Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:25:12.635950Z
Paper Citation Record · LEDGER
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves
As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.05382.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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
Reference resolution
16 of 16 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bfc3c5e8-69d7-40b6-9cef-0289059a33d9 · outbound
This paper cites Math., 15(1992), 111–121.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Math., 15(1992), 111–121
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:13.020226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 79f983b7-f815-42d2-9696-e032976cd071 · outbound
This paper cites an unresolved cited work.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:25:12.999573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4ac67c96-1a1b-4d9e-bbc4-c1662b545615 · outbound
This paper cites Horiuchi, K.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Horiuchi, K
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.980697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 07506800-d6d9-433d-945a-d3707d54afc7 · outbound
This paper cites Hoste, Y.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Hoste, Y
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.961285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ded81573-6345-46b1-ae8f-49ad8e9bbe3b · outbound
This paper cites Horiuchi, Y.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Horiuchi, Y
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.937317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fb77d560-8174-446a-9781-2784bc25326c · outbound
This paper cites Hirasawa, Y.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Hirasawa, Y
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.913222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 94029203-80e3-4d13-a8cd-8ada1a745871 · outbound
This paper cites Kawauchi, On coefficient polynomials of the skein polynomial of an oriented link, Kobe J.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Kawauchi, On coefficient polynomials of the skein polynomial of an oriented link, Kobe J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.889520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d4fa25cd-254a-443f-b67b-d8f8a58d8acd · outbound
This paper cites an unresolved cited work.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:25:12.863699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 37a77bd1-8461-47a1-bd89-fa5544ccb69c · outbound
This paper cites an unresolved cited work.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:25:12.841462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 128706d9-0a47-4322-9649-9f1b2dcdffd8 · outbound
This paper cites an unresolved cited work.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:25:12.821640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d5b05069-1a0a-46bb-b75b-d0a1985701be · outbound
This paper cites an unresolved cited work.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:25:12.797889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 54a31256-17d8-47d6-a722-22c4bcf5d976 · outbound
This paper cites Murakami, Some metrics on classical knots,Math.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Murakami, Some metrics on classical knots,Math
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.777579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 56ddf64c-f88d-4215-b9f1-a3dfe58ee9fe · outbound
This paper cites Ohyama, The Ck-Gordian complex of knots, Journal of Knot Theory and Its Ramifications15(1) (2006) 73–80.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Ohyama, The Ck-Gordian complex of knots, Journal of Knot Theory and Its Ramifications15(1) (2006) 73–80
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.757146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation febdf067-4a00-4604-818a-511239ee9d47 · outbound
This paper cites Shimizu, Region crossing change is an unknotting operation,J.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Shimizu, Region crossing change is an unknotting operation,J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.737206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4b7d56c7-1975-4b0b-a970-ceac858dbac1 · outbound
This paper cites Zhang, Z.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Zhang, Z
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.711364Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f8cabd0d-fce9-46ed-82d1-73112cd332aa · outbound
This paper cites Zhang, Z.
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves Zhang, Z
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:12.686907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.