Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:08:42.028965Z
Paper Citation Record · LEDGER
An Intersection Product for the Polytope Algebra
As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2504.16678.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e3b720ed-2c62-4413-9adc-1a0842bfb587 · outbound
This paper cites Adiprasito, J.
An Intersection Product for the Polytope Algebra Adiprasito, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:44.302929Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 78d22d15-c906-41ad-af61-37dda2247bee · outbound
This paper cites Alesker, The multiplicative structure on continuous polynomial val uations, Geom.
An Intersection Product for the Polytope Algebra Alesker, The multiplicative structure on continuous polynomial val uations, Geom
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:44.212993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a728eea4-aa6f-40ad-96c7-3ae979ef3c3e · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:44.178154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d546e28c-1f36-46bf-b7cf-dbc147b63ac1 · outbound
This paper cites II , Adv.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:44.145978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 91aaddfb-7de1-4ef6-81ce-6ad459fc8625 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:44.088383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ac1d423b-098f-47e1-a41c-b559b8ee8a7e · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:44.024572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 32aa832d-76bc-4f22-b77b-4ba1cd431308 · outbound
This paper cites Alesker and A.
An Intersection Product for the Polytope Algebra Alesker and A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.957188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 695196b2-d38f-451a-84e1-e04d9046bdc6 · outbound
This paper cites Alesker and J.
An Intersection Product for the Polytope Algebra Alesker and J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.839163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 650e4197-d38d-4527-b594-6da92405de2e · outbound
This paper cites Bernig and D.
An Intersection Product for the Polytope Algebra Bernig and D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.677379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4f990603-3bbf-4560-9877-bb16471272eb · outbound
This paper cites Bernig and J.
An Intersection Product for the Polytope Algebra Bernig and J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.595336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d991030b-0340-4655-a0ef-4304610d5e44 · outbound
This paper cites Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations.
An Intersection Product for the Polytope Algebra Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:08:41.083354Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 936a305f-1196-4815-b7ea-04d86196dc85 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:43.584931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6a5ab72c-e025-474e-ba67-1948f66a9d79 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:43.535102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fc37cc6a-64ec-4076-8802-0716270926bb · outbound
This paper cites Singular Hodge theory for combinatorial geometries.
An Intersection Product for the Polytope Algebra Singular Hodge theory for combinatorial geometries
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:08:41.309128Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 937c6564-a4c0-4542-b5a9-7219034c242e · outbound
This paper cites Brion, The structure of the polytope algebra , Tohoku Math.
An Intersection Product for the Polytope Algebra Brion, The structure of the polytope algebra , Tohoku Math
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.448920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d5ac8ea7-99e5-4b45-a03f-c53fe1573a8c · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:43.390962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d9b2bfbc-a5ed-4c4a-9462-81154d742158 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:43.378341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dd4d5a67-61a6-4ec5-8753-3f3e2ddcc32e · outbound
This paper cites Faifman and T.
An Intersection Product for the Polytope Algebra Faifman and T
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.303410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 417a9111-6bd6-473b-aba4-1a121ff4b5c4 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:43.252963Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f60d67cb-db07-4a3e-860b-aa04c5c92a49 · outbound
This paper cites 261–299, Lecture Notes in Math.
An Intersection Product for the Polytope Algebra 261–299, Lecture Notes in Math
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.211147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 246e1cfc-87bb-41f9-97ab-b496c0c03c37 · outbound
This paper cites Fulton and B.
An Intersection Product for the Polytope Algebra Fulton and B
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.116196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 51e8223a-a2fc-4597-a572-1dd71a091a97 · outbound
This paper cites Huh, Combinatorial applications of the Hodge-Riemann relation s, Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018.
An Intersection Product for the Polytope Algebra Huh, Combinatorial applications of the Hodge-Riemann relation s, Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:43.057389Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6d36aff6-ac71-49be-8a3a-cfe04e49f77a · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:42.990725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 92db00e9-ce4f-478a-aa6c-084b7266bd09 · outbound
This paper cites Huh and B.
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.904794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 545cb790-0d45-47a7-b4c2-8fee0438a6df · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:42.841822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7718a60f-193a-4dbb-a297-0e21ffd8b005 · outbound
This paper cites Kotrbat´ y and T.
An Intersection Product for the Polytope Algebra Kotrbat´ y and T
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.792892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4a32d31c-1960-47ad-9278-8717c6ade2a1 · outbound
This paper cites McMullen, Continuous translation-invariant valuations on the space of compact convex sets , Arch.
An Intersection Product for the Polytope Algebra McMullen, Continuous translation-invariant valuations on the space of compact convex sets , Arch
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.697662Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b6a5b827-3f21-4699-8f2e-c0408dde9aab · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:42.519526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation da3e6b96-8edf-4fa0-9782-467ec3965474 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:42.507228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5b07ad04-ddeb-4d18-b407-459b3de9f724 · outbound
This paper cites 1, 15–30.
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.421468Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 255db38c-2b1a-4cbc-9358-53d5c712fcdd · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:42.377564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 009d289f-66aa-4b03-aaa8-ee87a32b434f · outbound
This paper cites Motzkin, The lines and planes connecting the points of a finite set , Trans.
An Intersection Product for the Polytope Algebra Motzkin, The lines and planes connecting the points of a finite set , Trans
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.335375Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 068eb0e3-411b-4ed2-bfa0-1a460b56d8e8 · outbound
This paper cites Schneider, Convex bodies: the Brunn-Minkowski theory , Cambridge University Press, Cambridge, 2014.
An Intersection Product for the Polytope Algebra Schneider, Convex bodies: the Brunn-Minkowski theory , Cambridge University Press, Cambridge, 2014
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.280314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 268758f5-68db-4b89-9483-751b4b4b916d · outbound
This paper cites Schneider and W.
An Intersection Product for the Polytope Algebra Schneider and W
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.229596Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation feac954b-56f6-4f2e-973b-f6e3c66eb071 · outbound
This paper cites Shenfeld and R.
An Intersection Product for the Polytope Algebra Shenfeld and R
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:08:42.173406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 715d42e8-5759-4a80-976c-3172220fdc07 · outbound
This paper cites an unresolved cited work.
An Intersection Product for the Polytope Algebra Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:08:42.092854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.