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Paper Citation Record · LEDGER

Untwisting 3-strand torus knots

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1909.01003.

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

pith.paper-citation-record.v1
1909.01003 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:40:19.098766Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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 exact2
  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b4071a69-e26c-4e62-a71b-089b5af1a76a · outbound

This paper cites Baader: Positive braids of maximal signature , Enseign.

Untwisting 3-strand torus knots Baader: Positive braids of maximal signature , Enseign

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.335088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.037141Z digest=sha256:76f9de80bfd6f490ab6d0103d2829820e7dfaf9cc60ff8b5e27835fc9d868534

Observation 8a3adcb2-e175-4883-a0d0-4f3951a7be24 · outbound

This paper cites Baader, P.

Untwisting 3-strand torus knots Baader, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.320669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.042487Z digest=sha256:cd40a0e0ba3285792a4161b1e2272ce357011ef1c5bce7c6d3efb66cc0d1f972

Observation 0fbc8fd3-1346-4f58-a056-bb86575dac12 · outbound

This paper cites an unresolved cited work.

Untwisting 3-strand torus knots Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:40:19.306828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.047153Z digest=sha256:2c16484f6a6bfc9410a4cebe6c5c1e6f4c482fe3014a62eb0048d3bb2b64e7c8

Observation 34ec4273-66f1-44b9-9cf1-f0a9f36420ce · outbound

This paper cites an unresolved cited work.

Untwisting 3-strand torus knots Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:40:19.293466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.051846Z digest=sha256:e1a37c7426a1e46c348c0e2cc382169ba060db55cfa5fc3c2ec07eb91611d70f

Observation 39a2efda-e7f8-4d33-91c7-d40f7af87bf4 · outbound

This paper cites Ince: The untwisting number of a knot , Pacific J.

Untwisting 3-strand torus knots Ince: The untwisting number of a knot , Pacific J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.279947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.056638Z digest=sha256:6ee79b35a0aa7677aa2bf76d50f1aaf18306c432f00bf860c622816f0dc28210

Observation 4e7a9f25-e052-42c0-8e52-2b3574883ad4 · outbound

This paper cites an unresolved cited work.

Untwisting 3-strand torus knots Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:40:19.264395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.061019Z digest=sha256:3df9e6409990f78c3d8a9b56704f5ce69b6a339e8833f99a3fba0d85b7503b66

Observation 12345b1b-eb6a-489a-aaac-c9cf1e4a4d3a · outbound

This paper cites Null-homologous unknottings.

Untwisting 3-strand torus knots Null-homologous unknottings

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:40:19.161445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.066013Z digest=sha256:1084160e93b2d0931b1473116920face30fc1bdd480d6294f69ce682469df3a5

Observation 240cd26f-b1f3-48d7-9fc6-30a93b5cda67 · outbound

This paper cites an unresolved cited work.

Untwisting 3-strand torus knots Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:40:19.249360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.070743Z digest=sha256:9bd78d14845148a53bec94cb21df6218a3e93b2f3312dd2378d94fd9b196e24e

Observation 18737f3c-0fe2-41da-8713-a9374f0308a5 · outbound

This paper cites Null-homologous twisting and the algebraic genus.

Untwisting 3-strand torus knots Null-homologous twisting and the algebraic genus

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:40:19.140464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.075172Z digest=sha256:985dcf629aed252b91d51e08f8d2b619fd0e7a1147f877b10af3195f1ef3c763

Observation f203edd0-e077-46d4-b7ff-b1de685b381d · outbound

This paper cites McCoy: Gaps between consecutive untwisting numbers, Glasgow Math.

Untwisting 3-strand torus knots McCoy: Gaps between consecutive untwisting numbers, Glasgow Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.235502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.080033Z digest=sha256:a6a3d310ecc2a13f4e82a7d1f3ac615145ba5b71f6aa528b87ac1042bcdad2fb

Observation 9f5eb88d-402a-439e-bc4b-d0ed57aae3d6 · outbound

This paper cites Powell: The four-genus of a link, Levine-Tristram signatures and satellites , J.

Untwisting 3-strand torus knots Powell: The four-genus of a link, Levine-Tristram signatures and satellites , J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.220587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.084730Z digest=sha256:6a87035a2ef18f35f58feb42f3beb22811e4776abb8f26fce156c4f91dba87c7

Observation d5822bbb-6e2d-481c-9fc6-2e24de34ea91 · outbound

This paper cites Rasmussen: Khovanov homology and the slice genus , Invent.

Untwisting 3-strand torus knots Rasmussen: Khovanov homology and the slice genus , Invent

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.205601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.089313Z digest=sha256:29f42b74d507eed3beaa226813b6153a81f3e2a1d48285f6e72564907a5f8194

Observation e4382cb6-6890-4158-a96c-b5cb803a8860 · outbound

This paper cites Rudolph: Some topologically locally-flat surfaces in the complex projective plane , Comment.

Untwisting 3-strand torus knots Rudolph: Some topologically locally-flat surfaces in the complex projective plane , Comment

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.191098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.094113Z digest=sha256:ebb837e109b581195d0aae3f24a5eb0ec8c2c0595c9744534988bcffdcc65253

Observation ba17fbac-e80e-43dd-9bb1-dc64a1e8a05c · outbound

This paper cites Rudolph: Quasipositivity as an obstruction to sliceness , Bull.

Untwisting 3-strand torus knots Rudolph: Quasipositivity as an obstruction to sliceness , Bull

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:40:19.175980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T05:40:19.098766Z digest=sha256:be57c831b71a7ef1fbe66e1175a5d1b81966a718895b000c629d49fdd4775306

Pith citing papers

No inbound Pith citation observations are available.