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Paper Citation Record · LEDGER

On the Rigidity of Random Graphs in high-dimensional spaces

As of 24 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 3 inbound Pith citation observations for arXiv:2412.13127.

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

pith.paper-citation-record.v1
2412.13127 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:29:53.791575Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:31:52.463992Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T21:53:59.396717Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3734f922-882f-4218-ab66-97622c7fb616 · outbound

This paper cites Asimow and B.

On the Rigidity of Random Graphs in high-dimensional spaces Asimow and B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.104974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation a394c484-3773-422b-9950-9fca5cc6996d · outbound

This paper cites Asimow and B.

On the Rigidity of Random Graphs in high-dimensional spaces Asimow and B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.093650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.730055Z digest=sha256:25a7a774652866894bcc2bae8e5f61b54d9df61b479736cfd0329e68c0ceebaf

Observation 44a7c2c8-4e5f-41af-ad59-322e16d1973e · outbound

This paper cites Determining a Points Configuration from a Subset of the Pairwise Distances.

On the Rigidity of Random Graphs in high-dimensional spaces Determining a Points Configuration from a Subset of the Pairwise Distances

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T13:29:53.733746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:29:53.733746Z digest=sha256:9e3af19755e77c3ee770847fc218773d9a316b595a329fb644127933ba4b0b6d

Observation 7449cdaf-a2ab-4e59-a883-55a37f7fa457 · outbound

This paper cites Bollob´ as and B.

On the Rigidity of Random Graphs in high-dimensional spaces Bollob´ as and B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.084211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.737655Z digest=sha256:92a3e3ae40720f86313a038c3e820f224570f7f9dc27a99f7c07c4ae2e669fcd

Observation 329ee16e-0f66-44fd-a108-edf53e43f9db · outbound

This paper cites Connelly and S.

On the Rigidity of Random Graphs in high-dimensional spaces Connelly and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.073546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.741254Z digest=sha256:1f5749ece6060a00c22a7bfd4dd50cfa461540bb476de76616c2e8af82a4d726

Observation 853029c6-581d-403c-81c3-22c4eff3f66f · outbound

This paper cites Erd˝ os and A.

On the Rigidity of Random Graphs in high-dimensional spaces Erd˝ os and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.062613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.744177Z digest=sha256:3f3ccd70372acda04b06dd623af662ef73ab644ff5e01f762798aa3d0f9775ec

Observation d018ddb9-8669-4060-98af-bd0276cc14f0 · outbound

This paper cites Frieze and M.

On the Rigidity of Random Graphs in high-dimensional spaces Frieze and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.052977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 645b7bcc-81d9-48ba-9c06-7852e70e8f2c · outbound

This paper cites Gir˜ ao, F.

On the Rigidity of Random Graphs in high-dimensional spaces Gir˜ ao, F

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.043074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.750363Z digest=sha256:2ee5f69fd013cafdbd3c75832df6ea6c6804e1ca45c15bdfcb9e1624ed18927d

Observation 158dbecd-be0e-42da-be56-647d4085a9bc · outbound

This paper cites Graver, B.

On the Rigidity of Random Graphs in high-dimensional spaces Graver, B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.034166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.753523Z digest=sha256:9d33d7c2d87b8d205c6bec8951e95e1df05d5374724f0f4105eaf0d08dffdf28

Observation 26dc1cc6-29f7-4f2d-b055-66fb570431f5 · outbound

This paper cites Hendrickson.

On the Rigidity of Random Graphs in high-dimensional spaces Hendrickson

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:54.024572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.756736Z digest=sha256:d96b98a2c0ff3b4bd214d5eee72aa96bc839cd22c3a4ec3968d4e8eaf47f2642

Observation cc0cf9bc-ffd0-46c6-9e88-2072ff862779 · outbound

This paper cites Jackson, B.

On the Rigidity of Random Graphs in high-dimensional spaces Jackson, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:53.926800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.759468Z digest=sha256:b12b7cb85da51cd9b65ff129899558d5946bb86f864f7102dd8c1239574038eb

Observation 5a134166-e550-4eea-9f6c-d3c7516dedb4 · outbound

This paper cites Jord´ an.

On the Rigidity of Random Graphs in high-dimensional spaces Jord´ an

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:53.918085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.762415Z digest=sha256:9a6d97ebacc4afc2c74e5eba118bb4fde36b754976fbf0176988c4874af6f781

Observation 083d57e2-9162-40ec-b78c-a70fc837c514 · outbound

This paper cites Jord´ an.

On the Rigidity of Random Graphs in high-dimensional spaces Jord´ an

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:53.907531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.765014Z digest=sha256:10b0a355847b53a81b32c32d1433fefb02cb48482a70f3f2d9d3fe36f38f2394

Observation 06cd168c-2193-4f4d-9539-dce54eaefd36 · outbound

This paper cites Jord´ an and S.

On the Rigidity of Random Graphs in high-dimensional spaces Jord´ an and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:53.896950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 84deb117-d34b-4ff3-bd81-4209557f1fca · outbound

This paper cites Jord´ an and W.

On the Rigidity of Random Graphs in high-dimensional spaces Jord´ an and W

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:53.887685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.770899Z digest=sha256:d8b2899ff4b1bf2c57e68fca072e89a914ce92a192fd2545a88476daf38fb978

Observation bc17d228-ef6f-4723-884a-11d4b1bb2786 · outbound

This paper cites Coherence and sufficient sampling densities for reconstruction in compressed sensing.

On the Rigidity of Random Graphs in high-dimensional spaces Coherence and sufficient sampling densities for reconstruction in compressed sensing

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T13:29:53.773521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:29:53.773521Z digest=sha256:19e68adc5e497dd3ead656a30273379958112437f6947936613c48713e700a8d

Observation 9d6b9294-d979-4a00-bdc0-728b2afbbb55 · outbound

This paper cites Rigid partitions: from high connectivity to random graphs.

On the Rigidity of Random Graphs in high-dimensional spaces Rigid partitions: from high connectivity to random graphs

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T13:29:53.776806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:29:53.776806Z digest=sha256:484df9c5ba0c0777f8952a442af23c99e20976743b073eb2737c1e15649c58ab

Observation d22c8bd4-2042-40e6-8ff3-7aca2e47d2e5 · outbound

This paper cites an unresolved cited work.

On the Rigidity of Random Graphs in high-dimensional spaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:29:53.877760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b6ec9044-5a05-43cf-9f30-0e5a93e0eaf0 · outbound

This paper cites an unresolved cited work.

On the Rigidity of Random Graphs in high-dimensional spaces Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:29:53.868638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.782704Z digest=sha256:9e04b3880b9e65effc4a0f9d09961c60de2ed3b56c0b27f855521def92a72b71

Observation 6639a221-272f-412f-a1ff-8b95a0cf62b4 · outbound

This paper cites Global rigidity of random graphs in $\mathbb{R}$.

On the Rigidity of Random Graphs in high-dimensional spaces Global rigidity of random graphs in $\mathbb{R}$

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T13:29:53.785360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:29:53.785360Z digest=sha256:345e20c46d36786bea3c1b726020a2b26129c2964f0164da2fca2f068cce8277

Observation bb44c423-f07f-4f1e-9786-8d359ca8d5d8 · outbound

This paper cites Tanigawa.

On the Rigidity of Random Graphs in high-dimensional spaces Tanigawa

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:29:53.852870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T13:29:53.788487Z digest=sha256:ca86b1a4d17ff2db88d82fb390a1cad8cbb07f7adf77ea201392fd6741ba8a49

Observation 437638b3-1cb1-43e6-a0c2-90bfc23755ae · outbound

This paper cites Every $d(d+1)$-connected graph is globally rigid in $\mathbb{R}^d$.

On the Rigidity of Random Graphs in high-dimensional spaces Every $d(d+1)$-connected graph is globally rigid in $\mathbb{R}^d$

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T13:29:53.791575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:29:53.791575Z digest=sha256:6b79fc24ef9b0c61ccdad861abaa63b61b50d055e25f269dfa79be5a3976704e

Pith citing papers

Observation 38877823-511e-4ad1-9b99-63a724b65e2e · inbound

Minimum degree conditions for graph rigidity cites this paper.

Minimum degree conditions for graph rigidity On the Rigidity of Random Graphs in high-dimensional spaces

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T12:31:52.463992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:31:52.463992Z digest=sha256:b7b4c0eb662dd19c1d30680cdc2f09a94eed63f4424b53fa07c094a62edc09fa

Observation dac24daa-902b-4197-a0b2-ec4ed137fe94 · inbound

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

Explosive connectivity and mechanical rigidity in cubic lattice structures On the Rigidity of Random Graphs in high-dimensional spaces

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-04T00:31:30.433908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T00:31:30.433908Z digest=sha256:8003f1745d63b7790a03e042dab87b4ca64e5a0de34ba5abce735fedaa9d39b6

Observation 5afbe8d2-edac-4574-82ba-19b2eeffc62b · inbound

On the $d$-rigidity phase transition in random graphs cites this paper.

On the $d$-rigidity phase transition in random graphs On the Rigidity of Random Graphs in high-dimensional spaces

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-06-29T21:53:59.398337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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