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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=sha256:0a828888d6729da8032cb1db750d03d343aae239e76ef603748c245f2381b5f1

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=sha256:2ce5577c74ae3d2f20df3e6fe51c8e03ccf68453d6639dc1628aea58c4433fd3

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:a41dc63725593e13bf839ca0c8ba932d1cd9d775e4cfbff9f2fe8c7958f7c953

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=sha256:21297841342d25b8e2c43110722944e99ba3ea97c4fbfc9d0b5ac4ec3505db7f

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=sha256:4ac47a5492dbb852a35ec653d3f99a5ddb6d3779f823d598a6ae6ec7f4775abe

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=sha256:08700392c16e798919dd44c0870c30a77a744738dd02de2b7242d6f7cc849396

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=sha256:720866ce86b3e770053d71d82561ead0e3a9267e342f97b232cfa4f8884fdb64

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:aeee1fee608124f98394aa05735ae0107d3019f0de17f7975c5ecf800891c162

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=sha256:65e2c8d912988d52a78e1672b02ac9acbc93937bb338142d27ebf1925642d14d

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=sha256:322a477551ae8a473d5e98faedcf89ca3a792b89fd6631d44fdaa977171b758b

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=sha256:7262e5c8b846a5e2bbbfb6af56978d9c1faa3849cabf32ab73bb147650934f4f

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:a03f8b27067c86d9ec1aaab8141212ade2c51a05bd7b74a8b20a83ae12fcef93

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=sha256:963ebb16982ee04a773ba90853f4b307bf56e14502f98785df3a54b4a9b001ab

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=sha256:46d11574386dd59c300be8c3fd012e500be1653e673d634983874cc1639d843d

Pith citing papers

No inbound Pith citation observations are available.