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Paper Citation Record · LEDGER

S-Equivalence of Band-Twisted Genus One Knots

As of 5 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2605.25309.

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

pith.paper-citation-record.v1
2605.25309 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T16:03:28.520007Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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 d6d05d5e-3e3b-41c6-aaa4-dee58624f4d9 · outbound

This paper cites Baykur, R.

S-Equivalence of Band-Twisted Genus One Knots Baykur, R

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:e3861915868ca181855f039a8cc0b90524ffad4fe194900088827278b4876c19

Observation d9d7c3ff-41c3-4c1b-a89c-0ea733b4f28a · outbound

This paper cites Murasugi, On a certain numerical invariant of link types, Trans.

S-Equivalence of Band-Twisted Genus One Knots Murasugi, On a certain numerical invariant of link types, Trans

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:a38cd3cc3cf6f5c95488e972c8d4332bfe8572f022c47826f04cafb0aa735ee8

Observation 2b684469-4c95-403f-8a92-110b317b5ea9 · outbound

This paper cites an unresolved cited work.

S-Equivalence of Band-Twisted Genus One Knots Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:e63e82613711617e15355728c09cae1c0c32281b76326feef43b8803f423689b

Observation 1b96c743-a412-4ccc-8dcf-6a07e6975bea · outbound

This paper cites an unresolved cited work.

S-Equivalence of Band-Twisted Genus One Knots Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:5480e83300f8477f4989d011c327f81770f41e8e0b04b2d8b937497262f5e534

Observation 26a2171b-7a05-414e-b3e5-0e102555d058 · outbound

This paper cites an unresolved cited work.

S-Equivalence of Band-Twisted Genus One Knots Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:65859d6eb6912fcf4267fbb35eafc9fcf54418ef150e175c7fe696ff142d5d38

Observation d435d77b-d7bb-4122-bea7-eb17221a6bfd · outbound

This paper cites F.Trotter, Homology of group systems with applications to knot theory, Annals of Mathematics 76(1962), 464-498.

S-Equivalence of Band-Twisted Genus One Knots F.Trotter, Homology of group systems with applications to knot theory, Annals of Mathematics 76(1962), 464-498

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:45a96fa31348046e7473b9dc7936b5d24122043e5f6d673208976c45d2b518fe

Observation b9e39b8e-e84d-46a1-8a75-23bc75935f65 · outbound

This paper cites Naik and T.

S-Equivalence of Band-Twisted Genus One Knots Naik and T

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:a8b0f33254beb9a41298672049b6481a7e7e5651d9eccdcf1a55179f58ed0eb5

Observation 2acfa313-ef15-4b40-8a68-ef378fc035bf · outbound

This paper cites an unresolved cited work.

S-Equivalence of Band-Twisted Genus One Knots Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:f18fe486744a8e3d14eeab98eca3e1b1aa405407355fc918c3368ea4ad43a239

Observation c583a4ae-bd89-4368-9219-d35e087f9d81 · outbound

This paper cites Rolfsen, Knots and links, American Mathematical Society, 1976.

S-Equivalence of Band-Twisted Genus One Knots Rolfsen, Knots and links, American Mathematical Society, 1976

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-12T16:03:28.520007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T16:03:28.520007Z digest=sha256:cc1d09da60161c020f517515e2a50d5bce39d3179c3dba0a2593b5623a93b5ac

Pith citing papers

No inbound Pith citation observations are available.