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Paper Citation Record · LEDGER

The number of edges of a symmetric edge polytope

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2512.16572.

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

pith.paper-citation-record.v1
2512.16572 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:41:23.727520Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:23:13.119486Z

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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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

Outbound references

Observation d24759a3-6c3d-4c87-a59a-a181a7d40b33 · outbound

This paper cites Athanasiadis.

The number of edges of a symmetric edge polytope Athanasiadis

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:21.697314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:21.697314Z digest=sha256:6207cb5cabccb0d808d130c5f0a6546c97215a0c0ea706a4a8bd5b522d0e10ee

Observation 73d7dd2c-243f-42e2-9537-8ee55664313b · outbound

This paper cites Thin polytopes: Lattice polytopes with vanishing local h*-polynomial.

The number of edges of a symmetric edge polytope Thin polytopes: Lattice polytopes with vanishing local h*-polynomial

Reference 2

Resolution
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no resolver link, observed 2026-08-03T15:41:21.763639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:21.763639Z digest=sha256:8db34c1c4472e286043fe656dcd2d767bd29becec7d8dad71f6385632a641c3d

Observation 44991aaf-fb26-45bf-b899-9be589e7b2fc · outbound

This paper cites Lattice points in lattice polytopes.

The number of edges of a symmetric edge polytope Lattice points in lattice polytopes

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:21.871701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:21.871701Z digest=sha256:787b3e1d97a5be0663a047eb33e0aedfbd35dc642994860a05b5497113b79fbd

Observation f9a9dc3f-6948-47f3-bd56-4fef74114b36 · outbound

This paper cites Unimodality, log-concavity, real-rootedness and beyond.

The number of edges of a symmetric edge polytope Unimodality, log-concavity, real-rootedness and beyond

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:21.987829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:21.987829Z digest=sha256:3a0c462eb01f22e80d10b0472cfee8416a2c2d17328b6e9481946b0a4ef5fb21

Observation ce820074-6356-40b8-8b2d-8e43a593b2a2 · outbound

This paper cites Facets and facet subgraphs of symmetric edge polytopes.

The number of edges of a symmetric edge polytope Facets and facet subgraphs of symmetric edge polytopes

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.051680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.051680Z digest=sha256:976e8be61801e3bae1d2e37ef982f21371e3482d044c7855698ff04f587855bb

Observation afb4726b-3ecb-4c13-84b5-c81eb470d0b0 · outbound

This paper cites Counting equilibria of the K uramoto model using birationally invariant intersection index.

The number of edges of a symmetric edge polytope Counting equilibria of the K uramoto model using birationally invariant intersection index

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.201760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.201760Z digest=sha256:9c6d8e970825b5238653e2c49fe36e148a97637af1ca6f133e77ef61b5954ab8

Observation f3de4930-408a-4af1-af5e-5eba263066e7 · outbound

This paper cites u rk \" u \.

The number of edges of a symmetric edge polytope u rk \" u \

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.351626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.351626Z digest=sha256:efae211f58410e67d942fa75fe2f1bde584f0cb451378416017d3aa382f78767

Observation 60e7c4a7-0963-4581-8e80-fe6721b77a96 · outbound

This paper cites Many F aces of S ymmetric E dge P olytopes.

The number of edges of a symmetric edge polytope Many F aces of S ymmetric E dge P olytopes

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.473729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.473729Z digest=sha256:08b5fbc077708f2cff5a68f3f32ea8898b2d3ac3e54af3c5b9f9bebe7babf272

Observation bd0a8295-f1ee-440f-8f8d-b747bc7eb85d · outbound

This paper cites Fundamental polytopes of metric trees via parallel connections of matroids.

The number of edges of a symmetric edge polytope Fundamental polytopes of metric trees via parallel connections of matroids

Reference 9

Resolution
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no resolver link, observed 2026-08-03T15:41:22.586195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.586195Z digest=sha256:5f10d9e9350bf6a55fa1582d0d8727aee329ace61d700c6563de7815a5d69952

Observation fe0a1a6f-e1fd-4fd0-9b0c-1c9e655f69e3 · outbound

This paper cites On a generalization of symmetric edge polytopes to regular matroids.

The number of edges of a symmetric edge polytope On a generalization of symmetric edge polytopes to regular matroids

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.638144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.638144Z digest=sha256:6af7ea2146a4dc09fbc531d0db09c471c3f4a262bb5e22dfa1bd0d7b90545eb9

Observation 179c712f-4043-4f65-845d-d8b20e7ef5ab · outbound

This paper cites On the gamma-vector of symmetric edge polytopes.

The number of edges of a symmetric edge polytope On the gamma-vector of symmetric edge polytopes

Reference 11

Resolution
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no resolver link, observed 2026-08-03T15:41:22.693818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.693818Z digest=sha256:d31c348afdcc56fa707d91946a423272f5c18b9804e3fdb21835ac442f35f9e2

Observation 4690fdc8-4536-4b4b-b9ca-1e8462faba05 · outbound

This paper cites Sur les poly\`edres rationnels homoth\' e tiques \`a n dimensions.

The number of edges of a symmetric edge polytope Sur les poly\`edres rationnels homoth\' e tiques \`a n dimensions

Reference 12

Resolution
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no resolver link, observed 2026-08-03T15:41:22.753266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.753266Z digest=sha256:c950008b47c8a91d8df5c72a186e05484f71013dc226b09de996f41cb550d016

Observation be4281b7-0b0e-487a-b4f5-774a6a6e2e7d · outbound

This paper cites an unresolved cited work.

The number of edges of a symmetric edge polytope Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.828379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.828379Z digest=sha256:04da0689f94c794e9df10187207313b374ab4b92040afbd9d0582a7f6e20556e

Observation cfd34752-6a8c-48f0-97e0-d08eabf01ba4 · outbound

This paper cites Dual polytopes of rational convex polytopes.

The number of edges of a symmetric edge polytope Dual polytopes of rational convex polytopes

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.900688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.900688Z digest=sha256:4c365d3561fe5f6edbe6bdc300cebf5137f2e6e52df7faf1694e3ad6246d7483

Observation 1f40c0cd-fb61-4943-a809-485970261350 · outbound

This paper cites Arithmetic aspects of symmetric edge polytopes.

The number of edges of a symmetric edge polytope Arithmetic aspects of symmetric edge polytopes

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:22.960894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:22.960894Z digest=sha256:6ebafa2e2a3e02a9b4969a98b46c7db0390e709f92215c3bc4516009c4c563ff

Observation 431b90dc-4cd0-4558-ac0e-81a8f89ee942 · outbound

This paper cites h^* -vectors of graph polytopes using activities of dissecting spanning trees.

The number of edges of a symmetric edge polytope h^* -vectors of graph polytopes using activities of dissecting spanning trees

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:23.036557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.036557Z digest=sha256:702822b5d9a3ed9fd439ba2dbfd5b1d5befcd8c13b7d9a100821aca0f5132715

Observation 5e624713-01d3-4f4c-8659-1c7d12343ee6 · outbound

This paper cites Roots of E hrhart polynomials arising from graphs.

The number of edges of a symmetric edge polytope Roots of E hrhart polynomials arising from graphs

Reference 17

Resolution
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no resolver link, observed 2026-08-03T15:41:23.074308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.074308Z digest=sha256:e4bb2139a571a56a65481e7e23787fe297b0e0e6f07b8cecade15345b76c0295

Observation a6fb1edf-03d8-48d9-93af-d665bd58d1a9 · outbound

This paper cites Number of facets of symmetric edge polytopes arising from join graphs.

The number of edges of a symmetric edge polytope Number of facets of symmetric edge polytopes arising from join graphs

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:23.160044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.160044Z digest=sha256:225d04997eb0b9be09975d7551d197dadf12ca58e3858d9fbf047d4c1265485e

Observation 67cabdcc-45bb-456f-8ee2-6f41f8832b4b · outbound

This paper cites The h^* -polynomials of locally anti-blocking lattice polytopes and their -positivity.

The number of edges of a symmetric edge polytope The h^* -polynomials of locally anti-blocking lattice polytopes and their -positivity

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:23.213152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.213152Z digest=sha256:610b0f433612c47a199d4146ed4c45b218ec028ff0544bc2fbe07da444a81bb7

Observation 979293a0-d9e5-41c8-9d30-d4c0fa411a31 · outbound

This paper cites Symmetric edge polytopes and matching generating polynomials.

The number of edges of a symmetric edge polytope Symmetric edge polytopes and matching generating polynomials

Reference 20

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no resolver link, observed 2026-08-03T15:41:23.306513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.306513Z digest=sha256:97ba82da2d0eb08eafe7d5dfe121a152f13f41b2284e629bd184608713e2c51d

Observation 955b902f-215a-46b1-96d9-ff3bb5d7ae13 · outbound

This paper cites an unresolved cited work.

The number of edges of a symmetric edge polytope Unresolved cited work

Reference 21

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no resolver link, observed 2026-08-03T15:41:23.429690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.429690Z digest=sha256:51826fd029fc23323c41572eafba0c76886c1bf2926e81197fa225242e2e0540

Observation e9d974eb-1c5f-4817-b358-891a21381502 · outbound

This paper cites an unresolved cited work.

The number of edges of a symmetric edge polytope Unresolved cited work

Reference 22

Resolution
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no resolver link, observed 2026-08-03T15:41:23.485610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.485610Z digest=sha256:85268afdb8a52fd74e781461d1544335196c6031614e8f3ed72e354e6ed208e2

Observation 668f29be-4f82-4767-ab2c-3519e2898c88 · outbound

This paper cites an unresolved cited work.

The number of edges of a symmetric edge polytope Unresolved cited work

Reference 23

Resolution
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no resolver link, observed 2026-08-03T15:41:23.580260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.580260Z digest=sha256:67f13da85aa96ddf27c2622645ed989d1b522a442211d7ef539b180b430acc79

Observation aa0cf127-07b6-4cfb-ab41-fabbd8fc1eea · outbound

This paper cites an unresolved cited work.

The number of edges of a symmetric edge polytope Unresolved cited work

Reference 24

Resolution
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no resolver link, observed 2026-08-03T15:41:23.648063Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.648063Z digest=sha256:eac3cdd42ed6e52a956f38730151fbe9d89c5e0d8497611c8215893e2276ede0

Observation 1763a9c1-47fd-40f4-9c12-63e6cb30dc22 · outbound

This paper cites an unresolved cited work.

The number of edges of a symmetric edge polytope Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T15:41:23.727520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:41:23.727520Z digest=sha256:596b7424019a098ab501aa062ebf7d6ca189d3a6760c8b1db8344824c9711880

Pith citing papers

Observation 241cb150-ea16-4073-a165-7833a3bb469b · inbound

Symmetric edge polytopes are not gamma-positive cites this paper.

Symmetric edge polytopes are not gamma-positive The number of edges of a symmetric edge polytope

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-07T03:18:51.672269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-07-03T10:18:38.137938Z digest=sha256:14b620983c95028082627bd6eaa6540c5fc0c39f1a5e6aac98f89e983cae0d54

Observation 869474c4-f393-4276-b479-fe4478ef6416 · inbound

Minkowski decomposability of symmetric edge polytopes cites this paper.

Minkowski decomposability of symmetric edge polytopes The number of edges of a symmetric edge polytope

Reference 2

Resolution
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no resolver link, observed 2026-08-04T07:23:13.119486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:23:13.119486Z digest=sha256:5bc87b7a8a13239a1c9ef895464ad8705020a61409f042a4e57c4a4ff9c6c473