Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:54.899739Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:54.899739Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
8 of 8 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 542180e1-fe8e-41dc-b5fa-80412d45b301 · outbound
Gaps between consecutive untwisting numbers On the algebraic unknotting number
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a78c8bd0-8528-40fa-9880-16a4df34f5ac · outbound
Gaps between consecutive untwisting numbers The unknotting number and classical invariants, I
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90554420-5a67-4384-bda0-2d3a220ad3e4 · outbound
Gaps between consecutive untwisting numbers A note on the topological slice genus of satellite knots
Reference 3
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.
Observation e5a644c4-fed3-434e-a94b-e6d26291898d · outbound
Gaps between consecutive untwisting numbers Bordered H eegaard F loer homology and the tau-invariant of cable knots
Reference 4
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.
Observation 7ce3df4e-da63-44b0-a349-c06c563f61a7 · outbound
Gaps between consecutive untwisting numbers The untwisting number of a knot
Reference 5
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.
Observation 585ba29b-0c83-4276-a5c8-c6b949d55a69 · outbound
Gaps between consecutive untwisting numbers Untwisting information from H eegaard F loer homology
Reference 6
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.
Observation 10c55ede-da06-4e4a-87d9-2a552550fc1b · outbound
Gaps between consecutive untwisting numbers Null-homologous twisting and the algebraic genus
Reference 7
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.
Observation 6e198b58-6bb3-4292-8ec0-1052c61cda37 · outbound
Gaps between consecutive untwisting numbers Knot F loer homology and the four-ball genus
Reference 8
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.
No inbound Pith citation observations are available.