Paper Citation Record · LEDGER

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links

As of 19 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2606.15256.

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

pith.paper-citation-record.v1
2606.15256 v2

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T14:00:26.551941Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

6 of 6 outbound references displayed

verified exact0
verified fuzzy0
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02c851e8-8f68-4834-83b0-b6bc41ee0f13 · outbound

This paper cites Crowell,Genus of alternating link types, Annals of Mathematics69(1959), no.

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links Crowell,Genus of alternating link types, Annals of Mathematics69(1959), no

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T14:00:26.551941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b972cd9-4475-4e25-8685-e7bcd19a9783 · outbound

This paper cites an unresolved cited work.

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T14:00:26.551941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0e06a7f-c1df-4490-bb5c-222b25fd2bb4 · outbound

This paper cites 3, 248–254.

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links 3, 248–254

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T14:00:26.551941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7c4eb7c-7f4b-4400-9d55-a7fa3b17c0ec · outbound

This paper cites 334, 386–389.

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links 334, 386–389

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T14:00:26.551941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efd83cef-429e-4d52-bf78-093fa0bf0e69 · outbound

This paper cites Murasugi,On the Alexander polynomial of the alternating knot, Osaka Mathematical Journal10(1958), no.

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links Murasugi,On the Alexander polynomial of the alternating knot, Osaka Mathematical Journal10(1958), no

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T14:00:26.551941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b04a61c-a94b-45ff-b742-ea1e8f01e471 · outbound

This paper cites Spectral Factorization and Hypergeometric Representations of the Alexander Polynomials of $Th(4,2n+1)$.

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links Spectral Factorization and Hypergeometric Representations of the Alexander Polynomials of $Th(4,2n+1)$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T14:00:26.551941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.