Paper Citation Record · LEDGER

Characterization of Word-Representable Graphs using Modular Decomposition

As of 23 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2412.17648.

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

pith.paper-citation-record.v1
2412.17648 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:25:59.044751Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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 exact0
verified fuzzy2
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e32cd01f-ce12-4727-acab-75755bbcf592 · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:26:01.484838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 05dcd1dd-66d1-41cb-a49e-75b15d9c01de · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.364855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20384723-11a5-4142-9a98-44159e58f81f · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:26:01.296596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation df844523-40fc-4ad1-8375-2e5878493b69 · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:26:01.193328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2a653d4a-ffdf-456f-89ca-fb3c95ace683 · outbound

This paper cites Habib and C.

Characterization of Word-Representable Graphs using Modular Decomposition Habib and C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:26:00.994749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0b24844d-7490-4d9c-b3e4-c677b8d3ad00 · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:26:00.884848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3fcf66ac-3fd5-4639-ac0a-846174ab2d37 · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:26:00.744746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b44e31f9-7e3a-43eb-80b1-842ee403c4c7 · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.604796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ea8f9c6-f16a-468f-a613-34ffd14893da · outbound

This paper cites Kitaev and V.

Characterization of Word-Representable Graphs using Modular Decomposition Kitaev and V

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.644847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d1ce0f7-5485-431e-aa98-aa370bc3cad6 · outbound

This paper cites Kitaev and A.

Characterization of Word-Representable Graphs using Modular Decomposition Kitaev and A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.684755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2f035a4-39fd-4626-b316-9259db0ae090 · outbound

This paper cites Kitaev and S.

Characterization of Word-Representable Graphs using Modular Decomposition Kitaev and S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.734842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1ec19bf-dfca-412d-ba76-9e72e1f3d37e · outbound

This paper cites Kitaev and H.

Characterization of Word-Representable Graphs using Modular Decomposition Kitaev and H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:26:00.106149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 02146fb2-e9f6-4a6b-98c5-70b39ce368b1 · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:25:59.914969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 80d94955-4562-4c72-80ae-1d85f98ba65a · outbound

This paper cites an unresolved cited work.

Characterization of Word-Representable Graphs using Modular Decomposition Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:25:59.764847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e99dd452-aff5-4ebd-9854-ab9cfbcc20ca · outbound

This paper cites Words for the Graphs with Permutation-Representation Number at most Three.

Characterization of Word-Representable Graphs using Modular Decomposition Words for the Graphs with Permutation-Representation Number at most Three

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.944751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f178421-6f0b-4fc0-8a2f-2072e256186e · outbound

This paper cites On the Permutation-Representation Number of Bipartite Graphs using Neighborhood Graphs.

Characterization of Word-Representable Graphs using Modular Decomposition On the Permutation-Representation Number of Bipartite Graphs using Neighborhood Graphs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:58.994756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c462a7bc-5974-46d7-8e97-22fb60fab16b · outbound

This paper cites Yannakakis.

Characterization of Word-Representable Graphs using Modular Decomposition Yannakakis

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T05:25:59.044751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.