Paper Citation Record · LEDGER

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 4 inbound Pith citation observations for arXiv:2508.11636.

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

pith.paper-citation-record.v1
2508.11636 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:14:47.945528Z

measured 20 of 20 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:45:36.478625Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T13:34:53.846341Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy12
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c0f13f6-d85d-4657-9bbf-adb8974a93bf · outbound

This paper cites Generalizations of Kempe’s universality theorem.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Generalizations of Kempe’s universality theorem

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:51.092638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 09c3cfd1-4f9c-49e2-ba11-9d31d5b87576 · outbound

This paper cites FAQ on the g-theorem and the hard Lefschetz theorem for face rings.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach FAQ on the g-theorem and the hard Lefschetz theorem for face rings

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:50.697583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 776c295c-c488-42bd-ba1a-5da7bd69e405 · outbound

This paper cites an unresolved cited work.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:14:50.323460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 69862562-4a4d-4803-85bc-04987cd7126f · outbound

This paper cites The rigidity of graphs.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach The rigidity of graphs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:49.968032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2190cb0b-8af3-43cb-b58f-f3d8d0d5e7f7 · outbound

This paper cites A proof of the lower bound conjecture for convex polytopes.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach A proof of the lower bound conjecture for convex polytopes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:49.785329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 78e201d3-9378-4dc9-9b0e-df987a4da56e · outbound

This paper cites The minimum number of vertices of a simple polytope.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach The minimum number of vertices of a simple polytope

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:49.557294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c69e8b86-e505-414f-ba45-516974f7de94 · outbound

This paper cites Interaction between skew-representability, tensor products, extension properties, and rank inequalities.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Interaction between skew-representability, tensor products, extension properties, and rank inequalities

Reference 7

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T12:14:48.269125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1866f6e5-0f1e-43cc-b69e-32f38772dc60 · outbound

This paper cites A proof of Connelly’s conjecture on 3-connected circuits of the rigidity matroid.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach A proof of Connelly’s conjecture on 3-connected circuits of the rigidity matroid

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:49.321063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 63fc11d2-ffc9-424e-b181-67459642a492 · outbound

This paper cites Completion of tree metrics and rank-2 matrices.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Completion of tree metrics and rank-2 matrices

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:14:48.106950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 22096eb4-3c46-4412-961a-161cc77060dd · outbound

This paper cites When is a bipartite graph a rigid framework?.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach When is a bipartite graph a rigid framework?

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:48.997514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 50a543a1-8f9c-469e-9715-438a9c0ef559 · outbound

This paper cites Rigidity matroids and linear algebraic matroids with appli- cations to matrix completion and tensor codes.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Rigidity matroids and linear algebraic matroids with appli- cations to matrix completion and tensor codes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:48.872096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 51ecfcbf-3e34-4695-9266-1334655e329b · outbound

This paper cites Cohen-Macaulay rings.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Cohen-Macaulay rings

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:48.723646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f5179339-da64-4b08-ae38-f19448224230 · outbound

This paper cites Volume rigidity and algebraic shift- ing.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Volume rigidity and algebraic shift- ing

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:48.576546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 85382a94-5416-4b09-8006-a4591e8101eb · outbound

This paper cites doi: �� .

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach doi: ��

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:49.184399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 01d976d1-0138-4f1a-bffd-39e91792f93e · outbound

This paper cites url: �� .

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach url: ��

Reference 902

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:14:48.431520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 29c358bc-d6e0-4a72-bd79-8378a163fea4 · outbound

This paper cites an unresolved cited work.

Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach Unresolved cited work

Reference 2025

Resolution: unresolved; raw_fallback, observed 2026-08-06T12:14:49.453236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 3f297022-a336-4bf5-8069-322ad8f831ef · inbound

How to see the forest despite the trees cites this paper.

How to see the forest despite the trees Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T09:45:36.478625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f0f684a-ebee-4873-9580-cd79fedc48e7 · inbound

Explosive connectivity and mechanical rigidity in cubic lattice structures cites this paper.

Explosive connectivity and mechanical rigidity in cubic lattice structures Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T00:31:30.350141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a717af86-b5cc-40ab-a051-3ab22777aa8f · inbound

Generic Rigidity of Graph Frameworks in Euclidean Space cites this paper.

Generic Rigidity of Graph Frameworks in Euclidean Space Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:15:48.710577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5b4e348e-a98d-441a-b483-cdabdfa670e5 · inbound

Symmetric Powers of Matroids cites this paper.

Symmetric Powers of Matroids Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-08T13:34:53.848283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.