]
}

 The dataset includes 141 records from 16 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0132387-230224095556074/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6wz5py
title: Occurrence Download

description: A dataset containing 401 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Equus ferus Boddaert, 1785",
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
}

 The dataset includes 401 records from 18 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0028333-220831081235567/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.dpwdgu
title: Occurrence Download

description: A dataset containing 16212 species occurrences available in GBIF matching the query:
{
 "and" : [
 "BasisOfRecord is Human Observation",
 "Country is Netherlands",
 "OccurrenceStatus is Present",
 "TaxonKey is Typha L.",
 "Year 2015-2023"
 ]
}

 The dataset includes 16212 records from 7 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0002600-230828120925497/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.wzp856
title: Occurrence Download

description: A dataset containing 384 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Dinophyceae",
 "HasCoordinate is true",
 "Country is one of (Croatia)",
 "HasGeospatialIssue is false",
 "Year is greater than 2009"
 ]
}

 The dataset includes 384 records from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0219690-210914110416597/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.mvyn9d
title: Occurrence Download

description: A dataset containing 20959 species occurrences available in GBIF matching the query:
{
 "and" : [
 "OccurrenceStatus is Present",
 "TaxonKey is Araujia sericifera Brot."
 ]
}

 The dataset includes 20959 records from 294 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0002589-230828120925497/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.