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Paper Citation Record · LEDGER

Region crossing change on surfaces

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.

pith.paper-citation-record.v1
1908.06864 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:41:26.952164Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45b894ce-8219-4996-80ef-326c10a9005b · outbound

This paper cites Knot Theory Ramifica- tions 21 (2012), no.

Region crossing change on surfaces Knot Theory Ramifica- tions 21 (2012), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.174924Z

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=pdf_text observed=2026-08-14T12:41:26.888809Z digest=sha256:84bceae54983b72d3b918b2beab9bf009c9ada88cd11f798ea526363dbbe454a

Observation a5941f4c-ab89-4f8c-a431-f562c08aa957 · outbound

This paper cites Aida, Unknotting operation for Polygonal type , Tokyo J.

Region crossing change on surfaces Aida, Unknotting operation for Polygonal type , Tokyo J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.159848Z

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=pdf_text observed=2026-08-14T12:41:26.894056Z digest=sha256:0efbdcfdbc7304080f10c154a6c1c5a13c38d7239ffa29fb666f0699519cbb6a

Observation e03029be-a0c8-4958-828d-a8da54699f90 · outbound

This paper cites 7, 1487–1495.

Region crossing change on surfaces 7, 1487–1495

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T12:41:26.898344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:41:26.898344Z digest=sha256:162f09301f956a5919ba4b59c04b7e63ec9f25e22d7494329cf0fa74d3fc4a21

Observation 43c97a9f-042e-476e-ba24-02ec3e129e5c · outbound

This paper cites 6, 1219–1230.

Region crossing change on surfaces 6, 1219–1230

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.139968Z

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=pdf_text observed=2026-08-14T12:41:26.903043Z digest=sha256:52b21fd07e148e331b91178ef641552c4a6440e6b9a08366957abb8a45a681f0

Observation 7288f1db-b2d7-4cab-bf13-f22d82d9525b · outbound

This paper cites an unresolved cited work.

Region crossing change on surfaces Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T12:41:26.907206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:41:26.907206Z digest=sha256:80408fecc131a0507a415f87a8e58f092a26f83bd7092ebbcaa86a9ca68c01c8

Observation 9e35278a-1601-4022-9a10-4135664bfdcd · outbound

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

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

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.118389Z

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=pdf_text observed=2026-08-14T12:41:26.911344Z digest=sha256:a81d1d42ad29212ba94fee4519b2a4073b18a8af9bf70a23353bc194de2b991b

Observation 5ef1deac-99ee-4db9-ac2d-7d2f67f74b9f · outbound

This paper cites 207, Springer-V erlag, New York, 2001.

Region crossing change on surfaces 207, Springer-V erlag, New York, 2001

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.101891Z

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=pdf_text observed=2026-08-14T12:41:26.916137Z digest=sha256:0439b4058685fff7d3b339d8fbcf6a3f3554d76de85e0257f7d82ae2494c7d7e

Observation f7adb895-520e-4e5d-94ff-11a3e3d0d678 · outbound

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

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

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.083453Z

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=pdf_text observed=2026-08-14T12:41:26.920459Z digest=sha256:fee57f846e3bc66e19228dee18dab075dde4f06e06980fd819c2fef5438e56ab

Observation e3c92c9c-d68a-4c8e-8180-32313063e13a · outbound

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

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

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.069214Z

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=pdf_text observed=2026-08-14T12:41:26.924754Z digest=sha256:871e955dedec60d84220ad2be280d3b0b760b5100b857cacb7015a15ec85bf77

Observation 692eda00-c416-4d4c-9fff-56c0c7e01aca · outbound

This paper cites Murakami, Some metrics on classical knots , Math.

Region crossing change on surfaces Murakami, Some metrics on classical knots , Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.054722Z

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=pdf_text observed=2026-08-14T12:41:26.929440Z digest=sha256:e80f1d65f0f767cab069d9548ef7ed62aa24125d32c4a508648479f09ce52025

Observation 2884b1ba-335d-4aa6-ae7e-a2791db0b0d7 · outbound

This paper cites Murakami and Y.

Region crossing change on surfaces Murakami and Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.041570Z

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=pdf_text observed=2026-08-14T12:41:26.935047Z digest=sha256:7b210e1e36ac2337b08a97a6f2a22fd69b30e517f7e8547bb083d2b615e2067b

Observation 6f04918d-22f4-48db-894c-d1c964e1355e · outbound

This paper cites 4-5, 693–704.

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

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T12:41:26.939224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:41:26.939224Z digest=sha256:2e7f541057537fb6f7613ec9da956d08f8ec7593e6a20cc805e0de92388c023e

Observation dc3be2ae-c90e-484a-8150-83266a688100 · outbound

This paper cites an unresolved cited work.

Region crossing change on surfaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:41:27.018655Z

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=pdf_text observed=2026-08-14T12:41:26.943434Z digest=sha256:03d3cffcd8cc36f92fec9c4a5fd6d8200910f836016adc591901d0e4154a7b36

Observation b8682c00-0c5f-47d7-b30e-581a98bf07b1 · outbound

This paper cites Knot Theory Ramifica- tions 24 (2015), no.

Region crossing change on surfaces Knot Theory Ramifica- tions 24 (2015), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:41:27.004700Z

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=pdf_text observed=2026-08-14T12:41:26.948186Z digest=sha256:9ab873052d896a2d3866be1f8f932ba61b0b8117ca204b4f8e4e5cc0ba09f324

Observation 16584841-c157-4f49-8e27-428bc5894ffe · outbound

This paper cites an unresolved cited work.

Region crossing change on surfaces Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:41:26.990352Z

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=pdf_text observed=2026-08-14T12:41:26.952164Z digest=sha256:b06ec44252a91282d6317d8083b3651e00f91259669d390ec6dd6c87208ad4da

Pith citing papers

No inbound Pith citation observations are available.