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Paper Citation Record · LEDGER

Untwisting 3-strand torus knots

As of 16 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 2026-08-16T06:30:59.297886+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

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.037141Z digest=sha256:6fb67387ea9f2bfe4544c7c028be8de742ac8ad2480b8fc8ce95a214df45e8ad

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.042487Z digest=sha256:5a0e1b3146957356df8bed9be1611fd483d8f44f93e0da425ca3f3264e540b76

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.047153Z digest=sha256:dc72a577dc16516a0c04031e7183b45ecd20b5d3bb6ef91a0f895effa8ea9e5c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.051846Z digest=sha256:51dfcab70574ac381dd3cf1e14cda4f6fb67ffaa6540f57d426d7dea1c0394ae

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.056638Z digest=sha256:3a7029a376f23edb9c1cd9351c41e3f9460fa3427af5a7627123375a823239e5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.061019Z digest=sha256:615e4967c96098422eb78b644e311976b36763f7e8a2edf135db3189dd5b66aa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.066013Z digest=sha256:48aaa5552dcaa6ca16fb2e92c0dcf84b7588e9acae8ad8b8b29370363f0f0c47

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.070743Z digest=sha256:77624d6f67c3e6d44d8108b5166078e11962576220a6e6b94d19ee7ceb8e868e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.075172Z digest=sha256:90cf68364d1a998a1bf5bc51b0718a739dd7dabecd923d11535fcd1aebf4c37d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.080033Z digest=sha256:dee8d2ea1618a8199550d791cbc6016b11f453e15e8713223e0bc55a6c3625ad

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.084730Z digest=sha256:235de1fcdf213dd2aac59ec00b07d8c1a61775c5486cccf99a38b154bf68b9ba

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.089313Z digest=sha256:46fe49ee35d4b5d3c3f0e0e7192630ea5a318419a27cefb81d0fe07934639279

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.094113Z digest=sha256:e4489b61b187960e1a5d8f4a1e073a81397dfe97db0e258ab279a0a07608158d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:40:19.098766Z digest=sha256:f79fa326e0a686c5215f219a4badffbece57639bd31c092134f573a23ff34539

Pith citing papers

No inbound Pith citation observations are available.