Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T15:13:04.334105Z
Paper Citation Record · LEDGER
Reductions in local certification
As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2502.01551.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact1
- verified fuzzy19
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 310929e5-7771-41a2-b87a-856ab6b36fb3 · outbound
This paper cites Local certification of forbidden subgraphs.
Reductions in local certification Local certification of forbidden subgraphs
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T15:13:04.258565Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed7bb3df-a63b-44ae-889e-cbf8068e9e30 · outbound
This paper cites Renaming in distributed certification.
Reductions in local certification Renaming in distributed certification
Reference 2
- Resolution
- verified exact
- raw_fallback, observed 2026-08-09T15:13:04.414180Z
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 b7ed8c38-cc90-43ff-8ad1-7cdd141d2521 · outbound
This paper cites Kirkpatrick.
Reductions in local certification Kirkpatrick
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.615088Z
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 66dbb0a7-1586-4c13-a00a-7f48891994df · outbound
This paper cites Local certification of geometric graph classes.
Reductions in local certification Local certification of geometric graph classes
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.606069Z
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 e360a3e2-35f9-4881-ba95-c25557f20d77 · outbound
This paper cites On the power of the congested clique model.
Reductions in local certification On the power of the congested clique model
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.598040Z
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 cf0fc548-e1e7-4600-b8e8-ca4d2d7bd09f · outbound
This paper cites Uniquely colourable graphs and the hardness of colouring graphs of large girth.Comb.
Reductions in local certification Uniquely colourable graphs and the hardness of colouring graphs of large girth.Comb
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.589788Z
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 96031614-9c5c-4c95-aa14-764a7fcb3a84 · outbound
This paper cites Local certification of graphs on surfaces.Theoretical Computer Science, 909:68–75, 2022.
Reductions in local certification Local certification of graphs on surfaces.Theoretical Computer Science, 909:68–75, 2022
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.580728Z
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 38c6e9fc-2bc6-4162-a24e-7d996f798589 · outbound
This paper cites Introduction to local certification.Discret.
Reductions in local certification Introduction to local certification.Discret
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.570540Z
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 d0caef43-e6d2-443e-9b28-ab6fce62ed6d · outbound
This paper cites What can be certified compactly? Compact local certification of MSO properties in tree-like graphs.
Reductions in local certification What can be certified compactly? Compact local certification of MSO properties in tree-like graphs
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.561074Z
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 de6ff229-2a08-4c73-b684-c6f36dac566e · outbound
This paper cites Compact distributed certification of planar graphs.Algorithmica, 83(7):2215– 2244, 2021.
Reductions in local certification Compact distributed certification of planar graphs.Algorithmica, 83(7):2215– 2244, 2021
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.552525Z
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 6c69b0ce-c0b5-4011-9722-80e9631ad86a · outbound
This paper cites Discrete Applied Mathematics, 325:9–36, 2023.
Reductions in local certification Discrete Applied Mathematics, 325:9–36, 2023
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.544365Z
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 f0ed96a6-33f4-4ab9-846f-f51eae5efa0c · outbound
This paper cites Distributed certification for classes of dense graphs.
Reductions in local certification Distributed certification for classes of dense graphs
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.535102Z
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 383dd813-e6f7-4a17-91c0-62e55f5f18dc · outbound
This paper cites A meta-theorem for distributed certification.
Reductions in local certification A meta-theorem for distributed certification
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.525508Z
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 07c566fa-a7df-4ae4-be1a-bb21a4f0db88 · outbound
This paper cites Garey, David S.
Reductions in local certification Garey, David S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.516376Z
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 993c6df2-fd5c-4475-9948-98c30724980e · outbound
This paper cites Locally checkable proofs in distributed computing.Theory Comput., 12(1):1–33, 2016.
Reductions in local certification Locally checkable proofs in distributed computing.Theory Comput., 12(1):1–33, 2016
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.508563Z
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 0bc51e84-b043-4b97-9daf-fa9a81aebb15 · outbound
This paper cites Representing graphs by disks and balls (a survey of recognition-complexity results).
Reductions in local certification Representing graphs by disks and balls (a survey of recognition-complexity results)
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.499590Z
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 97051075-bcb2-45d3-821a-50ec46add7f3 · outbound
This paper cites The NP-completeness of edge-coloring.SIAM J.
Reductions in local certification The NP-completeness of edge-coloring.SIAM J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.489477Z
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 7eb314f0-7c75-4f55-8d04-bb0502bb9960 · outbound
This paper cites Colouring graphs when the number of colours is almost the maximum degree.
Reductions in local certification Colouring graphs when the number of colours is almost the maximum degree
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.480957Z
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 7ee601d9-311b-44db-8727-1a02527f7f8d · outbound
This paper cites The power of distributed verifiers in interactive proofs.
Reductions in local certification The power of distributed verifiers in interactive proofs
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.471925Z
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 2e666788-d137-4280-aece-6ebb37e2f1f5 · outbound
This paper cites Papadimitriou.
Reductions in local certification Papadimitriou
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.461619Z
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 718568f6-9e6a-4879-aeb8-00580ed82ec3 · outbound
This paper cites Introduction to the theory of computation.
Reductions in local certification Introduction to the theory of computation
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:13:04.451588Z
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 30ffbbd8-2532-4d5a-8357-c3898d5ce476 · outbound
This paper cites an unresolved cited work.
Reductions in local certification Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:13:04.441232Z
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 f6215e9f-9b55-446e-8420-d627b04cd409 · outbound
This paper cites an unresolved cited work.
Reductions in local certification Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:13:04.431629Z
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
No inbound Pith citation observations are available.