Paper Citation Record · LEDGER

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.11911.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.11911 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:09:24.481167Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact6
verified fuzzy2
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9535c4e8-c58a-4335-8369-6a9738e89466 · outbound

This paper cites Tsai, Weyl closure of a linear differential operator , Journal of Symbolic Computation 29 (2000) 747.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Tsai, Weyl closure of a linear differential operator , Journal of Symbolic Computation 29 (2000) 747

Reference 290

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.510291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8bd00e94-db2b-4044-a351-509520f52425 · outbound

This paper cites Apparent Singularities of Linear Difference Equations with Polynomial Coefficients.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Apparent Singularities of Linear Difference Equations with Polynomial Coefficients

Reference 291

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:09:26.105271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e59ec5d-4c48-42e9-8cc3-5223eaf7d83a · outbound

This paper cites Desingularization of Ore Operators.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Desingularization of Ore Operators

Reference 292

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:09:25.894177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d7efbabb-4de9-417d-9ff1-ab1d66fdcf43 · outbound

This paper cites Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients

Reference 293

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:09:25.638276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5af49834-06f2-4898-b0c3-6887fddeeb7a · outbound

This paper cites Apparent Singularities of D-finite Systems.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Apparent Singularities of D-finite Systems

Reference 294

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:09:25.383143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8bf3483e-2355-4a17-9783-2d0f94e81d4f · outbound

This paper cites Ore Polynomials in Sage.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Ore Polynomials in Sage

Reference 295

Resolution: unresolved; no resolver link, observed 2026-08-07T01:09:23.928609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 336de5a6-56e5-44d1-850e-ce2cb75d7907 · outbound

This paper cites Calabi-Yau operators of degree two.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Calabi-Yau operators of degree two

Reference 296

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:09:25.182393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ba41cbc-c5df-4592-b413-8dfd53cbc6d6 · outbound

This paper cites Candelas, X.C.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Candelas, X.C

Reference 297

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.334362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46bb426b-688c-4b6d-a932-8580ebea6a86 · outbound

This paper cites Picard-Fuchs equations and mirror maps for hypersurfaces.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Picard-Fuchs equations and mirror maps for hypersurfaces

Reference 298

Resolution: unresolved; no resolver link, observed 2026-08-07T01:09:24.105687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff9a43b2-20e1-4def-b266-ce005b902fe6 · outbound

This paper cites Calabi--Yau Operators.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Calabi--Yau Operators

Reference 299

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T01:09:24.899402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c8140398-c8ba-4fbf-985a-17ae81082698 · outbound

This paper cites Tables of Calabi--Yau equations.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Tables of Calabi--Yau equations

Reference 300

Resolution: unresolved; no resolver link, observed 2026-08-07T01:09:24.193937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4660deb-9e1c-45ed-9226-7b23b8089e91 · outbound

This paper cites Self-dualities and Galois symmetries in Feynman integrals.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Self-dualities and Galois symmetries in Feynman integrals

Reference 301

Resolution: unresolved; no resolver link, observed 2026-08-07T01:09:24.257785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4c5c5ab-25a6-48eb-869f-a80ea17d7e25 · outbound

This paper cites an unresolved cited work.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Unresolved cited work

Reference 302

Resolution: unresolved; no resolver link, observed 2026-08-07T01:09:24.324998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8a82a06-a44b-4c5c-80bc-76023529607a · outbound

This paper cites Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph

Reference 303

Resolution: unresolved; no resolver link, observed 2026-08-07T01:09:24.425770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db7f4447-0c92-4a4b-9cb4-5429b8db7a4b · outbound

This paper cites Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations.

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

Reference 304

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:09:24.609331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.