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Paper Citation Record · LEDGER

Decomposition of Feynman Integrals by Multivariate Intersection Numbers

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2008.04823.

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

pith.paper-citation-record.v1
2008.04823 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 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 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:12:14.369873Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T07:05:29.446978Z

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 bae2a196-e20a-4849-a7f2-64d1823fc828 · inbound

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

Integral Reduction with Kira 2.0 and Finite Field Methods Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-18T00:11:26.078970Z

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.

source=pdf_text observed=2026-05-18T00:11:25.832302Z digest=sha256:e75bbddfff2bfe1371a3d90f5211eec4c7f5ea9e34cad903fc161ba36efb0f25

Observation 171756c3-a4c5-4915-96c9-40307ba9480e · inbound

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

Feynman Integral Reduction without Integration-By-Parts Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-23T07:05:29.449381Z

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.

source=pdf_text observed=2026-05-23T07:04:01.563506Z digest=sha256:ffb7e9a0f2565df61d01f1251d38e6f771fc6d05b7c4931579256053cf18d86f

Observation 197f4891-816a-4b0e-8556-e0c8175d185b · inbound

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

Tame multi-leg Feynman integrals beyond one loop Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-10T23:12:14.369873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:12:14.369873Z digest=sha256:93589496d02f2af0f4c09e12f96e909d8d2f25591918c3a3af4783e0f82cb4f2

Observation 16cff37a-92bd-4b5d-90a2-bcdad5d9cdb3 · 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 Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T18:40:27.485881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:40:27.485881Z digest=sha256:a9fdf4a899d6f3fa1a3acdf80ed6681b02a4e0c59b78328f90c0a1d8cc1ba833

Observation fe1e0884-a4f1-46c1-b5fc-ccdf6130fd9f · inbound

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist cites this paper.

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-05-22T20:25:06.008966Z

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.

source=pdf_text observed=2026-05-22T20:22:04.904940Z digest=sha256:2fa1843ada0ff47a2fb3e8edb6af8f02eb934f746db7af150a2ca08a68cc3622

Observation 00ad3710-4693-49dd-949e-f599e8858161 · 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 Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T14:03:51.633252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:03:51.633252Z digest=sha256:812e2017fbbec8629951f8512a25c74166266ac9de0d7cdb70ff63e2c5447778

Observation 44def0e2-cb5d-4c9f-a1e9-88f15116c0ab · inbound

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

Feynman integral reduction with intersection theory made simple Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:05:49.474235Z

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.

source=pdf_text observed=2026-05-10T19:20:26.449693Z digest=sha256:383adef572180980eabf9b8deba27bb2c34c89b42dd6c06076c470152cf46306

Observation 4d07e34e-0804-41fb-9b60-2cd9f36d23a9 · 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 Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 99

Resolution
verified exact
arxiv_id, observed 2026-05-10T11:10:08.938793Z

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.

source=pdf_text observed=2026-05-10T11:07:48.459846Z digest=sha256:f7657d1de41c58f3aade30a229717fa1d9014163bc0462ab363263413c8449b9