Paper Citation Record · LEDGER

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs

As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.23826.

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

pith.paper-citation-record.v1
2606.23826 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:38:04.243050Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy0
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b746881-abcf-4169-b251-73dbd91c3da7 · outbound

This paper cites Arnborg, A.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Arnborg, A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78a28f36-4adf-43a7-a1ec-68ab483d12fe · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 393592fc-e58f-47eb-9ec7-9446f9ea321b · outbound

This paper cites Bowler, D.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Bowler, D

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4828bb7-a85e-476a-9b0d-9adb6a5d0f18 · outbound

This paper cites Brettell, J.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Brettell, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87382203-2686-4f6c-9203-1443da60c130 · outbound

This paper cites Chartrand and F.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Chartrand and F

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83af8cdf-7e28-43c9-8fe8-67bc5d50f855 · outbound

This paper cites Chen and J.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Chen and J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b97b4c2a-e946-453a-b3d3-1bdcbfa2cdbf · outbound

This paper cites Diestel.Graph theory.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Diestel.Graph theory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6ccd153-adc3-4c50-b9d9-0b80690e290d · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8c1ab7c-f1ea-4438-b28c-bd75972c4851 · outbound

This paper cites Funk,On excluded minors and biased graph representations of frame matroids.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Funk,On excluded minors and biased graph representations of frame matroids

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0563f084-2f3c-4e2e-8340-73014febfd84 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 185ba779-d967-4d02-a045-3227e2f342cd · outbound

This paper cites Matrix representations of frame and lifted-graphic matroids correspond to gain functions.J.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Matrix representations of frame and lifted-graphic matroids correspond to gain functions.J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 934b9f6c-7f29-44ca-b948-4b94973adecf · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fea6507-f45b-4a64-a42b-0d82193eb845 · outbound

This paper cites Structure in minor-closed classes of ma- troids.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Structure in minor-closed classes of ma- troids

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42d1c294-7e03-4abd-a5d4-3e1c42a92f51 · outbound

This paper cites Geelen, B.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Geelen, B

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 147b2e62-ad23-4969-90a9-c1325cad66d7 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d053e337-3b54-4aeb-9e82-e6c1a255e50c · outbound

This paper cites Binary spaces and cutting planes.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Binary spaces and cutting planes

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b054ab85-7f7e-4e19-9e44-79f77ce41287 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d5a2888-0f8f-4dac-96ab-798e05ed905e · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46009612-0992-491a-ab9e-f95c1d7b7721 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3252983c-b79c-466c-b8cb-a322769ef34a · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8440a534-07ba-4a2a-8ae5-7810d66742cb · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccfa21e2-fc99-4036-896e-db6c23d0af1c · outbound

This paper cites Robertson, P.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Robertson, P

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ea6939-a753-42fe-9bc6-a4cc928b1a18 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e6e24d7-f64e-4b73-8eaf-8fa8f15b1d2e · outbound

This paper cites Satyanarayana and L.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Satyanarayana and L

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e4fa069-d91a-4e7a-9887-56a905f540ef · outbound

This paper cites Semple and G.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Semple and G

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a65de42-d74d-4b16-800d-fa8ccee52fc2 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 033de3fa-017a-4e50-a529-1af3b4030f3f · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f5f513d-7a38-4a3a-9e04-8c258d80f7d4 · outbound

This paper cites Mathematical Expositions, vol.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Mathematical Expositions, vol

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b82d701-3ad0-4d78-9f5d-da68d0c5fb28 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0bc3c25-cd2f-4b2a-9c1c-4d2447401dc3 · outbound

This paper cites Zaslavsky.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Zaslavsky

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cba23deb-572e-4c66-8bae-2b355899cf45 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2afa09b-6c41-4112-8772-6395b5d80045 · outbound

This paper cites an unresolved cited work.

The excluded minors for $\mathsf{Z}_{3}$-gainable and regular biased graphs Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-26T07:38:04.243050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.