Paper Citation Record · LEDGER

Critical edge sets in vertex-critical graphs

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2508.08703.

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

pith.paper-citation-record.v1
2508.08703 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:28:15.613485Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T23:30:59.178810Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T22:29:00.926166Z

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy13
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation be65b266-7671-41d7-bfca-693451d3297e · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:23.633592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f7898de8-a2ed-4c53-9076-f71e11d9f2f0 · outbound

This paper cites Zhang, Z.

Critical edge sets in vertex-critical graphs Zhang, Z

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:23.353217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ee9abf09-8291-4500-a06d-085f2eebaf46 · outbound

This paper cites Zhang, Y.

Critical edge sets in vertex-critical graphs Zhang, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:23.168866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c02a86b9-30b6-4585-88de-66dee1886d4e · outbound

This paper cites Zhang, Z.

Critical edge sets in vertex-critical graphs Zhang, Z

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:22.917819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 69a3c5d8-dbf2-4462-b1b5-3409ca67ffe2 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:22.714770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1b822c8e-d0c0-44da-9bed-db45417b1fd8 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:22.455249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fb3de4f7-0d3b-4a7a-afcf-005da5cf22f4 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:22.225365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f14af211-9674-4627-84b2-9f94ba2fc048 · outbound

This paper cites Zhang, Y.

Critical edge sets in vertex-critical graphs Zhang, Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:21.890573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4fe4df98-c8bc-4351-9e6e-e783e744d945 · outbound

This paper cites Ronneberger, P.

Critical edge sets in vertex-critical graphs Ronneberger, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:21.769221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bd76aa40-ccea-4296-a616-4d53f4bbc6e3 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:21.664751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a4d6396d-c62a-45b3-abf8-01013e0cdb23 · outbound

This paper cites Distance Map Loss Penalty Term for Semantic Segmentation.

Critical edge sets in vertex-critical graphs Distance Map Loss Penalty Term for Semantic Segmentation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T21:28:12.663955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e14ded7-9e3c-4010-ac7e-06e0ff81781d · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:21.594744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bd251ece-d87f-4562-aa67-29afaf38c1a5 · outbound

This paper cites Zhong, J.

Critical edge sets in vertex-critical graphs Zhong, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:21.540554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a74b1111-41ee-472d-89cd-1bd651072da1 · outbound

This paper cites Patra, R.

Critical edge sets in vertex-critical graphs Patra, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:21.500833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad3a13ca-d859-4a84-9fd4-98ac59aac3a3 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:21.474753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0e1e1a24-2e19-4908-9f3e-721cddb4b103 · outbound

This paper cites VSR-Net: Vessel-like Structure Rehabilitation Network with Graph Clustering.

Critical edge sets in vertex-critical graphs VSR-Net: Vessel-like Structure Rehabilitation Network with Graph Clustering

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T21:28:16.004086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9935a96-35a5-4a20-b5ef-e6c726a94309 · outbound

This paper cites Landman, Z.

Critical edge sets in vertex-critical graphs Landman, Z

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:21.274788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 33b0917a-2827-4ed8-8152-56b8ed913c07 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:21.057623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 38d2f78e-092c-4f22-abf7-d72bd87aa2f5 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:20.821876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 09596422-ea38-4bfa-aaf3-ddc18bfc5040 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:20.470326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3a88d14d-29cd-4840-b992-2f5945f59183 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:20.199114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 64796a2d-f036-4984-b43f-bfcfa42bbd95 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:19.900984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 213e541d-55a5-4cb8-aefa-b8e72643daa0 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:19.604762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d4b94c23-1d8e-4904-a5f4-d612ac848e9c · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:19.380640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ce8ba735-dccd-48d5-8020-cb9f9f0f2123 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:19.072662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 00b2a218-1d07-4522-b9b3-955b4d364b91 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:18.865407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80e2bc6d-479f-46ce-a272-8211dae12008 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:18.645514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dea4627d-5a00-40e6-8fe9-1fccba967f43 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:18.372406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52be1ca1-13d5-462a-8c15-31dc76fa10c2 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:18.208294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0600e1d9-d59b-42f5-a3a1-d1548553e267 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:18.034745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 28f55c15-c295-4232-8fea-61ac11f2f8f6 · outbound

This paper cites Fausto Milletari, A.

Critical edge sets in vertex-critical graphs Fausto Milletari, A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:17.786778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6ed72f27-0d30-46ad-aecc-f4acc90f9702 · outbound

This paper cites Petit, N.

Critical edge sets in vertex-critical graphs Petit, N

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:17.594748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1e006573-9ea1-413d-a56a-26f7dcc6e810 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:17.307479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 91047b11-04ce-4925-8d72-6c5f0f6c3762 · outbound

This paper cites El Jurdi, C.

Critical edge sets in vertex-critical graphs El Jurdi, C

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:17.014749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d3553b79-ad34-44e0-86da-c2240df677b6 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:16.812507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 96e2ddd4-afa4-4484-9c9e-fdc95f803d03 · outbound

This paper cites Abraham, N.

Critical edge sets in vertex-critical graphs Abraham, N

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:16.653204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4dd8a067-913e-40a8-b8b1-20d1d32ac791 · outbound

This paper cites an unresolved cited work.

Critical edge sets in vertex-critical graphs Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:28:16.434906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f427c4ed-2998-4c1c-a4ab-2f80f9b9dedd · outbound

This paper cites TransUNet: Transformers Make Strong Encoders for Medical Image Segmentation.

Critical edge sets in vertex-critical graphs TransUNet: Transformers Make Strong Encoders for Medical Image Segmentation

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-05T21:28:15.419988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91493f5e-582a-4a56-b224-6f5d03133874 · outbound

This paper cites Zhang, Z.

Critical edge sets in vertex-critical graphs Zhang, Z

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:28:16.245483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b9a74f24-0ae2-409f-98af-72701875aae4 · outbound

This paper cites SGDR: Stochastic Gradient Descent with Warm Restarts.

Critical edge sets in vertex-critical graphs SGDR: Stochastic Gradient Descent with Warm Restarts

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T21:28:15.613485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e17ef711-71b9-458c-b9c7-41ba80258689 · inbound

Exact 6-cut rigidity and small-order superconnectivity for the 6-regular case of Dirac's k=4 problem cites this paper.

Exact 6-cut rigidity and small-order superconnectivity for the 6-regular case of Dirac's k=4 problem Critical edge sets in vertex-critical graphs

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-03T22:29:00.927897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.