cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5281/zenodo.18305928
title: Ruppia L. In: Marchesi E., Mailhos A. & Bonifacino J.M. (Eds.). Flora Uruguaya: Flora Vascular del Uruguay. ISSN 3121-2050, V. 1.0.

description: Citable snapshot. Includes PDF and CSV of collections. Date: January 13th, 2026 at 16:53
DOI: 10.5281/zenodo.18305929
title: Ruppia L. In: Marchesi E., Mailhos A. & Bonifacino J.M. (Eds.). Flora Uruguaya: Flora Vascular del Uruguay. ISSN 3121-2050, V. 1.0.

description: Citable snapshot. Includes PDF and CSV of collections. Date: January 13th, 2026 at 16:53
DOI: 10.15468/dl.ttepyy
title: Occurrence Download

description: A dataset containing 236 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Heracleum austriacum, Heracleum austriacum)",
 "Geometry POLYGON ((8.643 46.99, 14.1 46.92, 14.43 50.75, 8.534 50.83, 8.643 46.99))",
 "Year is greater than or equal to 2010",
 "OccurrenceStatus is Present",
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "CoordinateUncertaintyInMeters is less than or equal to 50",
 "BasisOfRecord is one of (Observation, Human Observation, Machine Observation, Material sample)"
 ]
}

 The dataset includes 236 records from 4 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000816-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5281/zenodo.18305790
title: The Aichmayr Metric: A Curvature-Regularized Schwarzschild-Type Spacetime

description: We introduce a curvature-regularized Schwarzschild-type spacetime constructed entirely within classical General Relativity.

The metric modifies the effective mass contribution through an exponential damping factor, introducing a characteristic length scale that suppresses curvature divergences at small radii while preserving the asymptotic Schwarzschild limit.

We analyze horizon structure, curvature invariants, gravitational time dilation, and radial timelike geodesics, demonstrating that all physical quantities remain finite throughout the spacetime.

An auxiliary scalar ordering field φ(t,r) is introduced as a diagnostic tool to visualize the transition between weak-field and strong-field regimes without acting as a dynamical source.

The construction avoids exotic matter, higher-order curvature corrections, or modifications of the Einstein field equations, providing a minimal and geometrically transparent realization of a regular black hole spacetime.
DOI: 10.5281/zenodo.18305789
title: The Aichmayr Metric: A Curvature-Regularized Schwarzschild-Type Spacetime

description: We introduce a curvature-regularized Schwarzschild-type spacetime constructed entirely within classical General Relativity.

The metric modifies the effective mass contribution through an exponential damping factor, introducing a characteristic length scale that suppresses curvature divergences at small radii while preserving the asymptotic Schwarzschild limit.

We analyze horizon structure, curvature invariants, gravitational time dilation, and radial timelike geodesics, demonstrating that all physical quantities remain finite throughout the spacetime.

An auxiliary scalar ordering field φ(t,r) is introduced as a diagnostic tool to visualize the transition between weak-field and strong-field regimes without acting as a dynamical source.

The construction avoids exotic matter, higher-order curvature corrections, or modifications of the Einstein field equations, providing a minimal and geometrically transparent realization of a regular black hole spacetime.
DOI: 10.15468/dl.3qpjwy
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{"type":"and","predicates":[{"type":"within","geometry":"POLYGON ((112.163 3.120173, 112.092634 3.114604, 112.024002 3.098034, 111.958797 3.070872, 111.898625 3.033786, 111.84497 2.987692, 111.799151 2.933725, 111.762298 2.873215, 111.735316 2.807654, 111.718868 2.738654, 111.713358 2.667917, 111.718919 2.597184, 111.735413 2.528197, 111.762431 2.462653, 111.799308 2.402165, 111.845134 2.348224, 111.898782 2.302155, 111.95893 2.265092, 112.024099 2.237947, 112.092684 2.221389, 112.163 2.215824, 112.233316 2.221389, 112.301901 2.237947, 112.36707 2.265092, 112.427218 2.302155, 112.480866 2.348224, 112.526692 2.402165, 112.563569 2.462653, 112.590587 2.528197, 112.607081 2.597184, 112.612642 2.667917, 112.607132 2.738654, 112.590684 2.807654, 112.563702 2.873215, 112.526849 2.933725, 112.48103 2.987692, 112.427375 3.033786, 112.367203 3.070872, 112.301998 3.098034, 112.233366 3.114604, 112.163 3.120173))"},{"type":"equals","key":"CLASS_KEY","value":"212","matchCase":false},{"type":"greaterThanOrEquals","key":"YEAR","value":"2015","matchCase":false},{"type":"not","predicate":{"type":"in","key":"BASIS_OF_RECORD","values":["MATERIAL_CITATION","MATERIAL_SAMPLE","PRESERVED_SPECIMEN"],"matchCase":false}},{"type":"lessThanOrEquals","key":"COORDINATE_UNCERTAINTY_IN_METERS","value":"10000","matchCase":false},{"type":"equals","key":"LICENSE","value":"CC BY 4.0","matchCase":false}]}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000817-260119153935675/datasets/export for details.
DOI: 10.15468/dl.xwrpq7
title: Occurrence Download

description: A dataset containing 74 species occurrences available in GBIF matching the query:
{"type":"and","predicates":[{"type":"within","geometry":"POLYGON ((-74.926 -7.731902, -74.996904 -7.737462, -75.066068 -7.754006, -75.131794 -7.781127, -75.19246699999999 -7.818159, -75.246596 -7.864194, -75.292849 -7.9181, -75.33008700000001 -7.978553, -75.35739100000001 -8.044066000000001, -75.374083 -8.113028999999999, -75.37974800000001 -8.183745, -75.374241 -8.254473000000001, -75.357691 -8.323472000000001, -75.330501 -8.389041000000001, -75.293336 -8.449562999999999, -75.247108 -8.503546, -75.192953 -8.549658000000001, -75.13220800000001 -8.58676, -75.06636899999999 -8.613936000000001, -74.997062 -8.630515000000001, -74.926 -8.636088000000001, -74.854938 -8.630515000000001, -74.785631 -8.613936000000001, -74.719792 -8.58676, -74.659047 -8.549658000000001, -74.60489200000001 -8.503546, -74.55866399999999 -8.449562999999999, -74.52149900000001 -8.389041000000001, -74.494309 -8.323472000000001, -74.47775900000001 -8.254473000000001, -74.472252 -8.183745, -74.47791700000001 -8.113028999999999, -74.494609 -8.044066000000001, -74.521913 -7.978553, -74.559151 -7.9181, -74.60540399999999 -7.864194, -74.659533 -7.818159, -74.720206 -7.781127, -74.785932 -7.754006, -74.855096 -7.737462, -74.926 -7.731902))"},{"type":"equals","key":"CLASS_KEY","value":"212","matchCase":false},{"type":"greaterThanOrEquals","key":"YEAR","value":"2015","matchCase":false},{"type":"not","predicate":{"type":"in","key":"BASIS_OF_RECORD","values":["MATERIAL_CITATION","MATERIAL_SAMPLE","PRESERVED_SPECIMEN"],"matchCase":false}},{"type":"lessThanOrEquals","key":"COORDINATE_UNCERTAINTY_IN_METERS","value":"10000","matchCase":false},{"type":"equals","key":"LICENSE","value":"CC BY 4.0","matchCase":false}]}

 The dataset includes 74 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000818-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.m4uvaf
title: Occurrence Download

description: A dataset containing 5738 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Heracleum sphondylium, Heracleum sphondylium, Heracleum sphondylium, Heracleum sphondylium, Heracleum sphondylium, Heracleum sphondylium, Heracleum sphondylium, Heracleum sphondylium rarum)",
 "Geometry POLYGON ((8.643 46.99, 14.1 46.92, 14.43 50.75, 8.534 50.83, 8.643 46.99))",
 "Year is greater than or equal to 2010",
 "OccurrenceStatus is Present",
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "CoordinateUncertaintyInMeters is less than or equal to 50",
 "BasisOfRecord is one of (Observation, Human Observation, Machine Observation, Material sample)"
 ]
}

 The dataset includes 5738 records from 10 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000819-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5281/zenodo.18305957
title: Ruppia maritima L. In: Marchesi E., Mailhos A. & Bonifacino J.M. (Eds.). Flora Uruguaya: Flora Vascular del Uruguay. ISSN 3121-2050, V. 1.0.

description: Citable snapshot. Includes PDF and CSV of collections. Date: January 13th, 2026 at 16:53
DOI: 10.5281/zenodo.18305956
title: Ruppia maritima L. In: Marchesi E., Mailhos A. & Bonifacino J.M. (Eds.). Flora Uruguaya: Flora Vascular del Uruguay. ISSN 3121-2050, V. 1.0.

description: Citable snapshot. Includes PDF and CSV of collections. Date: January 13th, 2026 at 16:53
DOI: 10.15468/dl.35dp7r
title: Occurrence Download

description: A dataset containing 12 species occurrences available in GBIF matching the query:
{"type":"and","predicates":[{"type":"within","geometry":"POLYGON ((103.506 3.131173, 103.435633 3.125604, 103.367001 3.109034, 103.301795 3.081871, 103.241623 3.044786, 103.187967 2.998692, 103.142148 2.944725, 103.105294 2.884215, 103.078312 2.818653, 103.061864 2.749654, 103.056354 2.678917, 103.061915 2.608184, 103.078409 2.539196, 103.105428 2.473652, 103.142305 2.413165, 103.188132 2.359224, 103.24178 2.313155, 103.301928 2.276092, 103.367098 2.248947, 103.435684 2.232389, 103.506 2.226824, 103.576316 2.232389, 103.644902 2.248947, 103.710072 2.276092, 103.77022 2.313155, 103.823868 2.359224, 103.869695 2.413165, 103.906572 2.473652, 103.933591 2.539196, 103.950085 2.608184, 103.955646 2.678917, 103.950136 2.749654, 103.933688 2.818653, 103.906706 2.884215, 103.869852 2.944725, 103.824033 2.998692, 103.770377 3.044786, 103.710205 3.081871, 103.644999 3.109034, 103.576367 3.125604, 103.506 3.131173))"},{"type":"equals","key":"CLASS_KEY","value":"212","matchCase":false},{"type":"greaterThanOrEquals","key":"YEAR","value":"2015","matchCase":false},{"type":"not","predicate":{"type":"in","key":"BASIS_OF_RECORD","values":["MATERIAL_CITATION","MATERIAL_SAMPLE","PRESERVED_SPECIMEN"],"matchCase":false}},{"type":"lessThanOrEquals","key":"COORDINATE_UNCERTAINTY_IN_METERS","value":"10000","matchCase":false},{"type":"equals","key":"LICENSE","value":"CC BY 4.0","matchCase":false}]}

 The dataset includes 12 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000820-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.cvscma
title: Occurrence Download

description: A dataset containing 97 species occurrences available in GBIF matching the query:
{"type":"and","predicates":[{"type":"within","geometry":"POLYGON ((-76.17100000000001 -5.669863, -76.241607 -5.675425, -76.310479 -5.691975, -76.375925 -5.719105, -76.436335 -5.75615, -76.490225 -5.802198, -76.53626800000001 -5.856119, -76.573331 -5.916586, -76.600497 -5.982112, -76.617097 -6.051086, -76.62271699999999 -6.12181, -76.617214 -6.192543, -76.60072 -6.261543, -76.573638 -6.327111, -76.53663 -6.38763, -76.490605 -6.441608, -76.436697 -6.487714, -76.376232 -6.52481, -76.31070200000001 -6.551982, -76.241724 -6.568558, -76.17100000000001 -6.574129, -76.10027599999999 -6.568558, -76.03129800000001 -6.551982, -75.965768 -6.52481, -75.905303 -6.487714, -75.851395 -6.441608, -75.80537 -6.38763, -75.768362 -6.327111, -75.74128 -6.261543, -75.72478599999999 -6.192543, -75.719283 -6.12181, -75.724903 -6.051086, -75.74150299999999 -5.982112, -75.768669 -5.916586, -75.80573200000001 -5.856119, -75.851775 -5.802198, -75.905665 -5.75615, -75.966075 -5.719105, -76.031521 -5.691975, -76.100393 -5.675425, -76.17100000000001 -5.669863))"},{"type":"equals","key":"CLASS_KEY","value":"212","matchCase":false},{"type":"greaterThanOrEquals","key":"YEAR","value":"2015","matchCase":false},{"type":"not","predicate":{"type":"in","key":"BASIS_OF_RECORD","values":["MATERIAL_CITATION","MATERIAL_SAMPLE","PRESERVED_SPECIMEN"],"matchCase":false}},{"type":"lessThanOrEquals","key":"COORDINATE_UNCERTAINTY_IN_METERS","value":"10000","matchCase":false},{"type":"equals","key":"LICENSE","value":"CC BY 4.0","matchCase":false}]}

 The dataset includes 97 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000821-260119153935675/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.31014775
title: Data for "A Versatile Optical Frontend for Multicolor Fluorescence Imaging with Miniaturized Lensless Sensors"

description: Public data repository for doi:10.48550/arXiv.2511.17860.
DOI: 10.6084/m9.figshare.31014775.v1
title: Data for "A Versatile Optical Frontend for Multicolor Fluorescence Imaging with Miniaturized Lensless Sensors"

description: Public data repository for doi:10.48550/arXiv.2511.17860.
DOI: 10.5281/zenodo.18305968
title: Ruppiaceae Horan. In: Marchesi E., Mailhos A. & Bonifacino J.M. (Eds.). Flora Uruguaya: Flora Vascular del Uruguay. ISSN 3121-2050, V. 1.0.

description: Citable snapshot. Includes PDF and CSV of collections. Date: January 13th, 2026 at 16:53
DOI: 10.5281/zenodo.18305969
title: Ruppiaceae Horan. In: Marchesi E., Mailhos A. & Bonifacino J.M. (Eds.). Flora Uruguaya: Flora Vascular del Uruguay. ISSN 3121-2050, V. 1.0.

description: Citable snapshot. Includes PDF and CSV of collections. Date: January 13th, 2026 at 16:53
DOI: 10.15468/dl.29zwxr
title: Occurrence Download

description: A dataset containing 36 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Herminium monorchis)",
 "Geometry POLYGON ((8.643 46.99, 14.1 46.92, 14.43 50.75, 8.534 50.83, 8.643 46.99))",
 "Year is greater than or equal to 2010",
 "OccurrenceStatus is Present",
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "CoordinateUncertaintyInMeters is less than or equal to 50",
 "BasisOfRecord is one of (Observation, Human Observation, Machine Observation, Material sample)"
 ]
}

 The dataset includes 36 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000822-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5281/zenodo.18305801
title: Operational Analysis: Anomalous Acquisition Footprint on Public Repository (Case Zenodo 17808674)
DOI: 10.5281/zenodo.18305800
title: Operational Analysis: Anomalous Acquisition Footprint on Public Repository (Case Zenodo 17808674)
DOI: 10.15468/dl.hk44dr
title: Occurrence Download

description: A dataset containing 1 species occurrences available in GBIF matching the query:
{"type":"and","predicates":[{"type":"within","geometry":"POLYGON ((102.783 3.152173, 102.712632 3.146604, 102.643998 3.130034, 102.578791 3.102871, 102.518618 3.065786, 102.464961 3.019691, 102.419141 2.965724, 102.382287 2.905215, 102.355304 2.839653, 102.338857 2.770653, 102.333347 2.699916, 102.338908 2.629183, 102.355402 2.560196, 102.382421 2.494652, 102.419299 2.434165, 102.465127 2.380223, 102.518776 2.334154, 102.578925 2.297092, 102.644096 2.269947, 102.712683 2.253389, 102.783 2.247824, 102.853317 2.253389, 102.921904 2.269947, 102.987075 2.297092, 103.047224 2.334154, 103.100873 2.380223, 103.146701 2.434165, 103.183579 2.494652, 103.210598 2.560196, 103.227092 2.629183, 103.232653 2.699916, 103.227143 2.770653, 103.210696 2.839653, 103.183713 2.905215, 103.146859 2.965724, 103.101039 3.019691, 103.047382 3.065786, 102.987209 3.102871, 102.922002 3.130034, 102.853368 3.146604, 102.783 3.152173))"},{"type":"equals","key":"CLASS_KEY","value":"212","matchCase":false},{"type":"greaterThanOrEquals","key":"YEAR","value":"2015","matchCase":false},{"type":"not","predicate":{"type":"in","key":"BASIS_OF_RECORD","values":["MATERIAL_CITATION","MATERIAL_SAMPLE","PRESERVED_SPECIMEN"],"matchCase":false}},{"type":"lessThanOrEquals","key":"COORDINATE_UNCERTAINTY_IN_METERS","value":"10000","matchCase":false},{"type":"equals","key":"LICENSE","value":"CC BY 4.0","matchCase":false}]}

 The dataset includes 1 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000823-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.bdeckr
title: Occurrence Download

description: A dataset containing 858 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Herniaria glabra)",
 "Geometry POLYGON ((8.643 46.99, 14.1 46.92, 14.43 50.75, 8.534 50.83, 8.643 46.99))",
 "Year is greater than or equal to 2010",
 "OccurrenceStatus is Present",
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "CoordinateUncertaintyInMeters is less than or equal to 50",
 "BasisOfRecord is one of (Observation, Human Observation, Machine Observation, Material sample)"
 ]
}

 The dataset includes 858 records from 8 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000824-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.k2nuca
title: Occurrence Download

description: A dataset containing 32 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Trimeresurus schultzei"
 ]
}

 The dataset includes 32 records from 9 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000825-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.x6dg44
title: Occurrence Download

description: A dataset containing 55700 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 "Country is one of (United States of America, Canada, Mexico)",
 "Year is greater than or equal to 1990",
 "TaxonKey is Taraxacum officinale"
 ]
}

 The dataset includes 55700 records from 238 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0000798-260119153935675/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.zczd2n
title: Occurrence Download

description: A dataset containing 3209 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Plantae",
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 "Country is Germany",
 "DecimalLongitude is greater than or equal to 7.10544903967989",
 "DecimalLongitude is less than 7.10850859286429",
 "DecimalLatitude is greater than or equal to 47.27011",
 "DecimalLatitude is less than or equal to 55.05864"
 ]
}

 The dataset includes 3209 records from 12 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0046943-251025141854904/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.2908/gov_10dd_cgd
title: Central government debt
title: Dette de l'administration centrale
title: Schuldenstand des Bundes (Zentralstaates)
DOI: 10.2908/gov_10dd_logd
title: Local government debt
title: Dette des administrations d'Etats locales
title: Schuldenstand der Gemeinden
DOI: 10.2908/gov_10dd_mggd
title: Market value of general government gross debt
title: Valeur de marché de la dette brute des administrations publiques
title: Marktwert des Bruttoschuldenstands des Staatssektors
DOI: 10.2908/gov_10dd_slgd
title: State government debt
title: Dette des administrations d'Etats fédérés
title: Schuldenstand der Länder
DOI: 10.2908/gov_10dd_ssfd
title: Social security funds debt
title: Dette des administrations de sécurité sociale
title: Schuldenstand der Sozialversicherungen
DOI: 10.5281/zenodo.17577932
title: Supplemental Material for "Astronomical Fidelity in Historical Coordinate Systems of Celestial Partitioning: Quantitative Comparison of Linear vs. non-Linear Measurements"

description: SCOPE AND FOUNDATIONAL PRINCIPLES

This volume of supplemental material provides the necessary celestial mechanics, data sets, and spherical geometry proofs underpinning the computational findings of the paper “Astronomical Fidelity […] Quantitative Comparison.” The visual evidence and comprehensive data tables are essential for the reader to verify the celestial mechanics and the calculated temporal errors of the linear methods compared to the non-linear method, specifically RGM compared to PTM/PLC.

Please note that the celestial geometry discussed herein operates exclusively within the framework of Ecliptic segments, i.e., the Zodiacal signs, which are the twelve uniform 30º divisions of Ecliptic Longitude (λ) that are fixed relative to the Vernal Equinox and, therefore, precess simultaneously with said point. This mathematical or geometric framework (rooted in Ptolemy’s Tetrabiblos) is distinct from the Zodiacal Constellations, which are the physically defined, irregular star groupings from which the ecliptic segments inherited their names. The former (signs) are uniform, geometric markers required for mathematical local horizon partitioning, whereas the latter are non-uniform bodies that have no geometric role in the calculation of cusps. Also, inasmuch as the Ecliptic constitutes the path of the sun, signs of delayed or long ascension in the northern hemisphere (from Cancer to Sagittarius, or λ 90º–270º) are the signs of rapid or short ascension in the southern hemisphere, and vice versa, the signs of rapid or long ascension in the northern hemisphere (from Capricorn to Gemini, or λ 270º–90º), are the signs of delayed or long ascension in the southern hemisphere.

Unless otherwise made explicit, all artistic illustrations were produced by the author.
DOI: 10.5281/zenodo.17657813
title: Supplemental Material for "Astronomical Fidelity in Historical Coordinate Systems of Celestial Partitioning: Quantitative Comparison of Linear vs. non-Linear Measurements"

description: SCOPE AND FOUNDATIONAL PRINCIPLES

This volume of supplemental material provides the necessary celestial mechanics, data sets, and spherical geometry proofs underpinning the computational findings of the paper “Astronomical Fidelity […] Quantitative Comparison.” The visual evidence and comprehensive data tables are essential for the reader to verify the celestial mechanics and the calculated temporal errors of the linear methods compared to the non-linear method, specifically RGM compared to PTM/PLC.

Please note that the celestial geometry discussed herein operates exclusively within the framework of Ecliptic segments, i.e., the Zodiacal signs, which are the twelve uniform 30º divisions of Ecliptic Longitude (λ) that are fixed relative to the Vernal Equinox and, therefore, precess simultaneously with said point. This mathematical or geometric framework (rooted in Ptolemy’s Tetrabiblos) is distinct from the Zodiacal Constellations, which are the physically defined, irregular star groupings from which the ecliptic segments inherited their names. The former (signs) are uniform, geometric markers required for mathematical local horizon partitioning, whereas the latter are non-uniform bodies that have no geometric role in the calculation of cusps. Also, inasmuch as the Ecliptic constitutes the path of the sun, signs of delayed or long ascension in the northern hemisphere (from Cancer to Sagittarius, or λ 90º–270º) are the signs of rapid or short ascension in the southern hemisphere, and vice versa, the signs of rapid or long ascension in the northern hemisphere (from Capricorn to Gemini, or λ 270º–90º), are the signs of delayed or long ascension in the southern hemisphere.

Unless otherwise made explicit, all artistic illustrations were produced by the author.