Paper Citation Record · LEDGER

Conformal Rigidity and Spectral Embeddings of Graphs

As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 3 inbound Pith citation observations for arXiv:2506.20541.

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

pith.paper-citation-record.v1
2506.20541 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:58:11.458858Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:48:05.391741Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T03:51:51.182864Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy17
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a75bc07-e062-41ef-a362-241bf8422625 · outbound

This paper cites Araujo-Pardo and D.

Conformal Rigidity and Spectral Embeddings of Graphs Araujo-Pardo and D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.907149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1d505535-4207-4513-8fb7-6729654aa335 · outbound

This paper cites Barvinok, A Remark on the Rank of Positive Semidefinite Matrices Subject to Affine Constraints,Discrete Comput.

Conformal Rigidity and Spectral Embeddings of Graphs Barvinok, A Remark on the Rank of Positive Semidefinite Matrices Subject to Affine Constraints,Discrete Comput

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.889467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b433b0e4-8e89-4c39-b77b-31088ca2f69f · outbound

This paper cites Biggs, Algebraic Graph Theory, Cambridge University Press, 1974.

Conformal Rigidity and Spectral Embeddings of Graphs Biggs, Algebraic Graph Theory, Cambridge University Press, 1974

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.871539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6b5f2b5a-3092-48f3-b62c-73d519b1948f · outbound

This paper cites an unresolved cited work.

Conformal Rigidity and Spectral Embeddings of Graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:58:11.853627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bbe9edab-afa3-48b4-bc5a-cb8bd41a27bc · outbound

This paper cites Coolsaet, S.

Conformal Rigidity and Spectral Embeddings of Graphs Coolsaet, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.837244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2a4f9650-3118-4735-80a4-1deeb6403b4d · outbound

This paper cites DeCorte, D.

Conformal Rigidity and Spectral Embeddings of Graphs DeCorte, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.818718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 730c14b2-554b-411a-a0ef-3001e1c6d9b1 · outbound

This paper cites Goedgebeur, J.

Conformal Rigidity and Spectral Embeddings of Graphs Goedgebeur, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.801770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation df7f3fe4-e31c-49dd-a9ac-51c19cf15d40 · outbound

This paper cites El Soufi and S.

Conformal Rigidity and Spectral Embeddings of Graphs El Soufi and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.785443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aa712c9e-70cd-432a-b909-f899e9d9e1ce · outbound

This paper cites an unresolved cited work.

Conformal Rigidity and Spectral Embeddings of Graphs Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:58:11.767741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 587d7be8-5460-4dab-a45d-adf96dd94641 · outbound

This paper cites an unresolved cited work.

Conformal Rigidity and Spectral Embeddings of Graphs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:58:11.749483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 62c895e1-a95c-4be5-8a0d-0fd82cdb03fb · outbound

This paper cites Godsil, Algebraic Combinatorics, Routledge, 2017.

Conformal Rigidity and Spectral Embeddings of Graphs Godsil, Algebraic Combinatorics, Routledge, 2017

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.731174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fa597b01-29f8-4ba9-8e15-5930b6db0a1a · outbound

This paper cites G¨ oring, C.

Conformal Rigidity and Spectral Embeddings of Graphs G¨ oring, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.712926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fd385047-1ced-4af5-9b2f-223796a86003 · outbound

This paper cites G¨ oring, C.

Conformal Rigidity and Spectral Embeddings of Graphs G¨ oring, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.694884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 90730685-fcd3-40a9-8743-60b1065a50f7 · outbound

This paper cites G¨ oring, C.

Conformal Rigidity and Spectral Embeddings of Graphs G¨ oring, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.675379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9f6b87e0-3ef2-42db-bf14-755b63925bd1 · outbound

This paper cites Hall, Anr-dimensional quadratic placement algorithm.Management Science17(1970), p.

Conformal Rigidity and Spectral Embeddings of Graphs Hall, Anr-dimensional quadratic placement algorithm.Management Science17(1970), p

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.656050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 85695365-ad7c-4166-b1cd-e7b27ec1be0a · outbound

This paper cites Hersch, Quatre proprietes isoperimetriques de membranes spheriques homogenes,C.

Conformal Rigidity and Spectral Embeddings of Graphs Hersch, Quatre proprietes isoperimetriques de membranes spheriques homogenes,C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.632041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2a36b954-5afa-46a7-99e9-0f5960475405 · outbound

This paper cites On vertex-girth-regular graphs: (Non-)existence, bounds and enumeration.

Conformal Rigidity and Spectral Embeddings of Graphs On vertex-girth-regular graphs: (Non-)existence, bounds and enumeration

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T22:58:11.428816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation feb25f9b-bb4a-4c63-b3a8-9f346f94a684 · outbound

This paper cites Pegg Jr and G.

Conformal Rigidity and Spectral Embeddings of Graphs Pegg Jr and G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.608721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 655249f5-929c-4ef9-9ff7-4ecae1189ad4 · outbound

This paper cites Potocnik, P.

Conformal Rigidity and Spectral Embeddings of Graphs Potocnik, P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.587919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 340b1991-1f13-4a55-b9d1-6a4afea82bf2 · outbound

This paper cites Potoˇ cnik and S.

Conformal Rigidity and Spectral Embeddings of Graphs Potoˇ cnik and S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.565675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4a2940f2-52fa-4b31-9ea6-84a09b4b0795 · outbound

This paper cites Steinerberger and R.R.

Conformal Rigidity and Spectral Embeddings of Graphs Steinerberger and R.R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:58:11.545729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 31f12cbd-b46c-4c43-8d32-5254d2d45b3a · outbound

This paper cites an unresolved cited work.

Conformal Rigidity and Spectral Embeddings of Graphs Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:58:11.525645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 0df01c32-2c07-4b4d-b438-650b0310085d · inbound

Total Conformal Rigidity in Graphs cites this paper.

Total Conformal Rigidity in Graphs Conformal Rigidity and Spectral Embeddings of Graphs

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-12T08:21:24.260056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 85bc4f55-c7ee-4f6b-8577-41db11f0f2c3 · inbound

Total Conformal Rigidity in Graphs cites this paper.

Total Conformal Rigidity in Graphs Conformal Rigidity and Spectral Embeddings of Graphs

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T14:48:05.391741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64311c5c-de8b-420b-b2f7-d7ef4eb1431a · inbound

Conformal Rigidity of Graphs: Subdifferentials and Orbit-Isometries cites this paper.

Conformal Rigidity of Graphs: Subdifferentials and Orbit-Isometries Conformal Rigidity and Spectral Embeddings of Graphs

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-15T03:09:43.447271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.