Paper Citation Record · LEDGER

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains

As of 3 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2605.20629.

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

pith.paper-citation-record.v1
2605.20629 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T17:52:42.995982Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+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 exact2
verified fuzzy14
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a53836b5-a072-4a44-b7df-36b77430a9d4 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.522202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 8f12080c-b795-400b-ba4e-417bb784d7b7 · outbound

This paper cites Albano and B.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Albano and B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.529004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 5b6ebeb3-39d1-4caa-8811-4eb4ed6a111b · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.551831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 35424d5a-66db-4dcc-ac13-9b2c9dab7139 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.549120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation f82f7898-1292-474a-a311-cd2557c0bf45 · outbound

This paper cites Bedford and R.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Bedford and R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.567164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 02596258-46a4-4a4f-9c2e-d72393d7f5f4 · outbound

This paper cites Bergeron, G.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Bergeron, G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.564651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 95315ef1-6fc4-4d01-91bd-12ca8a302416 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.515408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 7d72b98b-0018-4f67-9784-140d7c18762a · outbound

This paper cites Chornomaz.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Chornomaz

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.556922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 5a76f748-b3f1-4dae-add1-ec4d86eac3a2 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.554324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation a0d2e3a7-ff20-40a4-bd57-93963e58e689 · outbound

This paper cites Cuntz and P.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Cuntz and P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.524580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 5807ef00-be3e-43f3-9f90-b4f580802acd · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.569534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation d05ee553-6b75-4758-ac57-db17179b941b · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.500936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation efc4490c-50a4-49fe-87b6-1cded22a08f8 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.571930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 66038e0e-20f9-4633-9cb9-3f51053885fe · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.510295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 53341993-5123-4b99-8d23-f489e2f6d09f · outbound

This paper cites Karpov and A.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Karpov and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.503112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 8b3bf44f-6b94-429b-b655-bda26aae74e9 · outbound

This paper cites Kurowicka and R.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Kurowicka and R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.512801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 36e1a09e-8440-47db-8d6c-5f761a3261a3 · outbound

This paper cites Kurowicka and H.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Kurowicka and H

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.497134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 092b8db2-4d83-4917-a9da-bf2f4656ec8d · outbound

This paper cites Liversidge.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Liversidge

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.507893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 1a83dacb-b25d-4f3a-9e63-5ecfc0487475 · outbound

This paper cites Arrow's single peaked domains, richness, and domains for plurality and the Borda count.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Arrow's single peaked domains, richness, and domains for plurality and the Borda count

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-30T17:54:57.755863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation d9b9a184-a526-40eb-b825-7a76c893aa2e · outbound

This paper cites Monjardet.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Monjardet

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.544133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation ffa73143-1f37-4920-8f46-9706e6ee70e1 · outbound

This paper cites Morales-N ´apoles.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Morales-N ´apoles

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.539407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation c2fe0dfb-c70b-4969-99e3-76d6b8447e6e · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.541784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation ae26747f-59de-4d4a-87dc-3a8ec5abaca0 · outbound

This paper cites Orlik and H.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Orlik and H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.533871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation ea875ae0-d187-485f-beb2-f6a857780c25 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.536261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 73fab9bf-1a08-43d5-8f67-578e629edfb0 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.531472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 1ac26e91-7c3c-48b9-9923-e01e531eca34 · outbound

This paper cites A combinatorial representation of Arrow's single-peaked domains.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains A combinatorial representation of Arrow's single-peaked domains

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-06-30T17:54:57.758982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 2ceb8de4-28b7-4899-b15b-e1f8a1107d68 · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.546661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation a39ee604-a0bd-4e91-8f3b-77c1680a1322 · outbound

This paper cites Sommers and J.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Sommers and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.520053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 5cfccf57-53e2-4173-bf63-dccf249be02e · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.517705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation a0fe6633-1ac4-423b-8ff4-942ee026506b · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.559333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 2f7f59fa-1eb9-42be-8947-69b42c77243f · outbound

This paper cites an unresolved cited work.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-07-08T07:04:45.561692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 1f098d92-7343-4b9b-a3a0-8bd11b07083b · outbound

This paper cites Zhu and D.

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains Zhu and D

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T07:04:45.505423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Pith citing papers

No inbound Pith citation observations are available.