Paper Citation Record · LEDGER

Positive Geometry of Polytopes and Polypols

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2506.05510.

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

pith.paper-citation-record.v1
2506.05510 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:26:35.380050Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:44:51.727801Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy7
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 84f9145f-3ffd-41ee-8f3a-0b6f1fdb4fb3 · outbound

This paper cites Arkani-Hamed, Y.

Positive Geometry of Polytopes and Polypols Arkani-Hamed, Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:37.861981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d4730f06-d7a6-443b-a3de-2a6ef2537929 · outbound

This paper cites Arkani-Hamed, Y.

Positive Geometry of Polytopes and Polypols Arkani-Hamed, Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:37.690463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bb116eed-0d17-409c-ab83-6f6fe34eb914 · outbound

This paper cites Cosmological Polytopes and the Wavefunction of the Universe.

Positive Geometry of Polytopes and Polypols Cosmological Polytopes and the Wavefunction of the Universe

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:33.698507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 860d7b35-a0f4-4cf9-a804-d7016a63fa65 · outbound

This paper cites Arkani-Hamed, C.

Positive Geometry of Polytopes and Polypols Arkani-Hamed, C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:33.847839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ba6b667-f731-4419-b0fe-151910dd4821 · outbound

This paper cites All Loop Scattering As A Counting Problem.

Positive Geometry of Polytopes and Polypols All Loop Scattering As A Counting Problem

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:33.899081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbeb4d59-0fbe-4e35-b614-b15ba7e08463 · outbound

This paper cites All Loop Scattering For All Multiplicity.

Positive Geometry of Polytopes and Polypols All Loop Scattering For All Multiplicity

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:34.005058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1be7a9d0-fb7e-43b8-a4fb-e95d9127a61d · outbound

This paper cites Arkani-Hamed and J.

Positive Geometry of Polytopes and Polypols Arkani-Hamed and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:37.530314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9485fcf7-6df8-4fa9-b953-5d3cbc172b1e · outbound

This paper cites Brauner, C.

Positive Geometry of Polytopes and Polypols Brauner, C

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:34.168312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72669772-3700-4365-a6b9-bf1ad306cf8c · outbound

This paper cites Positive geometries and canonical forms via mixed Hodge theory.

Positive Geometry of Polytopes and Polypols Positive geometries and canonical forms via mixed Hodge theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:34.227151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61c6aa19-39b3-45ad-8750-a605b693a184 · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:37.354730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 81e280be-40ad-4c1f-8957-8b6f5438d1a3 · outbound

This paper cites Early, A.

Positive Geometry of Polytopes and Polypols Early, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:37.172741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d2e5a380-2209-4c91-9788-4478c6873958 · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:37.059900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cd973a08-b6b1-4275-8ff2-e726e050a8da · outbound

This paper cites Canonical forms of polytopes from adjoints.

Positive Geometry of Polytopes and Polypols Canonical forms of polytopes from adjoints

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:34.532001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c45f9cc-a611-4022-9cab-462c76bb5129 · outbound

This paper cites Hartshorne.Algebraic geometry, volume 52.

Positive Geometry of Polytopes and Polypols Hartshorne.Algebraic geometry, volume 52

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:34.630526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dcd3c21-9522-4551-b14b-1acfefb3260b · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:36.884288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eea4eefe-2223-4743-b331-babf8a53f056 · outbound

This paper cites Kohn and K.

Positive Geometry of Polytopes and Polypols Kohn and K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:36.748171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2502d6f6-2fb9-471d-ad07-6d05c1e72581 · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:36.630058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a4f4a489-fbb9-46ea-ad0d-b4edf81e771a · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:36.531200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2f28ce67-f380-4710-b6d7-588aa02097f5 · outbound

This paper cites Pavlov and K.

Positive Geometry of Polytopes and Polypols Pavlov and K

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:34.991606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5dd3979-310c-417f-8447-12857d04c7c3 · outbound

This paper cites Ranestad, R.

Positive Geometry of Polytopes and Polypols Ranestad, R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:36.370413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bf878406-439d-4f96-a9da-2c08f5a80e78 · outbound

This paper cites Ranestad, B.

Positive Geometry of Polytopes and Polypols Ranestad, B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:36.185129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b666ff08-a687-47d1-961c-fddc7f6daa48 · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:26:35.218902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16fa4b7c-712c-4e6a-a15c-ba04380e550c · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:36.049697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db9ed527-d5a5-4d03-a929-05b936ad29c9 · outbound

This paper cites an unresolved cited work.

Positive Geometry of Polytopes and Polypols Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:35.908848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation be06f216-f461-4c94-bd80-294259d02108 · inbound

Positive Geometries from Cubic Surfaces cites this paper.

Positive Geometries from Cubic Surfaces Positive Geometry of Polytopes and Polypols

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T05:17:18.376013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 41d143d2-9db8-44f4-bf8c-43e523831cda · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Positive Geometry of Polytopes and Polypols

Reference 156

Resolution: verified exact; arxiv_id, observed 2026-05-20T17:23:36.352888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 381a9bc5-4d42-41cf-95e5-31f64503e5f5 · inbound

All Tree-Level Massive Cosmological Correlators via Spectral Gluing cites this paper.

All Tree-Level Massive Cosmological Correlators via Spectral Gluing Positive Geometry of Polytopes and Polypols

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T15:44:51.727801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.