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Paper Citation Record · LEDGER

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.07251.

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

pith.paper-citation-record.v1
2506.07251 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:56:29.227290Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 107285d1-7b19-4bc6-959c-5f6827b402b2 · outbound

This paper cites Ahmadi and A.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Ahmadi and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.467807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.174215Z digest=sha256:a3671adbe8658158e13cd3065a77fa8ace0c173323f55337272fbab0b4b53806

Observation a5721511-d08e-4718-bca8-5e017054ff5c · outbound

This paper cites Bennett, D.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Bennett, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.458565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.178802Z digest=sha256:310ec2b463289c10f0d8b7bea8f6682ad1758e0dd5183a72f6326b27bd02f3ee

Observation ea203478-5292-46d6-b725-c54a1260ef9d · outbound

This paper cites A singular variant of the Falconer distance problem.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields A singular variant of the Falconer distance problem

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T05:56:29.182428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:56:29.182428Z digest=sha256:816e8d4f8b1d7962c0262e2594cd0152b4ef16343d634a4a54b22281be85f7c5

Observation 116c867d-7753-4f00-8c3e-848ff2c17ee9 · outbound

This paper cites Bourgain, N.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Bourgain, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.450148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.186704Z digest=sha256:b7bfbf161c3d34475cfc746a6faea02144d309412163c06de0ee6d63998ddfd0

Observation b19b0b5f-400e-4b21-9fc8-b155af785178 · outbound

This paper cites Chapman, M.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Chapman, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.442169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.190051Z digest=sha256:a452474fa05d7efa1f11f53773ffcaf07cf9c90700ed99c7071fc555cc809653

Observation 27d3b664-bff8-448b-9c06-0757f000d385 · outbound

This paper cites Cheong, D.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Cheong, D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.433714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.193043Z digest=sha256:7b21d5b3cfc616fb8cfe7d9a8d1635c71ea29cd034db02706834417721a35d3d

Observation 989efb78-200e-4f51-ad30-4a9d6e51e7db · outbound

This paper cites Grove, Classical Groups and Geometric Algebra , Grad.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Grove, Classical Groups and Geometric Algebra , Grad

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.425385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.196922Z digest=sha256:b8cb8298dbb2bc34084a0e91b497235b6cb6bcb4aeab560f9a80d5f818b329fe

Observation 167ab61b-4a98-4c35-8c07-4ca09e83b21f · outbound

This paper cites Hanson, B.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Hanson, B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.416633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.200077Z digest=sha256:9b4ebede558d4b2024fec25d81a5e10947e79150f106a3dc27f58a5087463ae0

Observation 2c1b4844-2f9e-4060-9d87-680d9649283f · outbound

This paper cites an unresolved cited work.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:56:29.333666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.202924Z digest=sha256:1b7cb6530e8f29714cf368103103d50d341bad790337f032844256d737efd85a

Observation dfc5f744-ffbe-42a9-a38f-e17b340f8bee · outbound

This paper cites Iosevich and M.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Iosevich and M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.325334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.206877Z digest=sha256:fc691456324f37bead09333669359673aba3df4268b71216bfb8ccdca3a8aff8

Observation 83833ae6-8c31-41ce-b19d-3a4c576b7879 · outbound

This paper cites Iwaniec, and E.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Iwaniec, and E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.316426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.209674Z digest=sha256:179142676471b217aa33ef7960662e1b661b7c0280a9db2bf510c4b4e4afd952

Observation e1ca0c16-b08d-49a8-a10c-fca831c769ec · outbound

This paper cites Iosevich, D.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Iosevich, D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.308511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.212620Z digest=sha256:6d45a7754e8ee1e36ec5fd117fdc559e49fc9a3c052569ae3cbef22aa2c07eb6

Observation 36aba529-6ad4-4dde-be89-27127fe3109e · outbound

This paper cites an unresolved cited work.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:56:29.299290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.215566Z digest=sha256:00b51235023ec9f149f3fce0243c9864f6fb986082559ccbf7b87679a7b3ec4a

Observation a0d9f9ce-518c-4306-8076-60ee9319b402 · outbound

This paper cites Koh and C.Y.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Koh and C.Y

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.290377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.218357Z digest=sha256:2f5a06b8ba97ab031667d4e9b2be328a33ba86fb6034ab8f488d505604121f69

Observation 5169b980-7b11-49f0-99d6-068572fe3558 · outbound

This paper cites Lidl and H.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Lidl and H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.281528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.221595Z digest=sha256:ac045289475080f2a4bc1d979a8a0fd26d79abd6c660467ae393ae223f8b71f4

Observation 3622fc39-05cf-4f86-878b-8f90d65d64f2 · outbound

This paper cites Murphy, G.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Murphy, G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.272095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.224362Z digest=sha256:851fd25c2f6e085d7767a031183ad3d327a753e79f652c6c9cda093a665585db

Observation c35b52c4-cac2-4b90-8cd1-56a399d1b285 · outbound

This paper cites Shparlinski, On the set of distance between two sets over finite fields , International Journal of Mathematics and Mathematical Sciences Volume 2006, Article ID 59482, Pa ges 1–5.

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields Shparlinski, On the set of distance between two sets over finite fields , International Journal of Mathematics and Mathematical Sciences Volume 2006, Article ID 59482, Pa ges 1–5

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:56:29.262068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:56:29.227290Z digest=sha256:bc9f9ad4081042e1f4c2d000791bfcb74550387b02e2011144b6f79475dfd1dd

Pith citing papers

No inbound Pith citation observations are available.