Paper Citation Record · LEDGER

Region crossing change on nonorientable surfaces

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.05885.

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

pith.paper-citation-record.v1
2506.05885 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:30:13.817058Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:55:41.691651Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-04T20:55:41.736321Z

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy10
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 03be286b-5915-403e-b0d1-85298bbf3f54 · outbound

This paper cites Knot Theory Ramifications 21 (2012), no.

Region crossing change on nonorientable surfaces Knot Theory Ramifications 21 (2012), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:14.164397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 38a9dda2-3957-47e5-8f29-762d9d504570 · outbound

This paper cites an unresolved cited work.

Region crossing change on nonorientable surfaces Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:30:14.145295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 022e4b99-66cc-4506-b90d-8f9750f3975c · outbound

This paper cites an unresolved cited work.

Region crossing change on nonorientable surfaces Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:30:14.126047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fa242a8e-1feb-45f2-9791-601bafb7bf4a · outbound

This paper cites 3, 2289–2308.

Region crossing change on nonorientable surfaces 3, 2289–2308

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:14.107758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e0cb951b-f1dd-4b75-a504-784cd0f145d1 · outbound

This paper cites 7, 1487–1495.

Region crossing change on nonorientable surfaces 7, 1487–1495

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T10:30:13.746746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a72c4dd4-abf5-4ae5-9633-067672821309 · outbound

This paper cites an unresolved cited work.

Region crossing change on nonorientable surfaces Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:30:14.073814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bb30b6fc-3faa-4d10-acca-f2cff5b24bb4 · outbound

This paper cites Russell,Ineffective sets and the region crossing change operation, J.

Region crossing change on nonorientable surfaces Russell,Ineffective sets and the region crossing change operation, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:14.055007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 071519dc-1fb9-475d-b6cb-d0a4348747c8 · outbound

This paper cites Russell, Equivalence of edge bicolored graphs on surfaces, Electron.

Region crossing change on nonorientable surfaces Russell, Equivalence of edge bicolored graphs on surfaces, Electron

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:14.036749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7e80fe55-1400-42c9-8ccc-7dc0c7f92e5b · outbound

This paper cites Knot Theory Ramifications 24 (2015), no.

Region crossing change on nonorientable surfaces Knot Theory Ramifications 24 (2015), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:14.017641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 909e08eb-8328-4670-8f8d-afc010275f01 · outbound

This paper cites Knot Theory Ramifications 25 (2016), no.

Region crossing change on nonorientable surfaces Knot Theory Ramifications 25 (2016), no

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:14.000356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation df0dee8e-b96f-4c37-a305-c70d216ef708 · outbound

This paper cites Knot Theory Ram- ifications 30 (2021), no.

Region crossing change on nonorientable surfaces Knot Theory Ram- ifications 30 (2021), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:13.983620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e109f43c-cd13-41e8-93d7-6ef7f1ed1893 · outbound

This paper cites an unresolved cited work.

Region crossing change on nonorientable surfaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:30:13.963629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8d2c5773-edc7-4cc1-8712-86cccbbdba0e · outbound

This paper cites an unresolved cited work.

Region crossing change on nonorientable surfaces Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:30:13.944477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6608f435-9367-4aed-9fa4-d8f41305fd21 · outbound

This paper cites Knot Theory Ramifications 33 (2024), no.

Region crossing change on nonorientable surfaces Knot Theory Ramifications 33 (2024), no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:13.923620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ecd5a4b3-7f15-48de-8334-ee75770c4080 · outbound

This paper cites 4-5, 693–704.

Region crossing change on nonorientable surfaces 4-5, 693–704

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:13.903287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 49d8f3c7-e741-46b9-9654-be7da5f29b9e · outbound

This paper cites an unresolved cited work.

Region crossing change on nonorientable surfaces Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:30:13.886105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 170643e4-e98b-45ea-8ad3-11753ce7b41e · outbound

This paper cites Knot Theory Ramifications 29 (2020), no.

Region crossing change on nonorientable surfaces Knot Theory Ramifications 29 (2020), no

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:30:13.866486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 109843b0-ce0c-4020-be7e-74314741017b · inbound

When is arc crossing change an unknotting operation? cites this paper.

When is arc crossing change an unknotting operation? Region crossing change on nonorientable surfaces

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-04T20:55:41.741872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.