Paper Citation Record · LEDGER

On the $d$-rigidity phase transition in random graphs

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2605.25711.

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

pith.paper-citation-record.v1
2605.25711 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T21:49:02.906756Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact6
verified fuzzy0
unresolved37
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1351a81a-5052-40d3-bf6d-be5b4af502d0 · outbound

This paper cites 10, 2111–2122.

On the $d$-rigidity phase transition in random graphs 10, 2111–2122

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bf19a45-58a0-4725-a439-a480b35fdfd9 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c55a7f4b-575d-483f-8076-6e6e48f0fb52 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48ac78d1-ee83-4a3c-b0c5-97cdbad6f81d · outbound

This paper cites II , Journal of Mathematical Analysis and Applications 68 (1979), no.

On the $d$-rigidity phase transition in random graphs II , Journal of Mathematical Analysis and Applications 68 (1979), no

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5dd10d9-9bf2-4bcc-9e1f-a41a2d4982d6 · outbound

This paper cites 3, 419–453.

On the $d$-rigidity phase transition in random graphs 3, 419–453

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a235993-afb0-49b8-9290-433f32cd7699 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c07032c-13a3-4a5c-9360-9de3c3866014 · outbound

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

On the $d$-rigidity phase transition in random graphs Determining a Points Configuration from a Subset of the Pairwise Distances

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-06-29T21:53:59.394092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 158c8a47-9baa-4ef3-86e8-3ba69462d295 · outbound

This paper cites Gortler, Anthony Nixon, Meera Sitharam, and Louis Theran, Maximum likelihood thresholds via graph rigidity , The Annals of Applied Probability 34 (2024), no.

On the $d$-rigidity phase transition in random graphs Gortler, Anthony Nixon, Meera Sitharam, and Louis Theran, Maximum likelihood thresholds via graph rigidity , The Annals of Applied Probability 34 (2024), no

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d89d5c59-9e4e-4b28-ba16-e56ad090e00f · outbound

This paper cites 73, Cambridge University Press, Cambridge, 2001.

On the $d$-rigidity phase transition in random graphs 73, Cambridge University Press, Cambridge, 2001

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9623764-ba3b-4f34-ac97-4149d7fa3158 · outbound

This paper cites 3, 332–352.

On the $d$-rigidity phase transition in random graphs 3, 332–352

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 960408e0-9cb1-45c5-9c84-82e1d0ade180 · outbound

This paper cites 3, 1097–1121.

On the $d$-rigidity phase transition in random graphs 3, 1097–1121

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f6b03b4-d08a-4d8c-b906-88f784725c4c · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec7bf600-855e-4ad9-a743-792fc9f4b36b · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-06-29T21:53:59.400737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3647fcc1-35ff-4bb5-9789-7489637a4253 · outbound

This paper cites I , Publicationes Mathematicae Debrecen 6 (1959), 290–297.

On the $d$-rigidity phase transition in random graphs I , Publicationes Mathematicae Debrecen 6 (1959), 290–297

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58ffbf19-347c-4ad3-b120-3dc4a7045e45 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 201b070e-8e97-4b9b-b70e-c6743004780c · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 629ba95e-4e1c-4648-a4ec-9307a48be858 · outbound

This paper cites 32 YUV AL PELED.

On the $d$-rigidity phase transition in random graphs 32 YUV AL PELED

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 130a3fdf-28c0-4e8e-8f7b-184da783059a · outbound

This paper cites 4, 2709–2720.

On the $d$-rigidity phase transition in random graphs 4, 2709–2720

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a47b721c-fed7-436f-a217-e115f45a99e5 · outbound

This paper cites 2, American Mathematical Society, Providence, RI, 1993.

On the $d$-rigidity phase transition in random graphs 2, American Mathematical Society, Providence, RI, 1993

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0866f62-8078-4682-9433-210d0010c5b6 · outbound

This paper cites 1, 386–407.

On the $d$-rigidity phase transition in random graphs 1, 386–407

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bca1a6a7-147e-4e87-aa6a-76823e5e71a6 · outbound

This paper cites 2, 154–166.

On the $d$-rigidity phase transition in random graphs 2, 154–166

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb91a605-efb5-4ecd-9552-e4ba3009fdd0 · outbound

This paper cites Luczak, A simple solution to the k-core problem, Random Structures & Algorithms 30 (2007), no.

On the $d$-rigidity phase transition in random graphs Luczak, A simple solution to the k-core problem, Random Structures & Algorithms 30 (2007), no

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4008625-4a69-4a5c-b12f-868ca9852df2 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb3e673e-b5e4-4fb4-9ba8-e90747661960 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-29T21:53:59.391727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52368ef7-f125-4777-b7bf-284fac449176 · outbound

This paper cites 3, 2367–2392.

On the $d$-rigidity phase transition in random graphs 3, 2367–2392

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a249b0b1-8dc6-4b2c-aa9d-ff8d65ecd831 · outbound

This paper cites 1237–1252.

On the $d$-rigidity phase transition in random graphs 1237–1252

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce9b556b-3073-487d-bd49-cb3fe4bf7b6c · outbound

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

On the $d$-rigidity phase transition in random graphs Coherence and sufficient sampling densities for reconstruction in compressed sensing

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-06-29T21:53:59.403243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d1067e81-a2f7-44f5-b345-34e50fbffd1e · outbound

This paper cites Power, The rigidity of infinite graphs, Discrete & Computational Geometry 60 (2018), no.

On the $d$-rigidity phase transition in random graphs Power, The rigidity of infinite graphs, Discrete & Computational Geometry 60 (2018), no

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bb3c1e6-6856-4ca4-9a48-b4845f063e61 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 681e7261-b495-4ed5-8667-13448e6019ca · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-06-29T21:53:59.402052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f283ec7e-8c1f-4a6a-99a4-5591cbb81fe2 · outbound

This paper cites 1, e70279.

On the $d$-rigidity phase transition in random graphs 1, e70279

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b52208f6-9c88-45c3-a42e-eb7416d405cf · outbound

This paper cites 4, 331–340.

On the $d$-rigidity phase transition in random graphs 4, 331–340

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39593523-2b58-46d8-90c2-2e3668e9e32e · outbound

This paper cites Raz, Sharp threshold for rigidity of random graphs, Bulletin of the London Mathematical Society 55 (2023), no.

On the $d$-rigidity phase transition in random graphs Raz, Sharp threshold for rigidity of random graphs, Bulletin of the London Mathematical Society 55 (2023), no

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 121e2170-4c61-4dcc-b21b-c93e2ca341c5 · outbound

This paper cites 3, 745–773.

On the $d$-rigidity phase transition in random graphs 3, 745–773

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe689e56-4a27-4399-8123-dbe4399c07ed · outbound

This paper cites 1, 61–68.

On the $d$-rigidity phase transition in random graphs 1, 61–68

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84c4aaab-25b2-49a7-8370-887fc29fe2e1 · outbound

This paper cites 6, Springer, 2025, pp.

On the $d$-rigidity phase transition in random graphs 6, Springer, 2025, pp

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b244b8b9-bc7b-45b9-a8a1-b1e4c172e0b9 · outbound

This paper cites Owen and Stephen C.

On the $d$-rigidity phase transition in random graphs Owen and Stephen C

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites On the Rigidity of Random Graphs in high-dimensional spaces.

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 2026-08-13T06:32:02.005865+00:00.

Observation d9592650-b899-42b2-ab17-7b5641e06ccf · outbound

This paper cites 1, 111–151.

On the $d$-rigidity phase transition in random graphs 1, 111–151

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c195128-0d83-425b-ba02-0ccb0359a0b8 · outbound

This paper cites I: Functional analysis, revised and enlarged ed., Academic Press, New York, 1980.

On the $d$-rigidity phase transition in random graphs I: Functional analysis, revised and enlarged ed., Academic Press, New York, 1980

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d7e42c9-467b-47cf-98de-75980748a505 · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37bae101-d8a4-49b8-a0f6-74305976b27e · outbound

This paper cites an unresolved cited work.

On the $d$-rigidity phase transition in random graphs Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 424ce52c-473e-4be5-8252-6b6efc9ba1d4 · outbound

This paper cites 1, 238–261.

On the $d$-rigidity phase transition in random graphs 1, 238–261

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-29T21:49:02.906756Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.