Paper Citation Record · LEDGER

Erd\H{o}s--Falconer distance conjecture from an analytic perspective

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2607.05926.

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

pith.paper-citation-record.v1
2607.05926 v3

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:13:15.070310Z

measured 24 of 24 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:35:47.172362Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

verified exact0
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1aa9c6bc-ad71-4511-b4ca-b515f4058497 · outbound

This paper cites Chapman, M.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Chapman, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:11.958964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fbf49f2-f503-42d0-bc60-4aea19412436 · outbound

This paper cites Additive structures imply more distances in $\mathbb{F}_q^d$.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Additive structures imply more distances in $\mathbb{F}_q^d$

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.066269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a3d9b18-d149-4ff4-b6e2-09ffceb9879f · outbound

This paper cites Cilleruelo, A.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Cilleruelo, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.288088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac5ed8c3-1380-4a76-bb68-c34e411aab76 · outbound

This paper cites Fan,Minimax theorems, Proceedings of the National Academy of Sciences of the United States of America,39(1) (1953), 42–47.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Fan,Minimax theorems, Proceedings of the National Academy of Sciences of the United States of America,39(1) (1953), 42–47

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.498393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6b5f154-5bd0-4095-897b-c2e71aa01f16 · outbound

This paper cites $L^p$ averages of the Fourier transform in finite fields.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective $L^p$ averages of the Fourier transform in finite fields

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.659340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8267532-7824-4d6e-926c-ecaf269211ef · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.721422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59c8aeb7-c597-4325-9361-02eaf80da722 · outbound

This paper cites Iosevich and M.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Iosevich and M

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.803475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7e170c3-66cd-42f3-808e-4f33f1c63c95 · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.909898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7a80fef-cf07-41be-9881-13f10341319e · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:12.998012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c22c7363-aacd-426c-9866-44693e2586f4 · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:13.074318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57ea6b83-d6fb-47e3-a03b-69c071b0bbd0 · outbound

This paper cites Koh and H.-S.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Koh and H.-S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:13.204209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b516505e-2736-4435-b6ee-f1cfe6d47c48 · outbound

This paper cites Lichtin,Distance and sum–product problems over finitep-adic rings, Proceedings of the London Mathematical Society,118(6) (2019), 1450–1470.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Lichtin,Distance and sum–product problems over finitep-adic rings, Proceedings of the London Mathematical Society,118(6) (2019), 1450–1470

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:13.348081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77d6fe40-f1c2-439f-a1a8-b71cecc56351 · outbound

This paper cites Murphy, G.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Murphy, G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:13.552024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26cbf581-dbfd-4a48-927e-844deac0187b · outbound

This paper cites Nikaidô,On von Neumann’s minimax theorem, Pacific Journal of Mathematics,4(1) (1954), 65–72.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Nikaidô,On von Neumann’s minimax theorem, Pacific Journal of Mathematics,4(1) (1954), 65–72

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:13.692278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 929e7ced-2457-44e0-a4c8-bf5361aa6d12 · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:13.897743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26d2ff8c-1e0e-458b-b236-3a28bc341275 · outbound

This paper cites Pham and A.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Pham and A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.061271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4466c0d-0b85-47ba-9441-0d68ffdfd0ac · outbound

This paper cites Pham and L.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Pham and L

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.212041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21852f99-159d-49db-8997-abddf02c18b0 · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.382308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b18535b0-fde2-4785-8e5f-6dd2b1908b8e · outbound

This paper cites On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.522723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66ec9aa3-7151-468b-9a61-e14dac77afe3 · outbound

This paper cites Pham and S.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Pham and S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.655150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 149b2483-d3d7-4e9f-8107-887669034114 · outbound

This paper cites Sion,On general minimax theorems, Pacific Journal of Mathematics,8(1) (1958), 171– 176.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Sion,On general minimax theorems, Pacific Journal of Mathematics,8(1) (1958), 171– 176

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.787510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bbdb4b7-8b3d-4fe2-b7a0-b46d794bed77 · outbound

This paper cites Weil,On some exponential sums, Proceedings of the National Academy of Sciences of the United States of America,34(5) (1948), 204–207.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective Weil,On some exponential sums, Proceedings of the National Academy of Sciences of the United States of America,34(5) (1948), 204–207

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:14.929010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 603ee268-21b3-4daf-bb51-9846f8aca567 · outbound

This paper cites A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields.

Erd\H{o}s--Falconer distance conjecture from an analytic perspective A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T02:13:15.070310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 58881814-816a-469a-8aad-7cbfb6243371 · inbound

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

On Erdos-Falconer distance problem in even dimensions Erd\H{o}s--Falconer distance conjecture from an analytic perspective

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T18:35:47.172362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.