Paper Citation Record · LEDGER

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0

As of 15 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.08534.

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

pith.paper-citation-record.v1
1908.08534 v7

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:44:25.822438Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

8 of 8 outbound references displayed

verified exact1
verified fuzzy2
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20b4a54f-33ac-4ddb-845c-60b6ee3b20f7 · outbound

This paper cites an unresolved cited work.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:44:26.148297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e2d891d-c365-4293-82ea-bea4930a2657 · outbound

This paper cites an unresolved cited work.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:44:26.132044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1b549760-4780-41b2-8c38-b058bd3df991 · outbound

This paper cites Du and B.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Du and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:44:26.116583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba8d3349-5f49-4300-b374-cdd54cb6b00a · outbound

This paper cites an unresolved cited work.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:44:26.102343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6888defe-a62a-4714-bf78-75842306e450 · outbound

This paper cites Helmberg and V.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Helmberg and V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:44:26.087876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61ac536f-9d32-4baf-9da6-2b7c886d9107 · outbound

This paper cites an unresolved cited work.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:44:26.073384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4c31a711-65cd-498b-a533-e0341ef10920 · outbound

This paper cites an unresolved cited work.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Unresolved cited work

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-14T11:44:26.057423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3c7c5bbd-2535-4d48-acbd-9aacbbc8e040 · outbound

This paper cites Brouwer's conjecture holds asymptotically almost surely.

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0 Brouwer's conjecture holds asymptotically almost surely

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T11:44:25.822438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.