Paper Citation Record · LEDGER

$k$-fold circuits and coning in rigidity matroids

As of 15 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2508.18838.

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

pith.paper-citation-record.v1
2508.18838 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:20:23.812104Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T09:11:14.071772Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T09:13:10.098231Z

Reference resolution

28 of 28 outbound references displayed

verified exact1
verified fuzzy24
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c2e767b0-f13d-4dae-bf1e-8bb2bd0d16d1 · outbound

This paper cites Asimow and B.

$k$-fold circuits and coning in rigidity matroids Asimow and B

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.209172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e532a1c3-8885-4383-9b8e-059e928b1cd6 · outbound

This paper cites Barakat, R.

$k$-fold circuits and coning in rigidity matroids Barakat, R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.199590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 44899c4b-4c59-4d30-963c-63920acb3746 · outbound

This paper cites Berg and T.

$k$-fold circuits and coning in rigidity matroids Berg and T

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.190945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d218efae-cbd0-469f-aa3e-0695410e462d · outbound

This paper cites Brylawski, Constructions, in Theory of Matroids , N.

$k$-fold circuits and coning in rigidity matroids Brylawski, Constructions, in Theory of Matroids , N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.182217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23baf6ea-dd0f-4391-969c-72778062d380 · outbound

This paper cites Clinch, B.

$k$-fold circuits and coning in rigidity matroids Clinch, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.173860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8676b049-d027-41cd-9e42-d87f750b106c · outbound

This paper cites Coullard and L.

$k$-fold circuits and coning in rigidity matroids Coullard and L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.164983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b0f31c05-10ae-46d1-8456-45a7a15b3abf · outbound

This paper cites Dress and L.

$k$-fold circuits and coning in rigidity matroids Dress and L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.155909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3cd7574b-94db-4595-84c9-8f4dc0bac0b5 · outbound

This paper cites Eftekhari, B.

$k$-fold circuits and coning in rigidity matroids Eftekhari, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.147513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20328796-ea35-4afd-a03a-570d36b30b64 · outbound

This paper cites Garamv¨ olgyi, S.

$k$-fold circuits and coning in rigidity matroids Garamv¨ olgyi, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.138673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6e5f6847-bdb4-4aaf-a63c-38c45333c97c · outbound

This paper cites Garamv¨ olgyi and T.

$k$-fold circuits and coning in rigidity matroids Garamv¨ olgyi and T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.129634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6d99e51-39be-4154-8a7e-a4639808fa70 · outbound

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

$k$-fold circuits and coning in rigidity matroids Stress-linked pairs of vertices and the generic stress matroid

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T16:20:23.757057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d7dc5c3-d66f-4831-afbc-f1e0b9ca0ceb · outbound

This paper cites Grasegger, H.

$k$-fold circuits and coning in rigidity matroids Grasegger, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.120243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 58b79174-ca79-4e39-af51-71a1c63181aa · outbound

This paper cites Grasegger, H.

$k$-fold circuits and coning in rigidity matroids Grasegger, H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.111102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2d0cd7d6-a957-445a-b0e6-95284b13378f · outbound

This paper cites Graver, Rigidity matroids, SIAM Journal on Discrete Mathematics , 4 (1991) 355–368.

$k$-fold circuits and coning in rigidity matroids Graver, Rigidity matroids, SIAM Journal on Discrete Mathematics , 4 (1991) 355–368

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.101665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 783fb1ef-5399-46b1-8ae6-91247cc253db · outbound

This paper cites Graver, B.

$k$-fold circuits and coning in rigidity matroids Graver, B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.092579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ab5c98e-bf3a-4b60-9cd4-2adc1ba52356 · outbound

This paper cites Jackson and T.

$k$-fold circuits and coning in rigidity matroids Jackson and T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.083053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 90750e1a-f6dd-43f3-835c-5c763502bf9d · outbound

This paper cites Jackson, A.

$k$-fold circuits and coning in rigidity matroids Jackson, A

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-05T16:20:23.918889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2dfff811-117e-4596-9f2b-dad829b36825 · outbound

This paper cites Laman, On graphs and rigidity of plane skeletal structures, Journal of Engineering Mathematics 4 (1970) 331–340.

$k$-fold circuits and coning in rigidity matroids Laman, On graphs and rigidity of plane skeletal structures, Journal of Engineering Mathematics 4 (1970) 331–340

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.072985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1695c26f-7ef2-4c8b-9503-fc69aa8bf88d · outbound

This paper cites Lov´ asz, Matroid matching and some applications, Journal of Combinatorial Theory: Series B , 28 (1980) 208–236.

$k$-fold circuits and coning in rigidity matroids Lov´ asz, Matroid matching and some applications, Journal of Combinatorial Theory: Series B , 28 (1980) 208–236

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.061868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 851cedd0-b190-4048-8d21-3924102d15c4 · outbound

This paper cites Makai, Matroid matching with Dilworth truncation, Discrete Mathematics, 308 (2008) 1394–1404.

$k$-fold circuits and coning in rigidity matroids Makai, Matroid matching with Dilworth truncation, Discrete Mathematics, 308 (2008) 1394–1404

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.052463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64228282-9eca-4949-892c-378d71e80ac9 · outbound

This paper cites an unresolved cited work.

$k$-fold circuits and coning in rigidity matroids Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:20:24.043260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0001267b-427b-477e-aa3c-4a30ac24bec0 · outbound

This paper cites Oxley, Matroid Theory, Oxford Science Publications, The Clar endon Press, Oxford University Press, NewYork, 1992.

$k$-fold circuits and coning in rigidity matroids Oxley, Matroid Theory, Oxford Science Publications, The Clar endon Press, Oxford University Press, NewYork, 1992

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.033568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e4c04bfc-a634-4b54-b620-55b835c532a7 · outbound

This paper cites an unresolved cited work.

$k$-fold circuits and coning in rigidity matroids Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:20:24.018303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ac7baf8a-024d-4e34-8263-015dd02ad3fb · outbound

This paper cites Servatius and H.

$k$-fold circuits and coning in rigidity matroids Servatius and H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:24.004415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8faf44f3-6af0-4d6f-accb-43c7ec515c2e · outbound

This paper cites Tay, On generically dependent bar frameworks in space, Structural Topology, 20 (1993) 27–48.

$k$-fold circuits and coning in rigidity matroids Tay, On generically dependent bar frameworks in space, Structural Topology, 20 (1993) 27–48

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:23.993673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d55eb2ce-2b2f-47ae-a48a-5215d055cbf3 · outbound

This paper cites Tay and W.

$k$-fold circuits and coning in rigidity matroids Tay and W

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:23.975936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 42dbd680-1909-4c90-95ec-218a2d91444b · outbound

This paper cites Whiteley, Cones, inﬁnity and one-story buildings, Structural Topology, 8 (1983) 53–70.

$k$-fold circuits and coning in rigidity matroids Whiteley, Cones, inﬁnity and one-story buildings, Structural Topology, 8 (1983) 53–70

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:23.958393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 08f1ed53-e576-46ed-ad3b-c2f95bdb5b47 · outbound

This paper cites Whiteley, Some matroids from discrete applied geometry, in Matroid Theory , J.

$k$-fold circuits and coning in rigidity matroids Whiteley, Some matroids from discrete applied geometry, in Matroid Theory , J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:20:23.941584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation b62bf0ab-32eb-49b7-b4e4-2b498abfeb25 · inbound

The number of realisations of a random graph cites this paper.

The number of realisations of a random graph $k$-fold circuits and coning in rigidity matroids

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-07T02:17:09.484192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.