Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T07:05:35.610394Z
Paper Citation Record · LEDGER
New relations for the vertex polynomial
As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.27488.
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 2026-08-07T06:34:17.273281+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 exact0
- verified fuzzy0
- unresolved22
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ccb76422-b9fc-4e90-bf4f-7c34497ea016 · outbound
This paper cites Aigner, The Penrose polynomial of a plane graph , Mathematische Annalen, 307, 173-189, 1997.
New relations for the vertex polynomial Aigner, The Penrose polynomial of a plane graph , Mathematische Annalen, 307, 173-189, 1997
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.002708Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e992e71-6ef0-4c74-9f62-143e58f02215 · outbound
This paper cites A Cohomology Theory for Planar Trivalent Graphs with Perfect Matchings.
New relations for the vertex polynomial A Cohomology Theory for Planar Trivalent Graphs with Perfect Matchings
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.083876Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 439b05cb-daa2-4dff-a4aa-296413578850 · outbound
This paper cites Baldridge, L.
New relations for the vertex polynomial Baldridge, L
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.202209Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd42bdd6-7869-4447-aa5d-8d6097d990ff · outbound
This paper cites The 2-Factor Polynomial Detects Even Perfect Matchings.
New relations for the vertex polynomial The 2-Factor Polynomial Detects Even Perfect Matchings
Reference 4
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-01T07:05:34.260171Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa89b0e7-cbc2-4801-b701-a7ad60660ec5 · outbound
This paper cites A topological quantum field theory approach to graph coloring.
New relations for the vertex polynomial A topological quantum field theory approach to graph coloring
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.352491Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 667062df-c424-476b-8f7b-86c7315ca69b · outbound
This paper cites A new way to prove configuration reducibility using gauge theory.
New relations for the vertex polynomial A new way to prove configuration reducibility using gauge theory
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.438569Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5d3e01b-76d7-423a-b4eb-f65a715c5708 · outbound
This paper cites Quantum state systems that count perfect matchings.
New relations for the vertex polynomial Quantum state systems that count perfect matchings
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.531248Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35f0bd7b-39d8-439f-b19f-d183c841e05a · outbound
This paper cites New relations for the Penrose polynomial.
New relations for the vertex polynomial New relations for the Penrose polynomial
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.601623Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54c4e7df-ef23-4e3e-84e4-62bba6ff513b · outbound
This paper cites Baldridge, L.
New relations for the vertex polynomial Baldridge, L
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.687658Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12f9b343-1845-4b4b-81b1-19a941b9a819 · outbound
This paper cites an unresolved cited work.
New relations for the vertex polynomial Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.780431Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b80e99cb-0030-4db2-b942-a3a8fdaf11d9 · outbound
This paper cites an unresolved cited work.
New relations for the vertex polynomial Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.871352Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60423e55-d79a-47b8-a89c-2bc090138da6 · outbound
This paper cites Snarks, boojums, and other conjectures related to the four-color-map theorem.
New relations for the vertex polynomial Snarks, boojums, and other conjectures related to the four-color-map theorem
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:34.952944Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 098608fa-ee76-47e2-8e64-1922700ce30f · outbound
This paper cites American Mathematical Monthly , vol.
New relations for the vertex polynomial American Mathematical Monthly , vol
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.019247Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3e6d825-864d-4dab-ad6d-3748892a9e30 · outbound
This paper cites an unresolved cited work.
New relations for the vertex polynomial Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.101579Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39d1c990-64e5-430f-bdc3-a4b6b7385392 · outbound
This paper cites an unresolved cited work.
New relations for the vertex polynomial Unresolved cited work
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.192767Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc336285-8c7c-4699-8f88-ab532ce6821a · outbound
This paper cites an unresolved cited work.
New relations for the vertex polynomial Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.258570Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 316d6a88-ccf6-4a64-b1b6-0b05147df0ce · outbound
This paper cites Khovanov, A categorification of the Jones polynomial, Duke Math.
New relations for the vertex polynomial Khovanov, A categorification of the Jones polynomial, Duke Math
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.341442Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4ef087c-348c-44e9-a2cd-cba62f443c63 · outbound
This paper cites Lee, An endomorphism of the Khovanov invariant, Adv.
New relations for the vertex polynomial Lee, An endomorphism of the Khovanov invariant, Adv
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.408390Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a698da00-d83d-467d-8413-ee0187dcdf9e · outbound
This paper cites Thesis, Grenoble 1977.
New relations for the vertex polynomial Thesis, Grenoble 1977
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.473248Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70cd1637-60fb-4364-bcfb-b1d2b7923dad · outbound
This paper cites Penrose, ``Applications of negative dimensional tensors,'' in Combinatorial Mathematics and Its Applications , Academic Press (1971).
New relations for the vertex polynomial Penrose, ``Applications of negative dimensional tensors,'' in Combinatorial Mathematics and Its Applications , Academic Press (1971)
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.512441Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5198919-d5da-4023-be2f-52174ee6aa9b · outbound
This paper cites Sur le th\'eor\`me de Tait.
New relations for the vertex polynomial Sur le th\'eor\`me de Tait
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.546295Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37f78dd5-2545-4c78-ae9f-669933027804 · outbound
This paper cites Combin.TheorySer.B 70 (1997),no.1, 166-183.
New relations for the vertex polynomial Combin.TheorySer.B 70 (1997),no.1, 166-183
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.578361Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a10bda48-7860-44b0-9fff-6140ef7dcf24 · outbound
This paper cites T., On the algebraic theory of graph colorings , J.
New relations for the vertex polynomial T., On the algebraic theory of graph colorings , J
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T07:05:35.610394Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.