Paper Citation Record · LEDGER

Estimating the Euclidean distortion of an orbit space

As of 7 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2506.04425.

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

pith.paper-citation-record.v1
2506.04425 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:54:14.330101Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T19:27:34.750863Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact5
verified fuzzy27
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c74f09c-541c-4098-8411-e710cd96f38b · outbound

This paper cites Nearly Optimal Embeddings of Flat Tori.

Estimating the Euclidean distortion of an orbit space Nearly Optimal Embeddings of Flat Tori

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:54:14.658028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e2956114-d10c-48b8-9431-8a183de6e431 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:15.046692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a38ee273-fc62-4939-85bc-8ae6ca7618f4 · outbound

This paper cites Alharbi, S.

Estimating the Euclidean distortion of an orbit space Alharbi, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:15.035463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8d3a6211-cb02-4b08-aacb-709c100b35af · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 4

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:54:14.643461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e838828a-69eb-457c-82bd-06831675cb77 · outbound

This paper cites Andoni, A.

Estimating the Euclidean distortion of an orbit space Andoni, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:15.025668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d832bf34-1d72-4294-aaa2-2ff6e04afc6c · outbound

This paper cites Balan, P.

Estimating the Euclidean distortion of an orbit space Balan, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:15.016580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e648b48d-8a32-43a6-9a8b-107a291d05d6 · outbound

This paper cites Balan, C.

Estimating the Euclidean distortion of an orbit space Balan, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:15.007378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 938c2b23-3990-4fc3-917b-273402a0f766 · outbound

This paper cites Permutation Invariant Representations with Applications to Graph Deep Learning.

Estimating the Euclidean distortion of an orbit space Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:14.205336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 413f5d99-feff-4182-9ddf-60971bfa283a · outbound

This paper cites G-Invariant Representations using Coorbits: Bi-Lipschitz Properties.

Estimating the Euclidean distortion of an orbit space G-Invariant Representations using Coorbits: Bi-Lipschitz Properties

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:14.208959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df839fb4-5850-450c-814c-efb94eb957c1 · outbound

This paper cites Balan, Y.

Estimating the Euclidean distortion of an orbit space Balan, Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.997540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4beac1f4-bc9f-4cac-b227-59bff3cb8430 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.988114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3abfc6ff-bece-4422-9bcf-c1869e1dffb7 · outbound

This paper cites Burnside, On groups of order pαqβ, Proc.

Estimating the Euclidean distortion of an orbit space Burnside, On groups of order pαqβ, Proc

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.978151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1b7b07a4-a3f6-4798-a5e6-1358ac09f5d2 · outbound

This paper cites Cahill, P.

Estimating the Euclidean distortion of an orbit space Cahill, P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.968428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 82d890fb-7c35-4aa5-85d2-292a807c3da2 · outbound

This paper cites Cahill, J.

Estimating the Euclidean distortion of an orbit space Cahill, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.959173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4fb7885f-c758-461f-a789-b72fa9b885d1 · outbound

This paper cites Cahill, J.

Estimating the Euclidean distortion of an orbit space Cahill, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.949433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a03b408-a975-489e-ae4b-c4df78949174 · outbound

This paper cites Conca, D.

Estimating the Euclidean distortion of an orbit space Conca, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.939959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 88a57419-0ddc-4d68-9980-f654cb1fc373 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.930422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e633b4ae-d8f2-4e92-9484-259bad429407 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.920585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37f4a74e-b2c5-498c-8c2d-b7351f08967f · outbound

This paper cites Dadok, Polar Coordinates Induced by Actions of Compact Lie Groups, Trans.

Estimating the Euclidean distortion of an orbit space Dadok, Polar Coordinates Induced by Actions of Compact Lie Groups, Trans

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.911324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 34efc79a-b283-4cbe-96a0-7b353e82fafc · outbound

This paper cites Eriksson-Bique, Quantitative bi-Lipschitz embeddings of bounded-curvature man- ifolds and orbifolds, Geom.

Estimating the Euclidean distortion of an orbit space Eriksson-Bique, Quantitative bi-Lipschitz embeddings of bounded-curvature man- ifolds and orbifolds, Geom

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.901424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 448bcc49-efab-432f-abe7-a0b552913c42 · outbound

This paper cites Federer, Geometric measure theory, Springer (2014).

Estimating the Euclidean distortion of an orbit space Federer, Geometric measure theory, Springer (2014)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.891912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21db0048-40d4-46bf-a427-1712a8234dc5 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.882194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 710a6938-ef4d-4e26-915c-803f2f2ad627 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.872163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f5e31e5-a62a-4d62-abc6-2e3dfbf75808 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.862105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e67917b9-280d-4a5a-b743-eef3e152345f · outbound

This paper cites Grove, Geometry of, and via, symmetries, Uni.

Estimating the Euclidean distortion of an orbit space Grove, Geometry of, and via, symmetries, Uni

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.852967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8273af98-aa60-4b0f-a4f6-ab2670e5c429 · outbound

This paper cites Haviv, O.

Estimating the Euclidean distortion of an orbit space Haviv, O

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.842794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 413b3c89-b9b2-4bfa-ad87-c082a4951b1e · outbound

This paper cites Heimendahl, M.

Estimating the Euclidean distortion of an orbit space Heimendahl, M

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:54:14.536077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 48d9020d-c1e9-4c63-ba37-5739e91706c4 · outbound

This paper cites Hu, Cohomology theory in topological groups, Mich.

Estimating the Euclidean distortion of an orbit space Hu, Cohomology theory in topological groups, Mich

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.833621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a76d04be-fde6-439c-a2de-58ecbbdcf480 · outbound

This paper cites Hyt¨ onen, J.

Estimating the Euclidean distortion of an orbit space Hyt¨ onen, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.823879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c3cf685-e9e3-4f7c-b7e2-806d0e918919 · outbound

This paper cites Jones, A.

Estimating the Euclidean distortion of an orbit space Jones, A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.813836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63031946-7d16-476c-a124-aaaf93c85271 · outbound

This paper cites Kapovich, A note on properly discontinuous actions, S˜ ao Paulo J.

Estimating the Euclidean distortion of an orbit space Kapovich, A note on properly discontinuous actions, S˜ ao Paulo J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.803535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 18c2bfb0-efcb-409e-b455-30aa2cd72638 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.792071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 772b6929-8843-4b8f-8961-f7d13bd53b3b · outbound

This paper cites Kramer, Some remarks on proper actions, proper metric spaces, and buildings, Adv.

Estimating the Euclidean distortion of an orbit space Kramer, Some remarks on proper actions, proper metric spaces, and buildings, Adv

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.780802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27ed0364-bc5a-4824-b520-554d4d76ba01 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.771066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9a46921-fa3d-4ad1-9326-08f1d2bda563 · outbound

This paper cites MacBeath, The classification of non-euclidean plane crystallographic groups, Canad.

Estimating the Euclidean distortion of an orbit space MacBeath, The classification of non-euclidean plane crystallographic groups, Canad

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.761056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bc41e617-115f-49a2-8b44-c01b99b30033 · outbound

This paper cites Makarychev, Y.

Estimating the Euclidean distortion of an orbit space Makarychev, Y

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.751524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57b677f1-36c3-42bd-b683-2e765818c5ad · outbound

This paper cites Miranda, R.

Estimating the Euclidean distortion of an orbit space Miranda, R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.741995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c90e65e0-d4f4-4cee-98d4-f85af7f77fe6 · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.732548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2b132c5a-69aa-442f-9bbe-e4cb554216ba · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.723258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation baf98f19-2796-4dc3-bdc4-b3f9e117d8ce · outbound

This paper cites Qaddura, A max filtering local stability theorem with application to weighted phase retrieval and cryo-EM, arxiv:2403.14042.

Estimating the Euclidean distortion of an orbit space Qaddura, A max filtering local stability theorem with application to weighted phase retrieval and cryo-EM, arxiv:2403.14042

Reference 40

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:54:14.451453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4c61df3d-bd11-4e33-a902-8aa509648240 · outbound

This paper cites Salamon, Measure and integration, London EMS (2016).

Estimating the Euclidean distortion of an orbit space Salamon, Measure and integration, London EMS (2016)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.713495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 59ea3837-d7da-4e9b-9dc3-f66a2a8f781a · outbound

This paper cites Steenrod, The topology of fibre bundles, Princeton university press, vol 14 (1999).

Estimating the Euclidean distortion of an orbit space Steenrod, The topology of fibre bundles, Princeton university press, vol 14 (1999)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.703287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 735eb308-3dd3-4501-a7bf-9de69a0af2eb · outbound

This paper cites Vallentin, P.

Estimating the Euclidean distortion of an orbit space Vallentin, P

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.693241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2f9fdcef-cc85-4230-9817-d7f96f309999 · outbound

This paper cites De Vries, The local weight of an effective locally compact transformation group and the dimension of L2(G), Coll.

Estimating the Euclidean distortion of an orbit space De Vries, The local weight of an effective locally compact transformation group and the dimension of L2(G), Coll

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:14.682701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53581af7-bceb-463d-b98c-3892aae6fe8a · outbound

This paper cites an unresolved cited work.

Estimating the Euclidean distortion of an orbit space Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:54:14.671175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65df9b6b-407d-4840-ba12-fb1c2fadd294 · outbound

This paper cites Bi-Lipschitz embeddings of $SRA$-free spaces into Euclidean spaces.

Estimating the Euclidean distortion of an orbit space Bi-Lipschitz embeddings of $SRA$-free spaces into Euclidean spaces

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:54:14.366219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation d28815e3-868d-4e30-84c9-124b00eb4c59 · inbound

Coarea Reduction, Sparse Transfer, and Geometric Recomposition for Synchronized Singular Forms cites this paper.

Coarea Reduction, Sparse Transfer, and Geometric Recomposition for Synchronized Singular Forms Estimating the Euclidean distortion of an orbit space

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T19:27:34.750863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.