Paper Citation Record · LEDGER

Distribution of simplices in the discrete and continuous settings

As of 18 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.01274.

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

pith.paper-citation-record.v1
2608.01274 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:21:58.940043Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

36 of 36 outbound references displayed

verified exact3
verified fuzzy24
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ec67fc6-00fa-4195-8c32-4d3c7b7e6ccb · outbound

This paper cites Bennett, D.

Distribution of simplices in the discrete and continuous settings Bennett, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.618915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 39035d2d-52be-4c1f-9a54-eb0f17d17a5a · outbound

This paper cites Bennett, A.

Distribution of simplices in the discrete and continuous settings Bennett, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.604129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 097580f8-8273-4205-8c2e-f88be584503d · outbound

This paper cites Bennett, A.

Distribution of simplices in the discrete and continuous settings Bennett, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.588025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1db12678-1fc7-45f5-b3a7-d561d278fdd0 · outbound

This paper cites Borges, B.

Distribution of simplices in the discrete and continuous settings Borges, B

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T15:21:58.789909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94da322a-12c4-4220-a3ee-10fded70c1b4 · outbound

This paper cites From weighted paraboloid restriction to $k$-stars and distance graphs.

Distribution of simplices in the discrete and continuous settings From weighted paraboloid restriction to $k$-stars and distance graphs

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:21:59.043408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 35d425e7-f269-4422-a94a-9f6ebc6759a7 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.573433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 741238c6-ecb9-44e7-84fa-1c68a8581b1c · outbound

This paper cites Chapman, M.

Distribution of simplices in the discrete and continuous settings Chapman, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.558789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 45662068-4a37-4bae-bf22-dfa76c99d55a · outbound

This paper cites Du and R.

Distribution of simplices in the discrete and continuous settings Du and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.543389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fc027e37-8a85-4e08-93cb-e1b537144793 · outbound

This paper cites Erdoğan, D.

Distribution of simplices in the discrete and continuous settings Erdoğan, D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.528205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 48573b03-6a8f-4a59-a3ee-19de68941ef8 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.512674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd1805db-df4a-4dd8-94d3-45395b62e66a · outbound

This paper cites On Fourier decay and the distance set problem.

Distribution of simplices in the discrete and continuous settings On Fourier decay and the distance set problem

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T15:21:58.823598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbfb9f10-47dd-423c-9856-6495e7bc8700 · outbound

This paper cites Grafakos, A.

Distribution of simplices in the discrete and continuous settings Grafakos, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.497803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2ebc512d-72c0-44f4-911d-cdd0cccb0346 · outbound

This paper cites Greenleaf and A.

Distribution of simplices in the discrete and continuous settings Greenleaf and A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.482693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6f98fdf5-b84c-440e-94c4-319b204dae06 · outbound

This paper cites Greenleaf, A.

Distribution of simplices in the discrete and continuous settings Greenleaf, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.466699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1ea70476-8328-42c2-99ec-3f0f4c02b27d · outbound

This paper cites An elementary approach to simplexes in thin subsets of Euclidean space.

Distribution of simplices in the discrete and continuous settings An elementary approach to simplexes in thin subsets of Euclidean space

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:21:59.005204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e5dd83f3-c09f-4dbf-bdbf-1ec1dc95996d · outbound

This paper cites Greenleaf, A.

Distribution of simplices in the discrete and continuous settings Greenleaf, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.452134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ecab6a6-040f-4eed-8103-8f1f24d29232 · outbound

This paper cites Greenleaf, A.

Distribution of simplices in the discrete and continuous settings Greenleaf, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.437147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cfc9e1d4-3d0a-4a46-85c2-23c0380fc5f6 · outbound

This paper cites Iosevich and B.

Distribution of simplices in the discrete and continuous settings Iosevich and B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.421398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f5ae0924-cb0d-4f90-add6-33eef0f90738 · outbound

This paper cites Iosevich and B.

Distribution of simplices in the discrete and continuous settings Iosevich and B

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.406686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6036f622-2771-48c3-8522-b97aa089b1f0 · outbound

This paper cites Iosevich and A.

Distribution of simplices in the discrete and continuous settings Iosevich and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.391493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9af62764-63d8-4809-9af0-7d578f107782 · outbound

This paper cites Iosevich, M.-Q.

Distribution of simplices in the discrete and continuous settings Iosevich, M.-Q

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.376300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 31c0d08d-5d15-4a85-80a1-b7054df0c771 · outbound

This paper cites Iosevich and K.

Distribution of simplices in the discrete and continuous settings Iosevich and K

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.361286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation acf1836e-f87a-4f4a-8ff3-89609886dcc7 · outbound

This paper cites Koh and C.-Y.

Distribution of simplices in the discrete and continuous settings Koh and C.-Y

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.346660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a2dda604-e225-4b0e-9219-823637aeb3c7 · outbound

This paper cites Mattila,Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets, Mathematika,34, no.

Distribution of simplices in the discrete and continuous settings Mattila,Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets, Mathematika,34, no

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.331911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation be2ba8ab-fe1f-4656-aadd-6fbf7f1363b7 · outbound

This paper cites Mattila,Fourier Analysis and Hausdorff Dimension, Cambridge Studies in Advanced Mathematics, vol.

Distribution of simplices in the discrete and continuous settings Mattila,Fourier Analysis and Hausdorff Dimension, Cambridge Studies in Advanced Mathematics, vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.316996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 89ff470a-3d25-49ea-9589-18034c66258a · outbound

This paper cites McDonald,Congruence classes of large configurations in vector spaces over finite fields, Functiones et Approximatio Commentarii Mathematici,62, no.

Distribution of simplices in the discrete and continuous settings McDonald,Congruence classes of large configurations in vector spaces over finite fields, Functiones et Approximatio Commentarii Mathematici,62, no

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.301576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9257cb67-6696-4296-9d7b-4c51387c0360 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.286893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8be212c-ba49-4547-9d31-df38599acc66 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.272147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 85de8fd4-79f0-4535-a9f0-239babe459bc · outbound

This paper cites Parshall,Simplices over finite fields, Proceedings of the American Mathematical Society,145, no.

Distribution of simplices in the discrete and continuous settings Parshall,Simplices over finite fields, Proceedings of the American Mathematical Society,145, no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.257428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ecae0af2-a3ee-404c-bbb9-065cb0c81e0d · outbound

This paper cites Peres and W.

Distribution of simplices in the discrete and continuous settings Peres and W

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.241724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a800369-b6e4-4409-956d-a9a17d7f5c11 · outbound

This paper cites Pham,Triangles with one fixed side-length, a Furstenberg-type problem, and incidences in finite vector spaces, Forum Mathematicum,37, no.

Distribution of simplices in the discrete and continuous settings Pham,Triangles with one fixed side-length, a Furstenberg-type problem, and incidences in finite vector spaces, Forum Mathematicum,37, no

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.224768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9b1eb74a-9c5e-46a5-8674-21305733feb9 · outbound

This paper cites On Erdos-Falconer distance problem in even dimensions.

Distribution of simplices in the discrete and continuous settings On Erdos-Falconer distance problem in even dimensions

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:21:58.982483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1507f7b0-0afb-42d7-8bea-9493de1c8549 · outbound

This paper cites Schneider and W.

Distribution of simplices in the discrete and continuous settings Schneider and W

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:21:59.208507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 618adefa-4bd7-47ef-8ff1-ffd04d0e3263 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.192755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4d5991f7-1a01-4f0b-a31e-b35090b1cb81 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.177089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3279fc21-3da0-4655-80c0-63f1120e9d92 · outbound

This paper cites an unresolved cited work.

Distribution of simplices in the discrete and continuous settings Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:21:59.162101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.