Paper Citation Record · LEDGER

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid

As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2601.07697.

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

pith.paper-citation-record.v1
2601.07697 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:14:51.521579Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact0
verified fuzzy0
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ff2d9e7-bd4d-4221-bd8b-6b897f76d15e · outbound

This paper cites Math., vol.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Math., vol

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.485811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dafef1a5-d0fa-4848-ac37-e0e0b357a668 · outbound

This paper cites K-polynomials of multiplicity-free varieties.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid K-polynomials of multiplicity-free varieties

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.490211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d2e3cf3-a9fd-43cc-8dc4-fcd08aa1026e · outbound

This paper cites Syzygies of polymatroidal ideals.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Syzygies of polymatroidal ideals

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.495182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef27acb0-af69-4198-8c70-0de494e740ae · outbound

This paper cites Tsakiris, Resolution of ideals associated to subspace arrangements, Algebra Number Theory 16 (2022), no.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Tsakiris, Resolution of ideals associated to subspace arrangements, Algebra Number Theory 16 (2022), no

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.499839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5f87061-1b98-4d34-83f2-0e16b6c10e8c · outbound

This paper cites K-theoretic positivity for matroids.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid K-theoretic positivity for matroids

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.504931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30c962d6-7cd6-49b1-8546-7f7955cf45fd · outbound

This paper cites Algebraic Combin.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Algebraic Combin

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.509338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d23631a-ab9c-46d9-8628-a0e581dfff3f · outbound

This paper cites Frobenius splitting, point-counting, and degeneration.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Frobenius splitting, point-counting, and degeneration

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.513685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00287636-413e-4947-93cc-e9649ede15ca · outbound

This paper cites an unresolved cited work.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.517665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cfa1237-8787-40fe-9b85-7fa05f084b16 · outbound

This paper cites P olyhedra and efficiency.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid P olyhedra and efficiency

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T11:14:51.521579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.