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Paper Citation Record · LEDGER

The local complexity of certifying parity

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2606.04934.

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

pith.paper-citation-record.v1
2606.04934 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T04:22:53.777865Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T04:40:14.274726Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fab6974-12c8-46ed-93de-4e4fb325f5d7 · outbound

This paper cites Optimal local certification on graphs of bounded pathwidth.

The local complexity of certifying parity Optimal local certification on graphs of bounded pathwidth

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-06-28T04:31:39.731146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:c60a80ff4d0284560cc4b1154c58b1b387771fba352184f6cac99371144dc42d

Observation df7e3091-f1c3-432d-bffd-d1770c187ea9 · outbound

This paper cites Local certification of forbidden subgraphs.

The local complexity of certifying parity Local certification of forbidden subgraphs

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:16:53.438553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:b051bdec26d0fdae2dd0f3c3d35a18633e13304ac45a07c8253ff1f1c5e2d56c

Observation fb8b28a4-a257-4275-9c44-ccd5db7b5cc4 · outbound

This paper cites Local certification of forbidden subgraphs.

The local complexity of certifying parity Local certification of forbidden subgraphs

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T04:31:39.735835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:519441c5707c8af490f199a6e4f7d46b9c9314a80f2ada1b566dca81250361ff

Observation f06449b2-8409-450c-afbb-5cac0a70b585 · outbound

This paper cites 5 Nicolas Bousquet, Laurent Feuilloley, and Sébastien Zeitoun.

The local complexity of certifying parity 5 Nicolas Bousquet, Laurent Feuilloley, and Sébastien Zeitoun

Reference 4

Resolution
verified exact
doi, observed 2026-06-28T04:31:39.737732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:8f0562397ceb2c23c49abc0ffd325976a56e4cf1d699d37e949e86165f28f029

Observation beacfe74-ee76-4376-bd8e-7c07db3065a2 · outbound

This paper cites Local Certification of Local Properties: Tight Bounds, Trade-Offs, and New Parameters , journal =.

The local complexity of certifying parity Local Certification of Local Properties: Tight Bounds, Trade-Offs, and New Parameters , journal =

Reference 5

Resolution
metadata mismatch
doi, observed 2026-06-28T04:31:39.719210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:c6732f92fef848a03a6a3d9ba803ecb45768376dcbeb1da8613cc1610f3798ee

Observation ad0892cf-5673-4556-8ff5-77f1e2b5d0c3 · outbound

This paper cites 7 LindaCook, EunJungKim, andTomásMasarík.

The local complexity of certifying parity 7 LindaCook, EunJungKim, andTomásMasarík

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-28T04:31:39.732647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:f164bb8d3af862bcd49c8e6bb8bf68c4322edd7d7e165b633db4d34bcb4dca1b

Observation 39acd43b-6fe6-4459-9e62-ec87aadba24e · outbound

This paper cites 8 Laurent Feuilloley.

The local complexity of certifying parity 8 Laurent Feuilloley

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-06-28T04:31:39.721786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:f56c41ac793d15717d116bc884847a3066ec9a38a56f795341472e323ac025f6

Observation f0e45466-8e84-45f4-9652-e5b615e5dbfb · outbound

This paper cites 9 Laurent Feuilloley, Nicolas Bousquet, and Théo Pierron.

The local complexity of certifying parity 9 Laurent Feuilloley, Nicolas Bousquet, and Théo Pierron

Reference 8

Resolution
verified exact
doi, observed 2026-06-28T04:31:39.723438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:2676e656855ab991c0c1ecb968c926b1aa36c23474c6acef6784e33251289103

Observation 61216f5f-1beb-4626-9d82-a99b38154aaf · outbound

This paper cites 1007/S00453-021-00823-W.

The local complexity of certifying parity 1007/S00453-021-00823-W

Reference 9

Resolution
verified exact
doi, observed 2026-06-28T04:31:39.725123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:96e1c9ded2abb4b11cb8f249e58862bafa1354f4f81fe5ecced5e0dc6f9ab3ca

Observation 49faf6c4-938d-4c65-a123-8dbaab2f44cd · outbound

This paper cites 12 Arnold Filtser and Orr Fischer.

The local complexity of certifying parity 12 Arnold Filtser and Orr Fischer

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:16:53.440465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:3fd03ca47ff11d21b8a9c34580d3815ac96ba670d15c06a758717cc33b87b3df

Observation b4e0fc7d-e556-452f-9c8f-15bf0a978f4f · outbound

This paper cites Near-Resolution of the Tradeoff Conjecture in Distributed Proof Labeling Schemes.

The local complexity of certifying parity Near-Resolution of the Tradeoff Conjecture in Distributed Proof Labeling Schemes

Reference 11

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T11:16:53.442062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:ccb1eeaecc63b6cf402dd408e87a20ba21252ca8932103efadd2acd566e1137a

Observation 1f9a2635-59cb-495e-824e-6785a56e6b6c · outbound

This paper cites 14 Pierre Fraigniaud, Pedro Montealegre, Ivan Rapaport, and Ioan Todinca.

The local complexity of certifying parity 14 Pierre Fraigniaud, Pedro Montealegre, Ivan Rapaport, and Ioan Todinca

Reference 12

Resolution
verified exact
doi, observed 2026-06-28T04:31:39.727981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:e852d573c0cf0a7b09471cdc20af87b0be9799e40ccecffb1a7b5750b63fb9dc

Observation 629e6832-7602-49c4-b1c2-6111fbc57237 · outbound

This paper cites 1007/s00453-023-01185-1,doi:10.1007/S00453-023-01185-1.

The local complexity of certifying parity 1007/s00453-023-01185-1,doi:10.1007/S00453-023-01185-1

Reference 13

Resolution
verified exact
doi, observed 2026-06-28T04:31:39.729866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:918d56dc7dcd030533e55314c843a01a48ecd337f5b2a06d7f84bf9db5238979

Observation e6c9f18d-54bf-4f55-a961-f9e7b250a467 · outbound

This paper cites 19 Moni Naor and Larry J.

The local complexity of certifying parity 19 Moni Naor and Larry J

Reference 14

Resolution
verified exact
doi, observed 2026-06-28T04:31:39.726170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T04:22:53.777865Z digest=sha256:8cd3284eb6d465d24762d160b839387ce82c592dc4b6e15c8733fee5ae34bac9

Pith citing papers

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

Local Certification of Vertex and Edge Connectivity cites this paper.

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=sha256:447d0503021054180a9417558ff10e2627d5d2d52bf0c9170b920cc7feebd04a