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Paper Citation Record · LEDGER

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem

As of 15 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2405.13431.

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

pith.paper-citation-record.v1
2405.13431 v3

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T01:02:05.486010Z

measured 8 of 8 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:27:12.340427Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T14:27:12.572463Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact3
  • verified fuzzy3
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0866ba2-205f-48b5-a670-8a8b0ff0e007 · outbound

This paper cites Birkh¨ auser, Basel.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem Birkh¨ auser, Basel

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.006338Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:401eaeb213966b7a53232a3071a98c6dbc20e0d7d8052f48cf27955594489a0b

Observation daa42800-e869-4762-a7b8-cffbdbb90e4e · outbound

This paper cites an unresolved cited work.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-24T01:03:42.010261Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:c0df2f33891e1460ea0fc13e946d995a34c219f2fd7551319ac138d3ee075331

Observation 1e11fb84-e03d-4b10-ab2b-83b98902eaf0 · outbound

This paper cites On the Ehrhart Theory of Generalized Symmetric Edge Polytopes.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem On the Ehrhart Theory of Generalized Symmetric Edge Polytopes

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-05-24T01:03:41.292079Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:cd6746cfb5664651cdeffabd85c9b686969317240b5fbf11f5c7aff89235911e

Observation 41df5215-69ba-4da7-823c-918814bec615 · outbound

This paper cites On a generaliza- tion of symmetric edge polytopes to regular matroids.Int.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem On a generaliza- tion of symmetric edge polytopes to regular matroids.Int

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.001623Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:9e48f08bb09bd3449787235fdd6f2345d4d0d0e6362052eb2b146ea10e0345a5

Observation 76ca14b3-fa43-4914-86d0-8c6ad04c75ac · outbound

This paper cites [GJ00] Ewgenij Gawrilow and Michael Joswig.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem [GJ00] Ewgenij Gawrilow and Michael Joswig

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:41.986619Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:f3081200dd1a10980af40631929f2fe8186c32ef42b69f30a38308bde7b1d3e4

Observation 62ddd9f9-f3f0-4302-9a5c-8b529423cc00 · outbound

This paper cites Examples of IDP lattice polytopes with non-log-concave $h^*$-vector.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem Examples of IDP lattice polytopes with non-log-concave $h^*$-vector

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-24T01:03:41.300328Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:b41d795fb9f9ee06be18224a54aa9d806a6612bcb3790c1b70e6c2b80828a320

Observation cdcff805-bd53-427f-b0eb-f949759c9619 · outbound

This paper cites Unimodular Smooth Fano Polytopes and their Relation with Ewald Conditions.

Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem Unimodular Smooth Fano Polytopes and their Relation with Ewald Conditions

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-24T01:03:41.287062Z

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=pdf_text observed=2026-05-24T01:02:05.486010Z digest=sha256:a1bed49f299a6a1e124b8d9d19f0b1f2d154e8f940ade9e56fc7eaf5432868fb

Pith citing papers

Observation e8ce0907-5d20-4201-8242-7a6b8506561e · inbound

Examples of IDP lattice polytopes with non-log-concave $h^*$-vector cites this paper.

Examples of IDP lattice polytopes with non-log-concave $h^*$-vector Unimodular polytopes and column number bounds on polytopal totally unimodular matrices via Seymour's decomposition theorem

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:27:12.660638Z

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=pdf_text observed=2026-08-07T14:27:12.340427Z digest=sha256:9d7bea4d5fbb48df3a42e670caf17b8ef32a6750eb5b317078df8921f4b2162f