Paper Citation Record · LEDGER

Roth's Theorem in Super Smooth Numbers

As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2510.18024.

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

pith.paper-citation-record.v1
2510.18024 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:03:30.640464Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 294075a1-4b9a-4040-bd67-bffdb38e6dce · outbound

This paper cites Balog and C.

Roth's Theorem in Super Smooth Numbers Balog and C

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.037327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d87b4980-c1fc-40fc-a7fc-dcac3bb7cf58 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.144451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a76bcf81-871f-4d0f-9644-4dbfe10aca3c · outbound

This paper cites de la Bret` eche and G.

Roth's Theorem in Super Smooth Numbers de la Bret` eche and G

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.205018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0fe224a-8c67-4af3-99a1-28c24f6dcc76 · outbound

This paper cites de la Bret` eche and G.

Roth's Theorem in Super Smooth Numbers de la Bret` eche and G

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.338079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7d4c972-aab8-48d3-9c05-ed6d9f0eb47c · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.496183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 179aa46f-bdc3-491f-9838-5926f882a183 · outbound

This paper cites Erd˝ os and P.

Roth's Theorem in Super Smooth Numbers Erd˝ os and P

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.611720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61d48cc5-8d90-4aa9-a008-2d1b6eab338e · outbound

This paper cites Fouvry and G.

Roth's Theorem in Super Smooth Numbers Fouvry and G

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.751362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cb09a7f-983d-4614-95d5-41074e8f9028 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:28.928948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cc7ad3c-52e9-4d79-bc14-c945241a3458 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.144591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1b8fcae-c58c-4042-b24e-c201bd46cc28 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.333799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42cccf77-bba7-4095-a15a-7dae304b29c6 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.482591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6d803ba-0904-4a85-8db3-cb42b39ace97 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.624854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88d9f3f3-7b3e-41b4-ac41-ecad1d0c1fdb · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.701355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cd6f954-26a3-442f-aaee-7b17351174e0 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.750721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fce8cc3-7bb5-4461-b500-b6b3957941d7 · outbound

This paper cites Kelley and R.

Roth's Theorem in Super Smooth Numbers Kelley and R

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.824172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e9d2a0a-7c12-419b-99a6-d63f09f42da7 · outbound

This paper cites Improved Bounds for Szemer\'{e}di's Theorem.

Roth's Theorem in Super Smooth Numbers Improved Bounds for Szemer\'{e}di's Theorem

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:29.931923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54f64258-7c36-407c-9d1b-5932a3912a4f · outbound

This paper cites Smooth numbers are orthogonal to nilsequences.

Roth's Theorem in Super Smooth Numbers Smooth numbers are orthogonal to nilsequences

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:30.043339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba72b390-0659-49c7-b17e-98370ba2af4a · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:30.201347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7b478f5-c14a-48c8-a016-26185d5b9d83 · outbound

This paper cites an unresolved cited work.

Roth's Theorem in Super Smooth Numbers Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:30.369602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87a38903-671a-433b-ba29-f024839ec31e · outbound

This paper cites Soundararajan, ‘The distribution of smooth numbers in arithmetic progressions’,in: Anatomy of Integers, in: CRM Proc.

Roth's Theorem in Super Smooth Numbers Soundararajan, ‘The distribution of smooth numbers in arithmetic progressions’,in: Anatomy of Integers, in: CRM Proc

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:30.501928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fa1cb1e-b623-46f8-956b-d4c4d1b5e3f5 · outbound

This paper cites Szemer´ edi., ‘On sets of integers containing nokelements in arithmetic progression’,Acta Arith.,27, 199–245, 1975.

Roth's Theorem in Super Smooth Numbers Szemer´ edi., ‘On sets of integers containing nokelements in arithmetic progression’,Acta Arith.,27, 199–245, 1975

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T09:03:30.640464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.