Paper Citation Record · LEDGER

The graph of implicit edge dependencies for indecomposability and beyond

As of 17 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 2 inbound Pith citation observations for arXiv:2512.05307.

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

pith.paper-citation-record.v1
2512.05307 v5

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:35:31.053618Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:23:13.849352Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T04:21:03.305163Z

Reference resolution

8 of 8 outbound references displayed

verified exact0
verified fuzzy0
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation faddefe3-dc05-4077-b766-25ae623c180f · outbound

This paper cites [McM87] Peter McMullen.

The graph of implicit edge dependencies for indecomposability and beyond [McM87] Peter McMullen

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.955382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a32ba02-8f54-452c-8319-fc184b0e7df4 · outbound

This paper cites Irreducible convex sets.

The graph of implicit edge dependencies for indecomposability and beyond Irreducible convex sets

Reference 1970

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.692367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e9d3844-a9aa-4afc-9330-899295669a23 · outbound

This paper cites The cone of semimodular rank functions.

The graph of implicit edge dependencies for indecomposability and beyond The cone of semimodular rank functions

Reference 1987

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.732375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f14fc700-fda2-43cd-aa83-105e62aec2c6 · outbound

This paper cites 42 [GL01] Shu Hong Gao and Alan G.

The graph of implicit edge dependencies for indecomposability and beyond 42 [GL01] Shu Hong Gao and Alan G

Reference 2008

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.784545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4844543-325a-4329-8623-7aa27eeabd41 · outbound

This paper cites Basic facts concerning supermodular functions.

The graph of implicit edge dependencies for indecomposability and beyond Basic facts concerning supermodular functions

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:31.053618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c0872f1-4c84-464c-84c3-665f1ffec1fc · outbound

This paper cites Irreducibility of Generalized Permutohedra, Supermodular Functions, and Balanced Multisets.

The graph of implicit edge dependencies for indecomposability and beyond Irreducibility of Generalized Permutohedra, Supermodular Functions, and Balanced Multisets

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.836838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ae9c7e1-5621-4223-b626-981c5f961fb7 · outbound

This paper cites Strongly dominant weight polytopes are cubes.

The graph of implicit edge dependencies for indecomposability and beyond Strongly dominant weight polytopes are cubes

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.615711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 552df2ff-19fd-4ea1-a31e-ffe44be9e813 · outbound

This paper cites [BC] Spencer Backman and Federico Castillo.

The graph of implicit edge dependencies for indecomposability and beyond [BC] Spencer Backman and Federico Castillo

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T18:35:30.548704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 54baafb3-cc72-4430-89da-6beeef4227f2 · inbound

Indecomposability of 0/1-polytopes cites this paper.

Indecomposability of 0/1-polytopes The graph of implicit edge dependencies for indecomposability and beyond

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-26T02:03:06.131707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 84869bdb-08f4-4a4f-a155-9bd16c7a1a53 · inbound

Minkowski decomposability of symmetric edge polytopes cites this paper.

Minkowski decomposability of symmetric edge polytopes The graph of implicit edge dependencies for indecomposability and beyond

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T07:23:13.849352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.