Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:43:36.012773Z
Paper Citation Record · LEDGER
The $abc$ conjecture is true almost always
As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2505.13991.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:57:36.666414Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T23:57:36.694616Z
Reference resolution
7 of 7 outbound references displayed
- verified exact0
- verified fuzzy2
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 428e118e-9043-4812-9d41-d940f4fe38dc · outbound
This paper cites The Bombieri-Pila determinant method.
The $abc$ conjecture is true almost always The Bombieri-Pila determinant method
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:43:35.466108Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14e24cad-7ab3-4c42-82f9-06da4c5f63db · outbound
This paper cites Bounds on the exceptional set in the $abc$ conjecture.
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 c1998fb0-cbb6-42cf-b755-9c7c7d22fff7 · outbound
This paper cites an unresolved cited work.
The $abc$ conjecture is true almost always Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:43:36.897920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 385e0b9d-0aad-4694-a337-2d76b5ad1ffb · outbound
This paper cites Granville, T.
The $abc$ conjecture is true almost always Granville, T
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:43:36.714937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6095ca5e-a81a-4e34-b408-309c4bd1bf43 · outbound
This paper cites Pasten, The largest prime factor of n2 + 1 and improvements on subexponential ABC.
The $abc$ conjecture is true almost always Pasten, The largest prime factor of n2 + 1 and improvements on subexponential ABC
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:43:35.857716Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fea3e5c4-77d4-403f-a91e-9ea732a46211 · outbound
This paper cites an unresolved cited work.
The $abc$ conjecture is true almost always Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:43:36.456533Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 317c7ae8-715d-4570-b4f0-468175e62aff · outbound
This paper cites Robert, C.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:43:36.255955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation 45fb7986-ef0d-44a7-9e96-b3200df76304 · inbound
On the exceptional set in the $abc$ conjecture cites this paper.
On the exceptional set in the $abc$ conjecture The $abc$ conjecture is true almost always
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T23:57:36.700340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.