Paper Citation Record · LEDGER

Vector Space of Feynman Integrals and Multivariate Intersection Numbers

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 17 inbound Pith citation observations for arXiv:1907.02000.

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

pith.paper-citation-record.v1
1907.02000 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 17 of 17 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:12:14.355633Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T06:47:43.368451Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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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 3ed065ad-2fd5-498b-8ed5-a71f7f858806 · inbound

Integral Reduction with Kira 2.0 and Finite Field Methods cites this paper.

Integral Reduction with Kira 2.0 and Finite Field Methods Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-18T00:11:26.069970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c47b46e3-6d14-4752-a6e3-12324fa42075 · inbound

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

Feynman Integral Reduction without Integration-By-Parts Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:05:29.338252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 461a8ed6-f70a-4119-ba1e-3e13643ef595 · inbound

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

Tame multi-leg Feynman integrals beyond one loop Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.355633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a9b0017-b45a-4e89-932a-f6c99dc8c507 · inbound

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function cites this paper.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.474403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46dd05de-1752-4d56-8bd2-5db0adc5f224 · inbound

Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning cites this paper.

Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T20:15:03.799659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fcc944f-2577-4e10-bb44-ff4fa3fcf90b · inbound

Explainable AI-assisted Optimization for Feynman Integral Reduction cites this paper.

Explainable AI-assisted Optimization for Feynman Integral Reduction Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T21:11:56.319997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 504bd0e8-e7b3-4706-8a3c-ef3187ab5a92 · 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 Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T14:03:51.531905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f00e1dbd-ccac-4c24-bcc3-b2443fb2b0f6 · inbound

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

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:27.792190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a568d82-60b4-4175-b947-e69c459a5302 · inbound

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations cites this paper.

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 90

Resolution: verified exact; arxiv_id, observed 2026-05-17T21:00:15.413027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d0f7878-4f7e-4082-8ccb-dd8335f6b507 · inbound

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

Feynman integral reduction with intersection theory made simple Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:05:49.566974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b9273492-017a-45d6-82af-77b84343c3fc · inbound

Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals cites this paper.

Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 50

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T07:11:00.163466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7d5ad710-ea72-454f-8649-685771632c34 · 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 Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 93

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:10:08.926055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1638d82b-b7b4-4c4c-af2d-2d9afb330c6a · inbound

Magic Relations and Critical Varieties of Feynman Integrals cites this paper.

Magic Relations and Critical Varieties of Feynman Integrals Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:23:31.155880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ec89cc0b-80d9-4dc1-bf9e-090c89297731 · inbound

Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding cites this paper.

Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-03T06:47:43.369935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8c0111a2-ddaa-4422-bd38-2e94bc63b687 · inbound

Landau's Leviathans cites this paper.

Landau's Leviathans Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-06-30T03:04:14.551905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eae2552d-474c-49c2-8d72-1013fbd70752 · inbound

LinApart3: efficient algorithm for multivariate partial fraction decomposition with linear denominators cites this paper.

LinApart3: efficient algorithm for multivariate partial fraction decomposition with linear denominators Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:15:44.040474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 203f9bdb-a8fd-49f7-87c1-42b250579453 · inbound

New Tools in the Landau Bootstrap cites this paper.

New Tools in the Landau Bootstrap Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:38:30.075123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.