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Paper Citation Record · LEDGER

Gaps between consecutive untwisting numbers

As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.06447.

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

pith.paper-citation-record.v1
1908.06447 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:54.899739Z

measured 8 of 8 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

8 of 8 outbound references displayed

  • verified exact2
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 542180e1-fe8e-41dc-b5fa-80412d45b301 · outbound

This paper cites On the algebraic unknotting number.

Gaps between consecutive untwisting numbers On the algebraic unknotting number

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T12:56:54.866983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:56:54.866983Z digest=sha256:43d934f7058459ec65c15008f918f585ae7ee17b8884176cc29c0e67c4d48236

Observation a78c8bd0-8528-40fa-9880-16a4df34f5ac · outbound

This paper cites The unknotting number and classical invariants, I.

Gaps between consecutive untwisting numbers The unknotting number and classical invariants, I

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T12:56:54.871886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:56:54.871886Z digest=sha256:596f537cdbd37150539cbc8dc37f245c0f5190c7daa2affb9c7e21714d73302d

Observation 90554420-5a67-4384-bda0-2d3a220ad3e4 · outbound

This paper cites A note on the topological slice genus of satellite knots.

Gaps between consecutive untwisting numbers A note on the topological slice genus of satellite knots

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:56:55.033035Z

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=arxiv_source observed=2026-08-14T12:56:54.876119Z digest=sha256:905eaddee5efd062e9e32de53a0033c2f8f01d144713652a87f83404cf2fb22c

Observation e5a644c4-fed3-434e-a94b-e6d26291898d · outbound

This paper cites Bordered H eegaard F loer homology and the tau-invariant of cable knots.

Gaps between consecutive untwisting numbers Bordered H eegaard F loer homology and the tau-invariant of cable knots

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:55.090276Z

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=arxiv_source observed=2026-08-14T12:56:54.880878Z digest=sha256:4d893724686e46ca2b8c95b97db141318b02d107099e7d5283113980ac102811

Observation 7ce3df4e-da63-44b0-a349-c06c563f61a7 · outbound

This paper cites The untwisting number of a knot.

Gaps between consecutive untwisting numbers The untwisting number of a knot

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:55.076593Z

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=arxiv_source observed=2026-08-14T12:56:54.886064Z digest=sha256:f64832d930bb4fa096d894faff176593fdbbf7d34f1748ff136a50d676a56c6a

Observation 585ba29b-0c83-4276-a5c8-c6b949d55a69 · outbound

This paper cites Untwisting information from H eegaard F loer homology.

Gaps between consecutive untwisting numbers Untwisting information from H eegaard F loer homology

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:55.061978Z

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=arxiv_source observed=2026-08-14T12:56:54.890312Z digest=sha256:93b3d42c5953fb0ee05ea022c917e3595ff96326ecd8d15d21384c42df56db73

Observation 10c55ede-da06-4e4a-87d9-2a552550fc1b · outbound

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

Gaps between consecutive untwisting numbers Null-homologous twisting and the algebraic genus

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-14T12:56:55.012743Z

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=arxiv_source observed=2026-08-14T12:56:54.895099Z digest=sha256:263ac6e23670e8899a4092f28306fa51a86a52772fb63ba2c0ecda2cf2aba662

Observation 6e198b58-6bb3-4292-8ec0-1052c61cda37 · outbound

This paper cites Knot F loer homology and the four-ball genus.

Gaps between consecutive untwisting numbers Knot F loer homology and the four-ball genus

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:56:55.049176Z

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=arxiv_source observed=2026-08-14T12:56:54.899739Z digest=sha256:609f0a7896743a32065cde2b1b8438feae291960e6058a38c224a0bb4c8e418f

Pith citing papers

No inbound Pith citation observations are available.