Paper Citation Record · LEDGER

Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2204.12983.

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

pith.paper-citation-record.v1
2204.12983 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:54:12.187678Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T03:07:35.802352Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e49940ec-ef44-4ca6-a713-63d7204a8cdc · inbound

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections cites this paper.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 115

Resolution: unresolved; no resolver link, observed 2026-08-12T13:00:10.651526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea88cac9-7bbc-424c-abe1-69b5e3589c5b · inbound

Feynman Integral Reduction without Integration-By-Parts cites this paper.

Feynman Integral Reduction without Integration-By-Parts Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:05:29.352403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6b9e6a52-e8aa-4823-a27a-62eaa4961784 · inbound

Tame multi-leg Feynman integrals beyond one loop cites this paper.

Tame multi-leg Feynman integrals beyond one loop Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.384286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2c253d5-e28b-42a4-95c2-e2b0cdcd9a69 · inbound

High-precision numerical evaluation of Lauricella functions cites this paper.

High-precision numerical evaluation of Lauricella functions Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-09T05:22:36.484417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 478fbf31-ef24-4795-b8f5-49799e8434ac · inbound

Kira 3: integral reduction with efficient seeding and optimized equation selection cites this paper.

Kira 3: integral reduction with efficient seeding and optimized equation selection Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T14:03:51.667960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1045ae0-f675-4f97-bc97-07b6f338614a · inbound

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module cites this paper.

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:28.751283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8f13385-aad6-4366-8e2a-9e66708674c4 · inbound

Positive Integrands from Feynman Integrals in the Minkowski Regime cites this paper.

Positive Integrands from Feynman Integrals in the Minkowski Regime Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:40.618797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation def28564-5109-44f7-b145-3e7bd12f40ee · inbound

Feynman integral reduction with intersection theory made simple cites this paper.

Feynman integral reduction with intersection theory made simple Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:05:49.436125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7ca185ad-e6e9-421a-ac7e-9035aea13fc8 · inbound

Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations cites this paper.

Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 101

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:10:08.948516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1b90feba-4de8-4b8e-9e7d-9377a6c896b3 · inbound

Resonance and Differential Reduction of Feynman Integrals cites this paper.

Resonance and Differential Reduction of Feynman Integrals Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 45

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T03:07:35.803762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8a3f7cd4-4142-4c66-adf9-d8fe468c4dbc · inbound

Intersection matrices associated to geometric-ordered bases of Feynman integrals cites this paper.

Intersection matrices associated to geometric-ordered bases of Feynman integrals Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T14:54:12.187678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.