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Paper Citation Record · LEDGER

A counterexample for the polar conjecture of Spencer-Brown

As of 7 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.22398.

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

pith.paper-citation-record.v1
2607.22398 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:55:10.806509Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved17
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b3560cc8-2995-4b6b-bb7a-5313d7a493e4 · outbound

This paper cites Appel and W.

A counterexample for the polar conjecture of Spencer-Brown Appel and W

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.734834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.734834Z digest=sha256:053adb13d05b889788e332454e75160cb17f28d488377a454993bfb8732f32ac

Observation 9cc70f98-47a5-481e-806b-0435175df44b · outbound

This paper cites Appel, W.

A counterexample for the polar conjecture of Spencer-Brown Appel, W

Reference 2

Resolution
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no resolver link, observed 2026-08-01T04:55:10.740278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.740278Z digest=sha256:5c31c858ec7ae34dfff736a2f4f040cf92fa277f8eb28e87a691e87c00150ff1

Observation 5db53d36-82d8-4c56-aca2-f4d63430292a · outbound

This paper cites Baldridge, L.

A counterexample for the polar conjecture of Spencer-Brown Baldridge, L

Reference 3

Resolution
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no resolver link, observed 2026-08-01T04:55:10.744566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.744566Z digest=sha256:03005c5053a4eae0cd399b1c8c23952aebdf0c1d8cf8ac6a9973526aa0425a50

Observation fd035756-c77f-4cc8-854e-d48d5ff52aae · outbound

This paper cites The 2-Factor Polynomial Detects Even Perfect Matchings.

A counterexample for the polar conjecture of Spencer-Brown The 2-Factor Polynomial Detects Even Perfect Matchings

Reference 4

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:55:10.748888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.748888Z digest=sha256:236a80c08843e46b8426531d8e5c76109c35ebc25a52fc51c46387741113d386

Observation a03a4caf-76ef-4661-a5e1-7bffe32b021b · outbound

This paper cites A topological quantum field theory approach to graph coloring.

A counterexample for the polar conjecture of Spencer-Brown A topological quantum field theory approach to graph coloring

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.754036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.754036Z digest=sha256:65bedad50a3d0c1dcefaa2cc6b1eef67876ccf2684596b6676fe11d20b5ee089

Observation 59da4f89-b811-4687-9536-1bfe5ba65fde · outbound

This paper cites A new way to prove configuration reducibility using gauge theory.

A counterexample for the polar conjecture of Spencer-Brown A new way to prove configuration reducibility using gauge theory

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.758925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.758925Z digest=sha256:95a8493b68c3fdfa8ee883ae8f64a0f711dde09b5a716bcd09c23b535e137316

Observation 148e15e2-d21c-4c62-8efb-0f8d56d851b8 · outbound

This paper cites Baldridge and B.

A counterexample for the polar conjecture of Spencer-Brown Baldridge and B

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.763310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.763310Z digest=sha256:6a6370565e07485a4c775e2f354be69866ff7f17d32e8b63cd9ce8c5d0fe0e57

Observation 1a4879eb-c456-4564-9918-9d3d29c272c2 · outbound

This paper cites Baldridge, L.

A counterexample for the polar conjecture of Spencer-Brown Baldridge, L

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.767090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.767090Z digest=sha256:9e0b71eca0487b7b172426f21a6f2669a33ec11306df344db2df634e81c4dea3

Observation 2f893e51-e7aa-4bc6-8230-f20fd0be0d4a · outbound

This paper cites an unresolved cited work.

A counterexample for the polar conjecture of Spencer-Brown Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.770992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.770992Z digest=sha256:ef4ec9f7f0d605e1beb0f2f0b3c3a712f1ea309c62dda0510bd3e348fa40b7a6

Observation cf4f2226-c6ea-4647-99c0-c2fd81e14cdb · outbound

This paper cites H.,A state calculus for graph coloring, Illinois Journal of Mathematics, Volume 60, Number 1, Spring 2016, pp 251-271 S 0019-2082 (Special Issue celebrating Wolfgang Haken).

A counterexample for the polar conjecture of Spencer-Brown H.,A state calculus for graph coloring, Illinois Journal of Mathematics, Volume 60, Number 1, Spring 2016, pp 251-271 S 0019-2082 (Special Issue celebrating Wolfgang Haken)

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.775156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.775156Z digest=sha256:b8caeb7f5680f40583baf483fb530e9b10deefbf92a0390edb399968f8e96088

Observation 07141c76-3acd-4a26-9ec3-2149ba18ce8c · outbound

This paper cites H.Map coloring and the vector cross product, J.

A counterexample for the polar conjecture of Spencer-Brown H.Map coloring and the vector cross product, J

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.779064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.779064Z digest=sha256:e3e3a48308c8b145adc0d45af5c929ea8d36768cec46a43d8a6dd4da39bd679f

Observation 34800331-e5e4-44a8-9684-a1fc1680efe1 · outbound

This paper cites Map Reformulation,.

A counterexample for the polar conjecture of Spencer-Brown Map Reformulation,

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.783127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.783127Z digest=sha256:9312c0dcfddec58c2c61807eb65f89390d6438234e15c51b6dbe8180765704f4

Observation 353c218b-d746-4739-ba66-4a087865a334 · outbound

This paper cites Reformulating the Map Color Theorem.

A counterexample for the polar conjecture of Spencer-Brown Reformulating the Map Color Theorem

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.787000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.787000Z digest=sha256:7f787e7db48d6f335ff20f2386ddb2cbf299d33b74bc460180afecf6df8c18df

Observation 18d629f1-0c57-44d9-a742-f0c043306293 · outbound

This paper cites A group of operations on a partially colored map, Bull.

A counterexample for the polar conjecture of Spencer-Brown A group of operations on a partially colored map, Bull

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.791158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.791158Z digest=sha256:373252bf3a063724e889f288212c894a5ad1d3979853807680200c6cc047b5b4

Observation 31f953d4-9415-410c-89c7-67916d5a221f · outbound

This paper cites an unresolved cited work.

A counterexample for the polar conjecture of Spencer-Brown Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.795401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.795401Z digest=sha256:d829fb9b1bf01d51ccb6712dfb1e594a40da9f7873308e03691bfb05d1a6293f

Observation 4eb118b0-d542-48d1-bd32-153ca812d1e4 · outbound

This paper cites an unresolved cited work.

A counterexample for the polar conjecture of Spencer-Brown Unresolved cited work

Reference 16

Resolution
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no resolver link, observed 2026-08-01T04:55:10.799287Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.799287Z digest=sha256:5ee4315307117f300e0dc27abd06e209a7dc6917ee008dd9267c567635624fa2

Observation 2027c8cd-2741-417a-bbf6-22981f5ffeaf · outbound

This paper cites an unresolved cited work.

A counterexample for the polar conjecture of Spencer-Brown Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.803023Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.803023Z digest=sha256:11222dbdfe6c9d48a85d86652918d79744d946afe81358ede9719795aaaeca62

Observation f64cee93-4c34-4aee-b9fc-fb0d13ff10f3 · outbound

This paper cites an unresolved cited work.

A counterexample for the polar conjecture of Spencer-Brown Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T04:55:10.806509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:55:10.806509Z digest=sha256:5a210819a7af456198a6c93f080a6c6a6a522672618bef20335aaa3432b652ad

Pith citing papers

No inbound Pith citation observations are available.