cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5281/zenodo.14855124
title: Final Proof of the Goldbach Conjecture via a Differential Equation Approach

description: This document presents the finalized proof of the Goldbach Conjecture using a differential equation approach. Previous uploads provided preliminary analyses, but this version incorporates a complete mathematical verification, addressing all critical aspects of the proof.

The proof is based on defining a function G(N)G(N)G(N) that counts the number of Goldbach partitions and proving that it remains strictly positive for all even N>2N > 2N>2. The method involves:



Deriving a nonlinear differential equation governing G(N)G(N)G(N).

Numerical verification that confirms G(N)>0G(N) > 0G(N)>0 for a large range of values.

Asymptotic analysis proving that G(N)→∞G(N) \to \inftyG(N)→∞, preventing G(N)=0G(N) = 0G(N)=0 for any NNN.

Proof by contradiction, demonstrating that assuming G(N)=0G(N) = 0G(N)=0 leads to inconsistencies.

Validation of the extended number system x={0,−1,1}x = \{0, -1, 1\}x={0,−1,1} and the operation ⊙\odot⊙ (sum of squares), which arise naturally in the proof.
DOI: 10.5281/zenodo.14855125
title: Final Proof of the Goldbach Conjecture via a Differential Equation Approach

description: This document presents the finalized proof of the Goldbach Conjecture using a differential equation approach. Previous uploads provided preliminary analyses, but this version incorporates a complete mathematical verification, addressing all critical aspects of the proof.

The proof is based on defining a function G(N)G(N)G(N) that counts the number of Goldbach partitions and proving that it remains strictly positive for all even N>2N > 2N>2. The method involves:



Deriving a nonlinear differential equation governing G(N)G(N)G(N).

Numerical verification that confirms G(N)>0G(N) > 0G(N)>0 for a large range of values.

Asymptotic analysis proving that G(N)→∞G(N) \to \inftyG(N)→∞, preventing G(N)=0G(N) = 0G(N)=0 for any NNN.

Proof by contradiction, demonstrating that assuming G(N)=0G(N) = 0G(N)=0 leads to inconsistencies.

Validation of the extended number system x={0,−1,1}x = \{0, -1, 1\}x={0,−1,1} and the operation ⊙\odot⊙ (sum of squares), which arise naturally in the proof.
DOI: 10.5281/zenodo.14855136
title: tractors_oil_consumption_dataset
DOI: 10.5281/zenodo.14855137
title: tractors_oil_consumption_dataset
DOI: 10.5281/zenodo.14854872
title: Global Hourly Seamless Aerosol Optical Depth Dataset (2005) at 0.05°×0.05° Resolution

description: This dataset was producted based on MERRA-2 AOD, MODIS MAIAC AOD.
DOI: 10.5281/zenodo.14854873
title: Global Hourly Seamless Aerosol Optical Depth Dataset (2005) at 0.05°×0.05° Resolution

description: This dataset was producted based on MERRA-2 AOD, MODIS MAIAC AOD.
DOI: 10.15468/dl.84auwr
title: Occurrence Download

description: A dataset containing 43 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Acanthosepion lycidas (Gray, 1849)",
 "Geometry POLYGON((170 20, 170 50, 120 50, 120 20, 170 20))",
 "HasCoordinate is true"
 ]
}

 The dataset includes 43 records from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024851-250127130748423/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.pvhdwq
title: Occurrence Download

description: A dataset containing 10 species occurrences available in GBIF matching the query:
{"type":"and","predicates":[{"type":"in","key":"SCIENTIFIC_NAME","values":["Aeonium balsamiferum","Aeonium gomerense","Aeonium saundersii","Allium grosii","Androsace cylindrica","Androsace pyrenaica","Antirrhinum lopesianum","Aquilegia pyrenaica subsp. cazorlensis","Arenaria alfacarensis","Argyranthemum lidii","Argyranthemum sundingii","Argyranthemum winteri","Bencomia brachystachya","Bencomia exstipulata","Borderea chouardii","Bupleurum handiense","Centaurea avilae","Cheirolophus falcisectus","Cheirolophus metlesicsii","Cheirolophus santos-abreui","Cheirolophus satarataensis","Cheirolophus sventenii subsp. gracilis","Cheirolophus tagananensis","Cistus chinamadensis subsp. gomerae","Cistus chinamadensis subsp. ombriosus","Coincya rupestris","Convolvulus lopezsocasi","Convolvulus subauriculatus","Crambe arborea","Crambe laevigata","Crambe scoparia","Crambe sventenii","Crepis granatensis","Dendriopoterium pulidoi","Dracaena tamaranae","Dracocephalum austriacum","Echium gentianoides","Echium handiense","Erodium paularense","Erodium rupicola","Ferula latipinna","Genista dorycnifolia","Globularia ascani","Globularia sarcophylla","Helianthemum teneriffae","Helichrysum alucense","Helichrysum gossypinum","Hieracium texedense","Hypochoeris oligocephala","Jonopsidium savianum","Jurinea fontqueri","Kunkeliella canariensis","Kunkeliella psilotoclada","Limonium arborescens","Limonium dendroides","Limonium perezii","Limonium sventenii","Lotus callis-viridis","Micromeria leucantha","Moehringia fontqueri","Monanthes wildpretii","Petrocoptis grandiflora","Petrocoptis montsicciana","Petrocoptis pseudoviscosa","Psilotum nudum subsp. molesworthiae","Ranunculus weyleri","Rupicapnos africana subsp. decipiens","Salvia herbanica","Sarcocapnos baetica subsp. baetica","Sarcocapnos baetica subsp. integriflora","Sarcocapnos speciosa","Saxifraga vayredana","Senecio hermosae","Sideritis glauca","Sideritis marmorea","Sonchus gandogeri","Sventenia bupleuroides","Tanacetum oshanahanii","Teline nervosa","Tolpis glabrescens","Viola cazorlensis","Viola jaubertiana"],"matchCase":false},{"type":"in","key":"BASIS_OF_RECORD","values":["PRESERVED_SPECIMEN","HUMAN_OBSERVATION","OBSERVATION","LITERATURE","LIVING SPECIMEN","UNKNOWN"],"matchCase":false},{"type":"equals","key":"COUNTRY","value":"ES","matchCase":false},{"type":"greaterThanOrEquals","key":"YEAR","value":"2000","matchCase":false},{"type":"equals","key":"HAS_COORDINATE","value":"true","matchCase":false}]}

 The dataset includes 10 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024852-250127130748423/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.6084/m9.figshare.28394975
title: Minor effects of warming on soil microbial diversity, richness and community structure (data and code, Global Change Biology)

description: How warming affects soil microbial diversity, richness, and community structure on a global scale is still poorly understood. We conduct a meta-analysis of 945 observations from 100 publications by collecting relevant data.
DOI: 10.15468/dl.sxezgc
title: Occurrence Download

description: A dataset containing 37 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Sepia lycidas Gray, 1849",
 "Geometry POLYGON((170 20, 170 50, 120 50, 120 20, 170 20))",
 "HasCoordinate is true"
 ]
}

 The dataset includes 37 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024856-250127130748423/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.6084/m9.figshare.28397750
title: Binahong Morphological Data

description: This is 33 days of morphological data for the development of the Binahong medicinal plant
DOI: 10.15468/dl.aubn5s
title: Occurrence Download

description: A dataset containing 163662 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((-16.74386 27.71488,8.747 27.71488,8.747 46.47347,-16.74386 46.47347,-16.74386 27.71488))",
 "HasGeospatialIssue is false",
 "TaxonKey is Achillea millefolium L."
 ]
}

 The dataset includes 163662 records from 1594 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024835-250127130748423/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.jse84m
title: Occurrence Download

description: A dataset containing 48989 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Ursus americanus Pallas, 1780"
 ]
}

 The dataset includes 48989 records from 179 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0069487-250525065834625/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.t7s2nv
title: Occurrence Download

description: A dataset containing 292282 species occurrences available in GBIF matching the query:
{
 "DatasetKey" : [
 "is The molluscs collection (IM) of the Muséum national d'Histoire naturelle (MNHN - Paris)"
 ]
}

 The dataset includes 292282 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020399-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.t98rph
title: Occurrence Download

description: A dataset containing 698626 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is iNaturalist Research-grade Observations",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "Country is one of (Canada, Mexico, United States of America)",
 "EventDate is greater than or equal to 2024-09-23",
 "EventDate is less than or equal to 2024-10-23",
 {
 "not" : {
 "Issue" : [
 "is one of (Basis of record invalid, Coordinate reprojection failed, Coordinate reprojection suspicious, Coordinate precision invalid, Coordinate uncertainty meters invalid, Country mismatch, Country invalid, Geodetic datum invalid, Presumed swapped coordinate, Presumed negated longitude, Presumed negated latitude, Country coordinate mismatch)"
 ]
 }
 }
 ]
}

 The dataset includes 698626 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020388-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6tzud5
title: Occurrence Download

description: A dataset containing 3408 species occurrences available in GBIF matching the query:
{
 "and" : [
 "BasisOfRecord is Specimen",
 "DatasetKey is Especies silvestres de nopales mexicanos"
 ]
}

 The dataset includes 3408 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020427-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.fmfuqn
title: Occurrence Download

description: A dataset containing 116 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Congo",
 "TaxonKey is Gorilla gorilla gorilla"
 ]
}

 The dataset includes 116 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020428-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.b38dv4
title: Occurrence Download

description: A dataset containing 21 species occurrences available in GBIF matching the query:
{
 "and" : [
 "OccurrenceStatus is Present",
 "TaxonKey is Setophaga petechia dugesi"
 ]
}

 The dataset includes 21 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020429-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5519/qd.nayo2orh
title: Query on the Natural History Museum Data Portal (data.nhm.ac.uk) (548 records)
DOI: 10.15468/dl.ht9k2w
title: Occurrence Download

description: A dataset containing 21 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Central African Republic",
 "TaxonKey is Gorilla gorilla gorilla"
 ]
}

 The dataset includes 21 records from 4 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020432-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.wugsfu
title: Occurrence Download

description: A dataset containing 220 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Acropteris ciniferaria (Walker, 1866)"
 ]
}

 The dataset includes 220 records from 4 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020433-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6bty56
title: Occurrence Download

description: A dataset containing 21036 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is United States of America",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "TaxonKey is Taxodium distichum (L.) Rich."
 ]
}

 The dataset includes 21036 records from 128 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020431-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.dvnazf
title: Occurrence Download

description: A dataset containing 21 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Equatorial Guinea",
 "TaxonKey is Gorilla gorilla gorilla"
 ]
}

 The dataset includes 21 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020434-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.3ayv2d
title: Occurrence Download

description: A dataset containing 76003044 species occurrences available in GBIF matching the query:
{
 "Continent" : [
 "is Africa"
 ]
}

 The dataset includes 76003044 records from 5543 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0020410-241107131044228/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.utflqq
title: Occurrence Download

description: A dataset containing 7385505 species occurrences available in GBIF matching the query:
{
 "Country" : [
 "is Mexico"
 ]
}

 The dataset includes 7385505 records from 1289 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0003487-150831095807960/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.fmbugx
title: Occurrence Download

description: A dataset containing 2699 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is Caracterización de Fauna y Flora en ecosistemas de piedemonte, montaña y humedales en el departamento del Casanare"
 ]
}

 The dataset includes 2699 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0045249-231002084531237/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.4p2rgv
title: Occurrence Download

description: A dataset containing 2699 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is Caracterización de Fauna y Flora en ecosistemas de piedemonte, montaña y humedales en el departamento del Casanare"
 ]
}

 The dataset includes 2699 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0045248-231002084531237/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.l46jgj
title: Occurrence Download

description: A dataset containing 4 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Hordeum halophilum Griseb.",
 "Country is Chile",
 "Geometry POLYGON((-124.26 -53.07,-124.26 1.69,-22.84 1.69,-22.84 -53.07,-124.26 -53.07))",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 4 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0003487-160118175350007/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.zt8ckm
title: Occurrence Download

description: A dataset containing 1316 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is Recurso hidrobiológico de los manglares de la Zona de Uso Sostenible de la Balsa (ZUSLB) y la Zona de Recuperación de Tinajones (ZRT)"
 ]
}

 The dataset includes 1316 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0045269-231002084531237/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.nmsxlj
title: Occurrence Download

description: A dataset containing 5 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Testudinidae",
 "Country is Madagascar",
 "Year is 2000"
 ]
}

 The dataset includes 5 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0003487-160311141623029/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.hq4hrk
title: Occurrence Download

description: A dataset containing 241 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is Inventario de la comunidad ictica en humedales urbanos del municipio de Quibdó - Chocó, 2019"
 ]
}

 The dataset includes 241 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0045270-231002084531237/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.toyp55
title: Occurrence Download

description: A dataset containing 5 species occurrences available in GBIF matching the query:
{
 "DatasetKey" : [
 "is Loricifera - SMF"
 ]
}

 The dataset includes 5 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0003487-160910150852091/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.sgom2l
title: Occurrence Download

description: A dataset containing 115 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Heliconia bourgaeana Petersen"
 ]
}

 The dataset includes 115 records from 19 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0003488-150316153013904/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.enx53j
title: Occurrence Download

description: A dataset containing 240 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is Tejidos de individuos colectados en el plan de monitoreo de biodiversidad en el bloque platanillo de la empresa Amerisur y en los bloques Rumiyaco, Venados y Burdyne de la empresa Gran Tierra, Putumayo"
 ]
}

 The dataset includes 240 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0045277-231002084531237/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.69up2y
title: Occurrence Download

description: A dataset containing 13116 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Citrullus lanatus (Thunb.) Matsum. & Nakai",
 "HasCoordinate is true"
 ]
}

 The dataset includes 13116 records from 361 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0037041-231120084113126/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.25346/s6eecgix/8vqew3
title: msXL_344v_15_10.tif
DOI: 10.5281/zenodo.17238184
title: Supplementary Tables for the 4PIN SDG Network Framework Review

description: This dataset contains the structured tables underlying the manuscript’s figures and statistics. Sheets include:





Study list with bibliographic metadata,




Coding matrix across the eight methodological steps and four phases,




Tier assignments and decision notes,




Summary statistics and pivot tables used in the Results,




Crosswalks for figure generation.
DOI: 10.5281/zenodo.17238185
title: Supplementary Tables for the 4PIN SDG Network Framework Review

description: This dataset contains the structured tables underlying the manuscript’s figures and statistics. Sheets include:





Study list with bibliographic metadata,




Coding matrix across the eight methodological steps and four phases,




Tier assignments and decision notes,




Summary statistics and pivot tables used in the Results,




Crosswalks for figure generation.
DOI: 10.25346/s6eecgix/jmfzwj
title: msXL_344v_15_09.tif
DOI: 10.25346/s6eecgix/o9srpd
title: msXL_344v_15_08.tif
DOI: 10.25346/s6eecgix/4zvu0b
title: msXL_344v_15_07.tif
DOI: 10.6084/m9.figshare.29974183.v2
title: Divergences christologiques dans les néo-mouvements religieux africains du Sud-Kivu.pdf

description: Cette étude analyse deux néomouvements religieux du Sud-Kivu en République Démocratique du Congo : l’Église de Dieu des Ancêtres au Congo - CREDA et la Communauté de Réveil de Dieu des Ancêtres - CREDA
DOI: 10.15468/dl.vcv3e5
title: Occurrence Download

description: A dataset containing 11441235 species occurrences available in GBIF matching the query:
{
 "Country" : [
 "is Peru"
 ]
}

 The dataset includes 11441235 records from 2445 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033959-250920141307145/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.2gqrbw
title: Occurrence Download

description: A dataset containing 5 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Colombia",
 "TaxonKey is Sciurus granatensis meridensis Thomas, 1901"
 ]
}

 The dataset includes 5 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0189950-220831081235567/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.25549/pcra-c14-220999
title: The Magazine of the Romanian Pentecostal Church, 1973, vol. 21, no. 1-2 = Buletinul Cultului Penticostal din Romania, 1973, anul XXI, nr 1-2

description: [description english/roman)] The Magazine of the Pentecostal Church is the periodical, official publication of the Romanian Pentecostal Church during communist times. It has been published between 1953 and 1989.
DOI: 10.15468/dl.j99h3z
title: Occurrence Download

description: A dataset containing 728 species occurrences available in GBIF matching the query:
{
 "DatasetKey" : [
 "is Steller sea lion (Eumetopias jubatus) counts and haulout locations British Columbia"
 ]
}

 The dataset includes 728 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0012705-230530130749713/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.25549/pcra-c14-220997
title: The Magazine of the Romanian Pentecostal Church, 1973, vol. 21, no. 1-2 = Buletinul Cultului Penticostal din Romania, 1973, anul XXI, nr 1-2

description: [description english/roman)] The Magazine of the Pentecostal Church is the periodical, official publication of the Romanian Pentecostal Church during communist times. It has been published between 1953 and 1989.