Paper Citation Record · LEDGER

Geometric Singularities of Feynman Integrals

As of 14 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 3 inbound Pith citation observations for arXiv:2506.05042.

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

pith.paper-citation-record.v1
2506.05042 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:34:41.735938Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:31:40.611727Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T09:47:59.301298Z

Reference resolution

29 of 29 outbound references displayed

verified exact2
verified fuzzy11
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bcf8b54d-0f6c-49fd-bc11-613bf26efb2f · outbound

This paper cites an unresolved cited work.

Geometric Singularities of Feynman Integrals Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:34:45.997706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ec1a6f2a-9c1a-4adc-bc32-188e6ba91754 · outbound

This paper cites Using (7) and eliminating the conormal variables we find the Landau singularities Z = V(p2m2 1m2 2((m2 1 + m2 2 − p2)2 − 4m2 1m2 2)).

Geometric Singularities of Feynman Integrals Using (7) and eliminating the conormal variables we find the Landau singularities Z = V(p2m2 1m2 2((m2 1 + m2 2 − p2)2 − 4m2 1m2 2))

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:46.101209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f66b9539-8373-46c7-8d01-6497def44eb1 · outbound

This paper cites Weinzierl, Feynman Integrals.

Geometric Singularities of Feynman Integrals Weinzierl, Feynman Integrals

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:39.468152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f77e77c3-5dd1-4cc7-b0f7-fe4013627f6e · outbound

This paper cites an unresolved cited work.

Geometric Singularities of Feynman Integrals Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:34:45.812209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e32e17ce-8a78-4917-b7a9-9f167956be86 · outbound

This paper cites an unresolved cited work.

Geometric Singularities of Feynman Integrals Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:34:45.572942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 12787b6e-8fb8-4bd8-bae6-f08ea7053e26 · outbound

This paper cites Nakanishi, Graph theory and Feynman integrals.

Geometric Singularities of Feynman Integrals Nakanishi, Graph theory and Feynman integrals

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:45.319180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df844bed-b80b-44d4-a017-3100de5fa7e3 · outbound

This paper cites On the periods of some Feynman integrals.

Geometric Singularities of Feynman Integrals On the periods of some Feynman integrals

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:39.833812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 254abb64-9608-49cb-bbbb-499eaafe42cc · outbound

This paper cites Pham, Singularities of integrals.

Geometric Singularities of Feynman Integrals Pham, Singularities of integrals

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:39.915733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ef9fec4-541f-473c-a196-cd73fac87f25 · outbound

This paper cites Landau Discriminants.

Geometric Singularities of Feynman Integrals Landau Discriminants

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.022749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24bd5a0f-8eeb-49c4-8ab6-8c63e1cdc530 · outbound

This paper cites Kinematic singularities of Feynman integrals and principal A-determinants.

Geometric Singularities of Feynman Integrals Kinematic singularities of Feynman integrals and principal A-determinants

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.142370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d836a7b3-150d-48e1-b207-27192fa23a8b · outbound

This paper cites Recursive Landau Analysis.

Geometric Singularities of Feynman Integrals Recursive Landau Analysis

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.241756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5759766-0d71-49a6-831e-ec523ffd29d9 · outbound

This paper cites Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals.

Geometric Singularities of Feynman Integrals Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.330341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a670476c-907c-4e7d-91c3-13bb8cc1d48c · outbound

This paper cites Landau Singularities from Whitney Stratifications.

Geometric Singularities of Feynman Integrals Landau Singularities from Whitney Stratifications

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.474642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f47ea304-eb45-428f-9e1d-e41d19f411e0 · outbound

This paper cites The Landau Bootstrap.

Geometric Singularities of Feynman Integrals The Landau Bootstrap

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.512985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c2104ae-8b42-4d44-9f30-8ef7c2a58a96 · outbound

This paper cites Correia, M.

Geometric Singularities of Feynman Integrals Correia, M

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.592460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 262f0e05-4241-46ba-a14f-14969c394ef7 · outbound

This paper cites Hypergeometric Discriminants.

Geometric Singularities of Feynman Integrals Hypergeometric Discriminants

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:40.646577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f76145c-b9a1-46d8-821c-28d087ed26b5 · outbound

This paper cites Spectral Decomposition of Euler-Mellin Integrals.

Geometric Singularities of Feynman Integrals Spectral Decomposition of Euler-Mellin Integrals

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:34:42.269218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5020eb25-c565-4a3c-b2cf-e2b9322dd48a · outbound

This paper cites Macaulay2, a software system for research in algebraic geometry.

Geometric Singularities of Feynman Integrals Macaulay2, a software system for research in algebraic geometry

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:45.081848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 77fad2cd-59e1-4f2c-8e24-af44a1464b25 · outbound

This paper cites Whitney, Tangents to an analytic variety , Ann.

Geometric Singularities of Feynman Integrals Whitney, Tangents to an analytic variety , Ann

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:44.805598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a3b6681b-2c8b-481e-a860-5340a2e35155 · outbound

This paper cites Helmer and V.

Geometric Singularities of Feynman Integrals Helmer and V

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:44.546854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 06cd6a83-668d-4117-9f8a-374c78a14086 · outbound

This paper cites Effective Whitney Stratification of Real Algebraic Varieties.

Geometric Singularities of Feynman Integrals Effective Whitney Stratification of Real Algebraic Varieties

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:34:42.041647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d5fdf5f2-1b98-4486-97ef-0bf79e6b30fe · outbound

This paper cites Teissier, Vari´ et´ es polaires.

Geometric Singularities of Feynman Integrals Teissier, Vari´ et´ es polaires

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:44.232942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 17275412-3285-48e5-abb0-5db906178be3 · outbound

This paper cites Eisenbud, Commutative algebra: with a view toward algebraic geometry, vol.

Geometric Singularities of Feynman Integrals Eisenbud, Commutative algebra: with a view toward algebraic geometry, vol

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:44.010455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7f7b8492-fc95-4bfc-bdac-23cb239b0720 · outbound

This paper cites Brian¸ con, P.

Geometric Singularities of Feynman Integrals Brian¸ con, P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:43.789301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d047b47d-749c-4ffa-aba4-3dd9fb625567 · outbound

This paper cites Kashiwara and P.

Geometric Singularities of Feynman Integrals Kashiwara and P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:43.571871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5a965e75-2f4f-408a-a0a0-7c0150fd0791 · outbound

This paper cites Kashiwara, Index theorem for a maximally overdetermined system of linear differential equations , Proc.

Geometric Singularities of Feynman Integrals Kashiwara, Index theorem for a maximally overdetermined system of linear differential equations , Proc

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:43.320187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 02e1ca21-49aa-423b-90de-e0d3b5df45a3 · outbound

This paper cites Critical points and number of master integrals.

Geometric Singularities of Feynman Integrals Critical points and number of master integrals

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:41.541688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 511ca099-97a8-4cc0-a062-ddd58dc21dcc · outbound

This paper cites an unresolved cited work.

Geometric Singularities of Feynman Integrals Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:34:43.107502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 894c6333-fb75-423c-b2d0-76f5a7f98139 · outbound

This paper cites Helmer, Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties , J.

Geometric Singularities of Feynman Integrals Helmer, Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties , J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:34:42.881852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 6b52be85-c072-42e6-bf3a-08d9f0981e57 · inbound

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

Positive Integrands from Feynman Integrals in the Minkowski Regime Geometric Singularities of Feynman Integrals

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:40.611727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97948afb-0111-49cf-a428-ed0965ac3825 · inbound

Landau's Leviathans cites this paper.

Landau's Leviathans Geometric Singularities of Feynman Integrals

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-30T03:04:14.621409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bb469d76-0fd8-4e18-830d-2a61166ae7f4 · inbound

Chebyshev Approximations of Feynman Integrals for Collider Physics cites this paper.

Chebyshev Approximations of Feynman Integrals for Collider Physics Geometric Singularities of Feynman Integrals

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-07-03T09:47:59.302548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.