Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-23T19:22:05.227767Z
Paper Citation Record · LEDGER
Bounds on the exceptional set in the $abc$ conjecture
As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 4 inbound Pith citation observations for arXiv:2410.12234.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:43:35.603955Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-09T04:45:58.695020Z
Reference resolution
12 of 12 outbound references displayed
- verified exact1
- verified fuzzy11
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 59f20f78-ca0c-486b-9330-ce85e39e0fb0 · outbound
This paper cites The Bombieri-Pila determinant method.
Bounds on the exceptional set in the $abc$ conjecture The Bombieri-Pila determinant method
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T19:23:21.794625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 872d97ae-86b0-4171-b3dd-79bfa2e17097 · outbound
This paper cites Bombieri and J.
Bounds on the exceptional set in the $abc$ conjecture Bombieri and J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.892299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 001453a7-cecf-4c11-a6dd-e6461cdeacd6 · outbound
This paper cites Bombieri and W.M.
Bounds on the exceptional set in the $abc$ conjecture Bombieri and W.M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.895936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5b067b54-d83a-4b40-b405-2a563b109b72 · outbound
This paper cites de Bruijn, On the number of integers ⩽ x whose prime factors divide n.
Bounds on the exceptional set in the $abc$ conjecture de Bruijn, On the number of integers ⩽ x whose prime factors divide n
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.899945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 65e03af3-806d-499e-ad60-3c9cdc45f338 · outbound
This paper cites Darmon and A.
Bounds on the exceptional set in the $abc$ conjecture Darmon and A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.903396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c864a77f-5e24-4061-bcb9-cd057048a7c5 · outbound
This paper cites Heath-Brown, Diophantine approximation with square-free numbers.
Bounds on the exceptional set in the $abc$ conjecture Heath-Brown, Diophantine approximation with square-free numbers
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.906722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 48e42cc0-e886-4826-949e-4237b2eb2ecd · outbound
This paper cites Heath-Brown, The density of rational points on cubic surfaces.
Bounds on the exceptional set in the $abc$ conjecture Heath-Brown, The density of rational points on cubic surfaces
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.885515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4649f6d4-4693-477a-8c92-8dec025eee19 · outbound
This paper cites Heath-Brown, Counting rational points on algebraic varieties.
Bounds on the exceptional set in the $abc$ conjecture Heath-Brown, Counting rational points on algebraic varieties
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.881817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 43696492-d9da-425c-a1bb-dbb1217c65f5 · outbound
This paper cites Kane, On the number of ABC solutions with restricted radical sizes.
Bounds on the exceptional set in the $abc$ conjecture Kane, On the number of ABC solutions with restricted radical sizes
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.888981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 85b46f3f-806d-4c49-9497-ab8c00a3f91d · outbound
This paper cites Mazur, Questions about powers of numbers.
Bounds on the exceptional set in the $abc$ conjecture Mazur, Questions about powers of numbers
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.874577Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 47c624b9-8055-483b-9599-e7c4ada75599 · outbound
This paper cites Pasten, The largest prime factor of n2 + 1 and improvements on subexponential ABC.
Bounds on the exceptional set in the $abc$ conjecture Pasten, The largest prime factor of n2 + 1 and improvements on subexponential ABC
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.871137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e28ed9ef-720b-4aef-8518-339f3c6c21ef · outbound
This paper cites Stewart and K.R.
Bounds on the exceptional set in the $abc$ conjecture Stewart and K.R
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T19:28:22.878256Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation 14e24cad-7ab3-4c42-82f9-06da4c5f63db · inbound
The $abc$ conjecture is true almost always cites this paper.
The $abc$ conjecture is true almost always Bounds on the exceptional set in the $abc$ conjecture
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:43:35.603955Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aca4953d-31bb-4f21-8c60-848e177cd777 · inbound
On the exceptional set in the $abc$ conjecture cites this paper.
On the exceptional set in the $abc$ conjecture Bounds on the exceptional set in the $abc$ conjecture
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T23:57:36.661734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbbd3fa9-1b71-44cd-a279-efe92f5bfd88 · inbound
The $abc$ Conjecture Revisited cites this paper.
The $abc$ Conjecture Revisited Bounds on the exceptional set in the $abc$ conjecture
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T04:45:58.696343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 47fbc2ef-dff1-480b-9358-402d62d0743d · inbound
The $abc$ Conjecture Revisited cites this paper.
The $abc$ Conjecture Revisited Bounds on the exceptional set in the $abc$ conjecture
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:16:40.940955Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.