Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:41:26.952164Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.06864.
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 2026-08-14T12:41:26.952164Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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
15 of 15 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 45b894ce-8219-4996-80ef-326c10a9005b · outbound
Region crossing change on surfaces Knot Theory Ramifica- tions 21 (2012), no
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a5941f4c-ab89-4f8c-a431-f562c08aa957 · outbound
Region crossing change on surfaces Aida, Unknotting operation for Polygonal type , Tokyo J
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e03029be-a0c8-4958-828d-a8da54699f90 · outbound
Region crossing change on surfaces 7, 1487–1495
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43c97a9f-042e-476e-ba24-02ec3e129e5c · outbound
Region crossing change on surfaces 6, 1219–1230
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7288f1db-b2d7-4cab-bf13-f22d82d9525b · outbound
Region crossing change on surfaces Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e35278a-1601-4022-9a10-4135664bfdcd · outbound
Region crossing change on surfaces Russell, Equivalence of edge bicolored graphs on surfaces , Electron
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5ef1deac-99ee-4db9-ac2d-7d2f67f74b9f · outbound
Region crossing change on surfaces 207, Springer-V erlag, New York, 2001
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f7adb895-520e-4e5d-94ff-11a3e3d0d678 · outbound
Region crossing change on surfaces Knot Theory Ramifications 24 (2015), no
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e3c92c9c-d68a-4c8e-8180-32313063e13a · outbound
Region crossing change on surfaces Knot Theory Ramifications 25 (2016), no
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 692eda00-c416-4d4c-9fff-56c0c7e01aca · outbound
Region crossing change on surfaces Murakami, Some metrics on classical knots , Math
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2884b1ba-335d-4aa6-ae7e-a2791db0b0d7 · outbound
Region crossing change on surfaces Murakami and Y
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6f04918d-22f4-48db-894c-d1c964e1355e · outbound
Region crossing change on surfaces 4-5, 693–704
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc3be2ae-c90e-484a-8150-83266a688100 · outbound
Region crossing change on surfaces Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b8682c00-0c5f-47d7-b30e-581a98bf07b1 · outbound
Region crossing change on surfaces Knot Theory Ramifica- tions 24 (2015), no
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 16584841-c157-4f49-8e27-428bc5894ffe · outbound
Region crossing change on surfaces Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
No inbound Pith citation observations are available.