Paper Citation Record · LEDGER

On the Conjecture of the Representation Number of Bipartite Graphs

As of 9 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.01057.

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

pith.paper-citation-record.v1
2506.01057 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:01:55.281317Z

measured 10 of 10 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

10 of 10 outbound references displayed

verified exact1
verified fuzzy5
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4375c4ec-5a0c-491f-943e-d7acbf61ca2f · outbound

This paper cites Akg¨ un, I.

On the Conjecture of the Representation Number of Bipartite Graphs Akg¨ un, I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:01:56.841105Z

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.

Observation 36df2709-4385-438d-b00f-095e6fc18a64 · outbound

This paper cites Representation Number of Word-Representable Split Graphs.

On the Conjecture of the Representation Number of Bipartite Graphs Representation Number of Word-Representable Split Graphs

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:01:55.479187Z

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.

Observation 4837a9eb-6dce-49fc-94fa-b221814137fb · outbound

This paper cites an unresolved cited work.

On the Conjecture of the Representation Number of Bipartite Graphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:01:56.597749Z

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.

Observation 0e532d71-369e-468a-8a7f-e2400d6abb7f · outbound

This paper cites an unresolved cited work.

On the Conjecture of the Representation Number of Bipartite Graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:01:56.395689Z

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.

Observation bd81dd25-395f-4fb8-a269-f8e007483b93 · outbound

This paper cites Hefty, P.

On the Conjecture of the Representation Number of Bipartite Graphs Hefty, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:01:56.228898Z

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.

Observation 29c11c4a-df24-4fe3-acfd-6323062beda7 · outbound

This paper cites an unresolved cited work.

On the Conjecture of the Representation Number of Bipartite Graphs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T12:01:54.902877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c26fac78-fc8e-4733-968b-f791599028be · outbound

This paper cites Kitaev and V.

On the Conjecture of the Representation Number of Bipartite Graphs Kitaev and V

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:01:56.068824Z

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.

Observation 9b093332-16f3-4eb4-8496-757f22d236e8 · outbound

This paper cites Kitaev and A.

On the Conjecture of the Representation Number of Bipartite Graphs Kitaev and A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:01:55.073094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4458331e-1395-4886-9395-7868c762c6d8 · outbound

This paper cites Kitaev and S.

On the Conjecture of the Representation Number of Bipartite Graphs Kitaev and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:01:55.899773Z

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.

Observation efa4831c-38c3-47e2-9b12-41ea7e06cdce · outbound

This paper cites Mozhui and K.

On the Conjecture of the Representation Number of Bipartite Graphs Mozhui and K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:01:55.678825Z

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.

Pith citing papers

No inbound Pith citation observations are available.