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Paper Citation Record · LEDGER

Local Certification of Vertex and Edge Connectivity

As of 9 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.13677.

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

pith.paper-citation-record.v1
2607.13677 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T04:40:15.709398Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

17 of 17 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 79fe7a86-566d-4bda-80c5-28acb3c9430a · outbound

This paper cites Alon and M.

Local Certification of Vertex and Edge Connectivity Alon and M

Reference 1

Resolution
verified exact
doi, observed 2026-08-02T04:43:29.018344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-02T04:40:14.010362Z digest=sha256:671871d311d032104799fbee5660821a210f6bad21d13321f53a1203be619d1f

Observation 2188299e-65bc-4214-84f1-4b959a20631a · outbound

This paper cites [Jae79] F.

Local Certification of Vertex and Edge Connectivity [Jae79] F

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:15.282839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:15.282839Z digest=sha256:8e13b48642fc2ad059e3ab075b91de034ff4a5c97e7250fa19971b5c1fed1760

Observation 62ca39f8-5abf-4215-a232-89258f830d4c · outbound

This paper cites Distributed minimum cut approximation.

Local Certification of Vertex and Edge Connectivity Distributed minimum cut approximation

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:14.875534Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.875534Z digest=sha256:83e51bc5c55a72ef329027a382a7d5d1aac0bf87afbb78f827e471c03e448ffb

Observation 44413140-f0de-413d-8522-4bd448508928 · outbound

This paper cites 1145/3519270.3538429.

Local Certification of Vertex and Edge Connectivity 1145/3519270.3538429

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:15.210380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:15.210380Z digest=sha256:312d2603a944f66da3c2ba332a332619e6fc31db667ce48e6914e56ac4ccb497

Observation fc368508-76cd-428c-8c69-8c734a7e7c26 · outbound

This paper cites Proof labeling schemes.

Local Certification of Vertex and Edge Connectivity Proof labeling schemes

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:15.382722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:15.382722Z digest=sha256:b75284c2044d6e5d497156db112cd0fa77b9ee67b6056d9dfb32a1b9caf48eac

Observation 46c41c3e-6596-4d4d-8767-8d7e38c69877 · outbound

This paper cites an unresolved cited work.

Local Certification of Vertex and Edge Connectivity Unresolved cited work

Reference 77

Resolution
malformed identifier
no resolver link, observed 2026-08-02T04:40:14.930797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.930797Z digest=sha256:416b5492f466f437390e39b0c7366140dc8155d91a9e64695341f0c0f20d262e

Observation ccd146bd-8f6f-4328-9d68-34c5c08ab887 · outbound

This paper cites A linear-time algorithm for finding a sparsek-connected spanning subgraph of ak-connected graph.Algorithmica, 7:583–596, 1992.url:https://api.semanticscholar.org/CorpusID:35970274.

Local Certification of Vertex and Edge Connectivity A linear-time algorithm for finding a sparsek-connected spanning subgraph of ak-connected graph.Algorithmica, 7:583–596, 1992.url:https://api.semanticscholar.org/CorpusID:35970274

Reference 1960

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:15.494131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:15.494131Z digest=sha256:4f8d51fe4d6299df9d433592241a3e35c37e68e89b7b662c7a85e1ac06dfc3c2

Observation 4782c89e-87b0-40a1-9f58-aaab7f2278dd · outbound

This paper cites [CPP20] Keren Censor-Hillel, Ami Paz, and Mor Perry.

Local Certification of Vertex and Edge Connectivity [CPP20] Keren Censor-Hillel, Ami Paz, and Mor Perry

Reference 1988

Resolution
malformed identifier
no resolver link, observed 2026-08-02T04:40:14.662821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.662821Z digest=sha256:1b328bf1296706869bec702fa1432e3c0a99c2052fe856a9ede9b3089b5c0999

Observation 0be37c5f-5ddb-4637-9788-60d5d4cf694a · outbound

This paper cites Locally checkable proofs in distributed computing.

Local Certification of Vertex and Edge Connectivity Locally checkable proofs in distributed computing

Reference 1991

Resolution
verified exact
doi, observed 2026-08-02T04:43:28.790203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-02T04:40:15.075736Z digest=sha256:04ff1e23186e8e09ea81ef72e9602910c948c9c5e914f17a9ad06ae5e6625c0a

Observation dec42174-a493-4f47-8d15-03e0c1cb98b2 · outbound

This paper cites Three tree-paths.Journal of Graph Theory, 13(2):175– 188, 1989.doi:https : / / doi.

Local Certification of Vertex and Edge Connectivity Three tree-paths.Journal of Graph Theory, 13(2):175– 188, 1989.doi:https : / / doi

Reference 1998

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:15.709398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:15.709398Z digest=sha256:711c8a4f53a6880e2f3ef3b1ba504a7d91ebd9664ed51480c0720c2c9b22f13d

Observation 31138d96-82cb-44eb-a344-06b761778f7a · outbound

This paper cites A tight meta-theorem for LOCAL certification of MSO 2 properties within bounded treewidth graphs.

Local Certification of Vertex and Edge Connectivity A tight meta-theorem for LOCAL certification of MSO 2 properties within bounded treewidth graphs

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:14.429275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.429275Z digest=sha256:eb0e3b25512ee40d5d0426f7489eeaf1edc3492ddec9108d6c58de617f11a46f

Observation 0cbb6239-29f2-4e6a-9fac-a943e9101c75 · outbound

This paper cites Algorithms for parallel k-vertex con- nectivity and sparse certificates.

Local Certification of Vertex and Edge Connectivity Algorithms for parallel k-vertex con- nectivity and sparse certificates

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:14.730236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.730236Z digest=sha256:fef5475cb9a75613a255b85982ba7fd6c52cfb9aceb0a2f21d8f945b908f417b

Observation f77508e1-55e0-4989-b23d-80fa03b7dc7b · outbound

This paper cites Almost-tight distributed minimum cut algo- rithms.

Local Certification of Vertex and Edge Connectivity Almost-tight distributed minimum cut algo- rithms

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:15.600367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:15.600367Z digest=sha256:234bb0d064d8fae21598f8cebb103f4a17edd6c5b5ebdadcf43ea51f564105f7

Observation 5a8269a8-9243-4ff4-9006-928fa7c8336e · outbound

This paper cites Compact distributed certification of planar graphs.

Local Certification of Vertex and Edge Connectivity Compact distributed certification of planar graphs

Reference 2022

Resolution
malformed identifier
no resolver link, observed 2026-08-02T04:40:14.782422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.782422Z digest=sha256:fec8050045e7e5ef43085a98a7607c00c7bed62d06515aba895375dd95745cd4

Observation bfd7c566-1021-4e21-adae-c34834d45b99 · outbound

This paper cites Tight bounds on vertex connectivity under sampling.ACM Trans.

Local Certification of Vertex and Edge Connectivity Tight bounds on vertex connectivity under sampling.ACM Trans

Reference 2024

Resolution
verified exact
doi, observed 2026-08-02T04:43:28.893255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-02T04:40:14.330324Z digest=sha256:a4b5084d25eac144e41c468cc110b731a691de7c2d2b187508a4a7b48e845a93

Observation 1135a008-1634-4ee8-a68c-88795b78e99d · outbound

This paper cites Local certification of graph decompositions and applications to minor-free classes.Journal of Parallel and Dis- tributed Computing, 193:104954, 2024.issn: 0743-7315.

Local Certification of Vertex and Edge Connectivity Local certification of graph decompositions and applications to minor-free classes.Journal of Parallel and Dis- tributed Computing, 193:104954, 2024.issn: 0743-7315

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:14.172646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.172646Z digest=sha256:35cbe69e3e498c107843d440a0742f860d0e30b31fea318773bd2d10a7a3eaaa

Observation 3f6e6814-4a1b-419e-ab4d-1ad1b01d082a · outbound

This paper cites The local complexity of certifying parity.

Local Certification of Vertex and Edge Connectivity The local complexity of certifying parity

Reference 2026

Resolution
unresolved
no resolver link, observed 2026-08-02T04:40:14.274726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:40:14.274726Z digest=sha256:93cf8f817443881e1ae90d52d5ee399f802fdef6e92b7fe457a492bb5d9206ff

Pith citing papers

No inbound Pith citation observations are available.