Paper Citation Record · LEDGER

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory

As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2509.03150.

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

pith.paper-citation-record.v1
2509.03150 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:21:22.741065Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-07T05:48:36.242299Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T10:31:29.381587Z

Reference resolution

21 of 21 outbound references displayed

verified exact2
verified fuzzy19
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a721b232-8b8c-4a33-ae30-4ce04ee8e3ac · outbound

This paper cites Minimally rigid tensegrity frameworks.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Minimally rigid tensegrity frameworks

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:21:22.790790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8fec544b-b660-405c-b6e0-634a628eefb6 · outbound

This paper cites Independence and port oracles for matroids, with an application to computational learning theory,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Independence and port oracles for matroids, with an application to computational learning theory,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.973719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c28918e2-b38b-4e32-b3b6-89a17e5687a6 · outbound

This paper cites Stress-linked pairs of vertices and the generic stress matroid.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Stress-linked pairs of vertices and the generic stress matroid

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:21:22.775283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b2a21536-a3c4-41e7-8712-ed9c7497cd9f · outbound

This paper cites Globally rigid graphs are fully recon- structible,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Globally rigid graphs are fully recon- structible,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.963989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 11be3d60-fc37-43e1-b869-7b70d47d73d5 · outbound

This paper cites Minimally globally rigid graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Minimally globally rigid graphs,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.954493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 45d90b54-0ecc-4a53-9a30-ba0132cea523 · outbound

This paper cites Characterizing generic global rigidity,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Characterizing generic global rigidity,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.945499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7bd5699d-f9b3-4ae2-bd11-b591390d02e4 · outbound

This paper cites Flexible circuits in the d-dimensional rigidity matroid,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Flexible circuits in the d-dimensional rigidity matroid,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.935632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fbd4496c-560a-4d94-9937-ce027d00bd98 · outbound

This paper cites Conditions for Unique Graph Realizations,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Conditions for Unique Graph Realizations,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.926304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c1b6befc-bf28-42f2-b26b-e6ff5337c98f · outbound

This paper cites Connected rigidity matroids and unique realizations of graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Connected rigidity matroids and unique realizations of graphs,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.917226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1c88f087-6a00-443d-8c57-518fe45da0ff · outbound

This paper cites The Dress conjectures on rank in the 3-dimensional rigidity matroid,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory The Dress conjectures on rank in the 3-dimensional rigidity matroid,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.908043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f2a33ca2-9cb0-49f3-8f49-320275c9e89f · outbound

This paper cites Global rigidity,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Global rigidity,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.898661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 78ef3424-75ac-422b-9176-9f066b5b048b · outbound

This paper cites Ear-decompositions, minimally connected matroids and rigid graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Ear-decompositions, minimally connected matroids and rigid graphs,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.889392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df9e96e5-fdbe-495a-b594-96804b679920 · outbound

This paper cites Extremal problems and results in combinatorial rigidity,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Extremal problems and results in combinatorial rigidity,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.879619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1957b8d2-9abe-4e8d-a4fc-45f9c94be788 · outbound

This paper cites On Minimally Highly Vertex-Redundantly Rigid Graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory On Minimally Highly Vertex-Redundantly Rigid Graphs,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.870254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d6ac6059-8030-427c-9201-935c66f09c63 · outbound

This paper cites On the size of highly redundantly rigid graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory On the size of highly redundantly rigid graphs,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.861091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7efacab9-50eb-4be5-bcf2-193bef02b80b · outbound

This paper cites A Max-Min Problem on Spectral Radius and Connectedness of Graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory A Max-Min Problem on Spectral Radius and Connectedness of Graphs,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.851817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0e6753b4-16a8-4bcb-9202-dcea5214be9c · outbound

This paper cites ¨Uber minimal n-fach zusammenh¨ angende, unendliche Graphen und ein Extremalproblem,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory ¨Uber minimal n-fach zusammenh¨ angende, unendliche Graphen und ein Extremalproblem,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.840864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ffac73d5-b2de-46f5-aeec-7ee6b1610924 · outbound

This paper cites k-connectivity and decomposition of graphs into forests,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory k-connectivity and decomposition of graphs into forests,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.829816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1eb1f58c-d271-415f-af29-983c8ef3b734 · outbound

This paper cites Rigidity and scene analysis,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Rigidity and scene analysis,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.819952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8d30ad73-f85c-4eaf-a418-f72657ae4e98 · outbound

This paper cites Sufficient conditions for the global rigidity of graphs,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Sufficient conditions for the global rigidity of graphs,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.810143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 419f9adf-8c54-4484-91af-02923f6d3a20 · outbound

This paper cites Cones, infinity and one-story buildings,.

Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory Cones, infinity and one-story buildings,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:21:22.800825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation ce6713f1-0ebb-4180-bf69-a6a37667ac1a · inbound

Cliques in minimally globally rigid graphs cites this paper.

Cliques in minimally globally rigid graphs Sparsity, Stress-Independence and Globally Linked Pairs in Graph Rigidity Theory

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:31:29.383518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.