Paper Citation Record · LEDGER

Trapezodial property of the generalized Alexander polynomial

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2504.20967.

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

pith.paper-citation-record.v1
2504.20967 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:27:48.160223Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

28 of 28 outbound references displayed

verified exact0
verified fuzzy20
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 167f49b7-e7ec-44ec-ab66-3c5ca4e5120f · outbound

This paper cites Log-concave polynomials, I : entropy and a deterministic approximation algorithm for counting bases of matroids.

Trapezodial property of the generalized Alexander polynomial Log-concave polynomials, I : entropy and a deterministic approximation algorithm for counting bases of matroids

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.722209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4e1957ff-1cb8-4d68-968b-b44ee699e9eb · outbound

This paper cites On Fox's trapezoidal conjecture.

Trapezodial property of the generalized Alexander polynomial On Fox's trapezoidal conjecture

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T05:27:48.011703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20974c5a-84fb-48ca-9da4-eabfc63955f7 · outbound

This paper cites Alexander.

Trapezodial property of the generalized Alexander polynomial Alexander

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.705080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation efe15836-f4a7-4673-869a-9831ba7ad472 · outbound

This paper cites Log-concave polynomials II : H igh-dimensional walks and an FPRAS for counting bases of a matroid.

Trapezodial property of the generalized Alexander polynomial Log-concave polynomials II : H igh-dimensional walks and an FPRAS for counting bases of a matroid

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.684653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 97afdcaf-c252-4322-9a05-b8008614b01e · outbound

This paper cites Log-concave polynomials III : M ason's ultra-log-concavity conjecture for independent sets of matroids.

Trapezodial property of the generalized Alexander polynomial Log-concave polynomials III : M ason's ultra-log-concavity conjecture for independent sets of matroids

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.665008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a157607a-539a-4bcb-bdc6-52f80709e1c0 · outbound

This paper cites Lorentzian polynomials.

Trapezodial property of the generalized Alexander polynomial Lorentzian polynomials

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.646435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8625eeed-396d-45db-8707-4fa7daab8fcd · outbound

This paper cites Lower bounds for contingency tables via lorentzian polynomials.

Trapezodial property of the generalized Alexander polynomial Lower bounds for contingency tables via lorentzian polynomials

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.629787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6a0bb89d-9fcf-4c35-9947-bd9013dc4451 · outbound

This paper cites orner, Michel Las Vergnas, Bernd Sturmfels, Neil White, and G\.

Trapezodial property of the generalized Alexander polynomial orner, Michel Las Vergnas, Bernd Sturmfels, Neil White, and G\

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.612028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d02c5175-6530-4404-a7f9-e69bb8012ab1 · outbound

This paper cites Submodular functions, matroids, and certain polyhedra.

Trapezodial property of the generalized Alexander polynomial Submodular functions, matroids, and certain polyhedra

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T05:27:48.056208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f37ec86a-31d9-4bf8-bc35-0c67dfc05673 · outbound

This paper cites Some problems in knot theory.

Trapezodial property of the generalized Alexander polynomial Some problems in knot theory

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.582178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a85e3979-4382-48f5-b9e7-afbd992c39ec · outbound

This paper cites Alternating links and definite surfaces.

Trapezodial property of the generalized Alexander polynomial Alternating links and definite surfaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.563035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3f16d5ef-210f-4c60-ba2d-ec499f0ce565 · outbound

This paper cites an unresolved cited work.

Trapezodial property of the generalized Alexander polynomial Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:27:48.546208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 22201c34-1d2b-4131-a06a-5caae11e1d24 · outbound

This paper cites Arithmetic aspects of symmetric edge polytopes.

Trapezodial property of the generalized Alexander polynomial Arithmetic aspects of symmetric edge polytopes

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.529234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 42f89a49-ae34-467a-ab66-76a777beca87 · outbound

This paper cites Log- C oncavity of the A lexander P olynomial.

Trapezodial property of the generalized Alexander polynomial Log- C oncavity of the A lexander P olynomial

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.511452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8cdc5f21-4049-4cea-9afb-59560f8b606b · outbound

This paper cites On the Alexander polynomial of special alternating links.

Trapezodial property of the generalized Alexander polynomial On the Alexander polynomial of special alternating links

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T05:27:48.234645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a484889c-edaa-40a5-8831-6a7754ec9753 · outbound

This paper cites an unresolved cited work.

Trapezodial property of the generalized Alexander polynomial Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:27:48.492446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ac10ae8-62f8-4800-a62a-215667af3324 · outbound

This paper cites Alexander polynomials of alternating knots of genus two.

Trapezodial property of the generalized Alexander polynomial Alexander polynomials of alternating knots of genus two

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.475282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8674605d-d691-417d-b919-59ec262c6fce · outbound

This paper cites Root polytopes and J aeger-type dissections for directed graphs.

Trapezodial property of the generalized Alexander polynomial Root polytopes and J aeger-type dissections for directed graphs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.456424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e591ee59-ace4-4931-b182-d13a64a6d433 · outbound

This paper cites Slicing zonotopes.

Trapezodial property of the generalized Alexander polynomial Slicing zonotopes

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.435711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ba5041b0-d8a5-4d52-8ab5-df770df99626 · outbound

This paper cites The A lexander polynomial of planar even valence graphs.

Trapezodial property of the generalized Alexander polynomial The A lexander polynomial of planar even valence graphs

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.418825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 492073e4-69a5-431f-8e76-cfd5c0f4d1d7 · outbound

This paper cites On the A lexander polynomial of alternating algebraic knots.

Trapezodial property of the generalized Alexander polynomial On the A lexander polynomial of alternating algebraic knots

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.391545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dea7cdfe-920c-4088-af66-52ec3c145b5e · outbound

This paper cites Heegaard F loer homology and alternating knots.

Trapezodial property of the generalized Alexander polynomial Heegaard F loer homology and alternating knots

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.367502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 03d5b5d5-770b-4c34-94ce-f30169a3dfce · outbound

This paper cites Matroid theory , volume 21 of Oxford Graduate Texts in Mathematics.

Trapezodial property of the generalized Alexander polynomial Matroid theory , volume 21 of Oxford Graduate Texts in Mathematics

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T05:27:48.134743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8627cd43-01d2-4a47-b2a8-d32ea11f1822 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Trapezodial property of the generalized Alexander polynomial Total positivity, Grassmannians, and networks

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T05:27:48.139859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bed778d8-900a-4e35-a8f3-61cd7f3a7b91 · outbound

This paper cites Permutohedra, associahedra, and beyond.

Trapezodial property of the generalized Alexander polynomial Permutohedra, associahedra, and beyond

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T05:27:48.145146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2db382dc-22d8-40c1-927a-561f66a1b90e · outbound

This paper cites Knots and links , volume No.

Trapezodial property of the generalized Alexander polynomial Knots and links , volume No

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.316148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f78834a1-c5db-4fd6-8ae9-7f4f8f0ecb74 · outbound

This paper cites Newton-like polynomials of links.

Trapezodial property of the generalized Alexander polynomial Newton-like polynomials of links

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.296884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 01a6ffcb-cf2e-4f0f-a827-6768465c7e07 · outbound

This paper cites A geometric proof for the root-independence of the greedoid polynomial of E ulerian branching greedoids.

Trapezodial property of the generalized Alexander polynomial A geometric proof for the root-independence of the greedoid polynomial of E ulerian branching greedoids

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:27:48.272262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

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