Paper Citation Record · LEDGER

A note on the X-torsion order of a knot

As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2412.05156.

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

pith.paper-citation-record.v1
2412.05156 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:09:02.162687Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

14 of 14 outbound references displayed

verified exact0
verified fuzzy5
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation caf05b68-8c5b-45a3-a8ca-72e7ddd77064 · outbound

This paper cites 254 (2019), 29--38.

A note on the X-torsion order of a knot 254 (2019), 29--38

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:09:02.538198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6fd67a6c-e678-4b65-a51c-ebeb792013e9 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:09:02.519408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 48230e7e-2ec5-4e52-a230-63e2f4ab5f5a · outbound

This paper cites Knot Theory Ramifications 16 (2007), no.

A note on the X-torsion order of a knot Knot Theory Ramifications 16 (2007), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:09:02.502648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation be147501-7265-49d9-96ce-53e14521931a · outbound

This paper cites Lowrance, Radmila Sazdanovi\'c, and Melissa Zhang, On K hovanov homology and related invariants , Research directions in symplectic and contact geometry and topology, Assoc.

A note on the X-torsion order of a knot Lowrance, Radmila Sazdanovi\'c, and Melissa Zhang, On K hovanov homology and related invariants , Research directions in symplectic and contact geometry and topology, Assoc

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:09:02.485070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6191484e-1455-4182-a8ee-aef67b796207 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:09:02.467517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 19d83d21-ca3f-4c69-a9cc-525de210f002 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T21:09:02.114886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db511850-b45c-47ee-9fbe-004ef52d2228 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:09:02.450134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e740804b-23d7-4138-9a14-3f295e5b25d5 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T21:09:02.126572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24a42bf9-0b5b-4057-9d36-a9f6def13de2 · outbound

This paper cites Khovanov homology and refined bounds for Gordian distances.

A note on the X-torsion order of a knot Khovanov homology and refined bounds for Gordian distances

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T21:09:02.132216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c36b840a-c3ab-47a8-b324-ea0990b79cd2 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T21:09:02.138373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32e7f67c-20bf-404a-afd3-70f459f982b2 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:09:02.410015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4f9fdfb0-e429-4500-aba5-7d66078ed6f3 · outbound

This paper cites an unresolved cited work.

A note on the X-torsion order of a knot Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:09:02.389808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bce07dc9-b2a5-4af7-9ffe-38f8d0f6102e · outbound

This paper cites Knot Theory Ramifications 29 (2020), no.

A note on the X-torsion order of a knot Knot Theory Ramifications 29 (2020), no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:09:02.370171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dd983d14-3e7e-4401-b0c6-13023e0d92d3 · outbound

This paper cites Knot Theory Ramifications 31 (2022), no.

A note on the X-torsion order of a knot Knot Theory Ramifications 31 (2022), no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:09:02.351119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.