cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.25384/sage.13342105
title: sj-xls-2-jop-10.1177_0269881120959614 – Supplemental material for Transcriptional regulation in the rat prefrontal cortex and hippocampus after a single administration of psilocybin

description: Supplemental material, sj-xls-2-jop-10.1177_0269881120959614 for Transcriptional regulation in the rat prefrontal cortex and hippocampus after a single administration of psilocybin by Oskar Hougaard Jefsen, Betina Elfving, Gregers Wegener and Heidi Kaastrup Müller in Journal of Psychopharmacology
DOI: 10.25384/sage.13315808.v1
title: sj-xlsx-17-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-17-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13263068.v1
title: sj-xlsx-1-ueg-10.1177_2050640620975243 - Supplemental material for Endoscopic band ligation compared to thermal therapy for gastric antral vascular ectasia: A systematic review and meta-analysis

description: Supplemental material, sj-xlsx-1-ueg-10.1177_2050640620975243 for Endoscopic band ligation compared to thermal therapy for gastric antral vascular ectasia: A systematic review and meta-analysis by Jean M Chalhoub, Jalaluddin Umar, Kevin Groudan, Nour Hamadeh, David J Desilets and Yesenia Greeff in United European Gastroenterology Journal
DOI: 10.25384/sage.13332972
title: sj-zip-1-tec-10.1177_0271121420951859 – Supplemental material for On the Meanings of Functional Play: A Review and Clarification of Definitions

description: Supplemental material, sj-zip-1-tec-10.1177_0271121420951859 for On the Meanings of Functional Play: A Review and Clarification of Definitions by Jeevita Sidhu, Natasha Barlas and Karin Lifter in Topics in Early Childhood Special Education
DOI: 10.25384/sage.13265353
title: sj-xlsx-3-qjp-10.1177_1747021820970724 – for Do primates flexibly use spatio-temporal cues when foraging?

description: sj-xlsx-3-qjp-10.1177_1747021820970724 for Do primates flexibly use spatio-temporal cues when foraging? by Cinzia Trapanese, Hélène Meunier and Shelly Masi in Quarterly Journal of Experimental Psychology
DOI: 10.25384/sage.13265353.v1
title: sj-xlsx-3-qjp-10.1177_1747021820970724 – for Do primates flexibly use spatio-temporal cues when foraging?

description: sj-xlsx-3-qjp-10.1177_1747021820970724 for Do primates flexibly use spatio-temporal cues when foraging? by Cinzia Trapanese, Hélène Meunier and Shelly Masi in Quarterly Journal of Experimental Psychology
DOI: 10.25384/sage.13347849
title: Supplemental Material, ImmuneScore_genes - The Lung Adenocarcinoma Microenvironment Mining and Its Prognostic Merit

description: Supplemental Material, ImmuneScore_genes for The Lung Adenocarcinoma Microenvironment Mining and Its Prognostic Merit by Rongchang Zhao, Dan Ding, Wenyan Yu, Chunrong Zhu and Yan Ding in Technology in Cancer Research & Treatment
DOI: 10.25384/sage.13315790
title: sj-xlsx-11-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-11-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13315793
title: sj-xlsx-12-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-12-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13315793.v1
title: sj-xlsx-12-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-12-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13315811
title: sj-xlsx-3-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-3-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13315808
title: sj-xlsx-17-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-17-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13269652
title: sj-zip-1-asp-10.1177_0003702820972382 - Supplemental material for Acquisition and Analysis of Hyperspectral Thermal Images for Sample Segregation

description: Supplemental material, sj-zip-1-asp-10.1177_0003702820972382 for Acquisition and Analysis of Hyperspectral Thermal Images for Sample Segregation by Anders Løchte Jørgensen, Jakob Kjelstrup-Hansen, Bjarke Jensen, Victor Petrunin, Sune Fuglsang Fink and Bjarke Jørgensen in Applied Spectroscopy
DOI: 10.25384/sage.13315820
title: sj-xlsx-6-aut-10.1177_1362361320971085 – Supplemental material for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways

description: Supplemental material, sj-xlsx-6-aut-10.1177_1362361320971085 for Altered DNA methylation in a severe subtype of idiopathic autism: Evidence for sex differences in affected metabolic pathways by Valerie W Hu, Yi Hong, Minyi Xu and Henry T Shu in Autism
DOI: 10.25384/sage.13269652.v1
title: sj-zip-1-asp-10.1177_0003702820972382 - Supplemental material for Acquisition and Analysis of Hyperspectral Thermal Images for Sample Segregation

description: Supplemental material, sj-zip-1-asp-10.1177_0003702820972382 for Acquisition and Analysis of Hyperspectral Thermal Images for Sample Segregation by Anders Løchte Jørgensen, Jakob Kjelstrup-Hansen, Bjarke Jensen, Victor Petrunin, Sune Fuglsang Fink and Bjarke Jørgensen in Applied Spectroscopy
DOI: 10.25384/sage.13337040
title: sj-xlsx-2-tia-10.1177_2331216520973539 - Supplemental material for Robust Data-Driven Auditory Profiling Towards Precision Audiology

description: Supplemental material, sj-xlsx-2-tia-10.1177_2331216520973539 for Robust Data-Driven Auditory Profiling Towards Precision Audiology by Raul Sanchez-Lopez, Michal Fereczkowski, Tobias Neher, Sébastien Santurette and Torsten Dau in Trends in Hearing
DOI: 10.25384/sage.13337147
title: sj-xlsx-2-jbr-10.1177_0748730420975946 – Supplemental material for Identification of Genes Contributing to a Long Circadian Period in Drosophila Melanogaster

description: Supplemental material, sj-xlsx-2-jbr-10.1177_0748730420975946 for Identification of Genes Contributing to a Long Circadian Period in Drosophila Melanogaster by Shailesh Kumar, Ilker Tunc, Terry R. Tansey, Mehdi Pirooznia and Susan T. Harbison in Journal of Biological Rhythms
DOI: 10.25384/sage.13337165
title: sj-xlsx-1-jis-10.1177_0165551520977438 – Supplemental material for Testing the validity of Wikipedia categories for subject matter labelling of open-domain corpus data

description: Supplemental material, sj-xlsx-1-jis-10.1177_0165551520977438 for Testing the validity of Wikipedia categories for subject matter labelling of open-domain corpus data by Ahmad Aghaebrahimian, Andy Stauder and Michael Ustaszewski in Journal of Information Science
DOI: 10.25384/sage.13337177.v1
title: Table S3 - Supplemental material for Preliminary Analysis of the Therapeutic Mechanism of Feiluoning in Convalescent Patients With COVID-19

description: Supplemental material, Table S3, for Preliminary Analysis of the Therapeutic Mechanism of Feiluoning in Convalescent Patients With COVID-19 by Zongchao Hong, Maolin Hong, Bo Liu, Ying Zhang, Yanfang Yang and Hezhen Wu in Natural Product Communications
DOI: 10.25384/sage.13337180.v1
title: Table S4 - Supplemental material for Preliminary Analysis of the Therapeutic Mechanism of Feiluoning in Convalescent Patients With COVID-19

description: Supplemental material, Table S4, for Preliminary Analysis of the Therapeutic Mechanism of Feiluoning in Convalescent Patients With COVID-19 by Zongchao Hong, Maolin Hong, Bo Liu, Ying Zhang, Yanfang Yang and Hezhen Wu in Natural Product Communications
DOI: 10.25384/sage.13337183
title: Table S5 - Supplemental material for Preliminary Analysis of the Therapeutic Mechanism of Feiluoning in Convalescent Patients With COVID-19

description: Supplemental material, Table S5, for Preliminary Analysis of the Therapeutic Mechanism of Feiluoning in Convalescent Patients With COVID-19 by Zongchao Hong, Maolin Hong, Bo Liu, Ying Zhang, Yanfang Yang and Hezhen Wu in Natural Product Communications
DOI: 10.25384/sage.13337200.v1
title: sj-sav-1-jop-10.1177_0269881120972424 – for Effects of lorazepam on prosaccades and saccadic adaptation

description: sj-sav-1-jop-10.1177_0269881120972424 for Effects of lorazepam on prosaccades and saccadic adaptation by Katharina Bey, Julia V Lippold, Behrem Aslan, René Hurlemann and Ulrich Ettinger in Journal of Psychopharmacology
DOI: 10.25384/sage.13352902
title: sj-dta-1-smx-10.1177_0081175020973054 for Multigenerational Social Mobility: A Demographic Approach

description: sj-dta-1-smx-10.1177_0081175020973054 for Multigenerational Social Mobility: A Demographic Approach by Xi Song in Sociological Methodology
DOI: 10.15468/dl.erzkus
title: Occurrence Download

description: A dataset containing 59771 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "SpeciesKey is Mustela erminea Linnaeus, 1758",
 "Year is greater than or equal to 2004",
 "Year is less than or equal to 2023"
 ]
}

 The dataset includes 59771 records from 478 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0106030-240626123714530/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.vk6yzf
title: Occurrence Download

description: A dataset containing 17213555 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Anas platyrhynchos",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "Geometry POLYGON ((-6.6 29.26705, -6.6 50.94, 40.81373 50.94, 40.81373 29.26705, -6.6 29.26705))",
 "BasisOfRecord is one of (Human Observation, Machine Observation, Observation, Material sample)"
 ]
}

 The dataset includes 17213555 records from 157 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011629-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5281/zenodo.16991052
title: Legitimate and malicious use cases for SPHERE cyberinfrastructure
DOI: 10.5281/zenodo.16991053
title: Legitimate and malicious use cases for SPHERE cyberinfrastructure
DOI: 10.15468/dl.um5bgg
title: Occurrence Download

description: A dataset containing 3196018 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Spatula clypeata",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "Geometry POLYGON ((-6.6 29.26705, -6.6 50.94, 40.81373 50.94, 40.81373 29.26705, -6.6 29.26705))",
 "BasisOfRecord is one of (Human Observation, Machine Observation, Observation, Material sample)"
 ]
}

 The dataset includes 3196018 records from 86 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011630-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.3535/3lk-mvc-ykd
title: Arctiinae Leach, 1815

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/h76-fn1-81g
title: Arctiinae Leach, 1815

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/4fb-d1q-5jh
title: Arctiinae Leach, 1815

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/9sa-3qn-q1a
title: Scoliopteryginae Herrich-Schäffer, 1852

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/rdc-a61-k48
title: Noctuinae

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/71r-zak-yv0
title: Arctiinae Leach, 1815

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.15468/dl.rmrkhf
title: Occurrence Download

description: A dataset containing 14 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Nothobranchius ugandensis)",
 "BasisOfRecord is one of (Specimen, Literature Occurrence, Human Observation, Observation)",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "Year is greater than or equal to 1991",
 "Year is less than or equal to 2025"
 ]
}

 The dataset includes 14 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011729-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ap4jwe
title: Occurrence Download

description: A dataset containing 15 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Bhutan",
 "HasCoordinate is true"
 ]
}

 The dataset includes 15 records from 2 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011730-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ubdrkt
title: Occurrence Download

description: A dataset containing 819 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Australia",
 "HasCoordinate is true"
 ]
}

 The dataset includes 819 records from 20 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011728-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.9wag9e
title: Occurrence Download

description: A dataset containing 784 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Brazil",
 "HasCoordinate is true"
 ]
}

 The dataset includes 784 records from 71 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011731-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6b4b5d
title: Occurrence Download

description: A dataset containing 13728 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasCoordinate is true",
 "TaxonKey is Ranunculus fluitans"
 ]
}

 The dataset includes 13728 records from 290 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011727-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.wf73jp
title: Occurrence Download

description: A dataset containing 1090 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is one of (Herbier Louis-Marie (QFA) - Collection de plantes vasculaires, Marie-Victorin Herbarium (MT) - Plantes vasculaires, E. C. Smith Herbarium (ACAD), Academy of Natural Sciences of Drexel University, Herbier du Québec (QUE) - Collection de plantes vasculaires, Brassicaceae of Canada)",
 "GadmGid is one of (CAN.11.9_1, CAN.11.42_1, CAN.11.90.1_1, CAN.11.54_1, CAN.11.9.11_1, CAN.11.90_1, CAN.11.12_1, CAN.11.54.3_1, CAN.11.29_1)",
 "Geometry POLYGON((-70.895 45.59014,-70.81334 45.60458,-70.71748 45.70047,-70.63793 45.74617,-70.57964 45.8554,-70.62347 46.04178,-70.49362 45.95362,-70.5471 45.82565,-70.38144 45.76096,-70.32099 45.9544,-70.37394 46.0229,-70.41785 46.07477,-70.45894 46.09021,-70.58447 46.1097,-70.62537 46.14361,-70.53719 46.19389,-70.4999 46.20599,-70.48627 46.25068,-70.49126 46.26519,-70.54255 46.26755,-70.61596 46.24712,-70.67483 46.1924,-70.75785 46.25619,-70.81931 46.32983,-70.94633 46.41568,-70.96147 46.38983,-70.99139 46.37235,-70.68186 46.00816,-70.67148 45.91437,-70.70131 45.86228,-70.895 45.59014))",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 "TaxonKey is Tracheophyta"
 ]
}

 The dataset includes 1090 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011732-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.3p65pw
title: Occurrence Download

description: A dataset containing 503 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Colombia",
 "HasCoordinate is true"
 ]
}

 The dataset includes 503 records from 47 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011736-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.s2h784
title: Occurrence Download

description: A dataset containing 3 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Comoros",
 "HasCoordinate is true"
 ]
}

 The dataset includes 3 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011737-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.z2s3q6
title: Occurrence Download

description: A dataset containing 44 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is China",
 "HasCoordinate is true"
 ]
}

 The dataset includes 44 records from 10 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011735-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.3535/1rm-kfq-7j5
title: Odites Walsingham, 1891

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/ed2-ldg-ysr
title: Lecithoceridae Le Marchand, 1947

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/g3t-es8-e90
title: Oecophoridae Bruand, 1851

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/r4j-8jy-yh0
title: Zygaenidae

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/r96-p87-dz0
title: Lecithoceridae Le Marchand, 1947

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.3535/6vj-5cq-vvm
title: Noctuidae

description: Digital Specimen for the physical specimen hosted at Naturalis Biodiversity Center.
DOI: 10.15468/dl.qaak55
title: Occurrence Download

description: A dataset containing 32 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is El Salvador",
 "HasCoordinate is true"
 ]
}

 The dataset includes 32 records from 7 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011740-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.buspmd
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Micronesia (Federated States of)",
 "HasCoordinate is true"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011741-250827131500795/datasets/export for details.
DOI: 10.15468/dl.3esxqw
title: Occurrence Download

description: A dataset containing 3 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Axonopus compressus",
 "Country is Cook Islands",
 "HasCoordinate is true"
 ]
}

 The dataset includes 3 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0011739-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.7910/dvn/ouf5oz
title: PCM-AE - Protótipo de Sensor Têxtil

description: Desenvolvimento de protótipo de controlador OSC sem fios com sensores têxtis para utilização em produções cénico-musicais.
DOI: 10.5281/zenodo.16994757
title: Existence and Positive Mass Gap for Four-Dimensional Yang–Mills via OS-Constructive Methods and Gauge-Covariant Recursive Operators

description: This work presents a rigorous, non-perturbative proof of the Yang–Mills Existence and Mass Gap problem, one of the Clay Mathematics Institute’s Millennium Prize Problems. Using a constructive Osterwalder–Schrader framework, gauge-covariant recursive operators, and explicit cluster-expansion bounds, the paper demonstrates:

 



The existence of a mathematically well-defined four-dimensional quantum Yang–Mills theory for compact simple gauge groups.

Verification of the Osterwalder–Schrader axioms, followed by reconstruction to a Wightman QFT with a self-adjoint Hamiltonian.

Exponential decay of gauge-invariant two-point correlation functions, establishing a strictly positive spectral gap above the vacuum.


 

 

The approach unifies heat-kernel regularization, fixed-point recursion, and BRST-invariant gauge control into a constructive continuum theory. The result provides both the existence of Yang–Mills in four dimensions and a positive lower bound on the mass spectrum, satisfying the Clay Institute’s stated requirements.

This paper offers a full mathematical proof that the quantum fields underlying the strong nuclear force are stable and have a minimum ‘mass gap’—a result foundational to particle physics and essential for potential applications like warp field engineering and biological energy stabilization.