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Paper Citation Record · LEDGER

The $abc$ Conjecture Revisited

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.07641.

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

pith.paper-citation-record.v1
2607.07641 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:16:40.994482Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a654053-2ba8-4408-a704-afec1e54e2ed · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.936862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.936862Z digest=sha256:aad9317bbc9dd50779e12de5051b40199ff9dcb83acdef0dd388092cb5b79b80

Observation 47fbc2ef-dff1-480b-9358-402d62d0743d · outbound

This paper cites Bounds on the exceptional set in the $abc$ conjecture.

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.

source=pdf_text observed=2026-08-02T08:16:40.940955Z digest=sha256:d13ef55bcdaa7dc75258c47f66cbcc25f1453f08be0ab0c387aeea00b50101d9

Observation 0593bd5d-566b-4c96-9ab8-2d1036b7ded8 · outbound

This paper cites and Nicolas J.-L.,Sur la fonction: nombre de facteurs premiers deN, Enseign.

The $abc$ Conjecture Revisited and Nicolas J.-L.,Sur la fonction: nombre de facteurs premiers deN, Enseign

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.944595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.944595Z digest=sha256:80b6b6ac81e9fdbf82a6945951dc1d48136a4e9943cb350c41a3e5714509bcc2

Observation 80474f56-d41d-47d8-bddc-e297d813f157 · outbound

This paper cites and Tucker T.

The $abc$ Conjecture Revisited and Tucker T

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.947794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.947794Z digest=sha256:cc553edf78fe3c47e4742c2bdcc2f2c4d0331d0010f0253730e6e09f2b81d3c3

Observation 70b9311b-1be9-4830-bede-5274bf5ef8a7 · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.950847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.950847Z digest=sha256:7b015f287686c6dce8c6cceeab5671ae8a55a8a5a6ad78be72ccf6cd6fc17d66

Observation 194d57d0-2903-4e3f-86bd-8acafc6725e2 · outbound

This paper cites and Doyon N., `A propos de l’indice de composition des nom- bres, Monatsh.

The $abc$ Conjecture Revisited and Doyon N., `A propos de l’indice de composition des nom- bres, Monatsh

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.954043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.954043Z digest=sha256:a232be9c56d173156b87e6f6891fa9d73e4f6fbfc279e51d5daba7929b4f03a9

Observation 6728098b-e759-4991-ade0-5c9fd8cb0822 · outbound

This paper cites and Letendre P.,New upper bounds for the number of divisors function, Colloq.

The $abc$ Conjecture Revisited and Letendre P.,New upper bounds for the number of divisors function, Colloq

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.957243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.957243Z digest=sha256:45959e6707457c936e9cae5007d5eb52a45303cac16ff89904f6da944bb7ab2a

Observation e37478e9-6080-4e76-9097-1f07a64c6b46 · outbound

This paper cites and Luca F.,Analytic number theory: Exploring the anatomy of integers, Grad.

The $abc$ Conjecture Revisited and Luca F.,Analytic number theory: Exploring the anatomy of integers, Grad

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.960221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.960221Z digest=sha256:c1ef328f857ceabd91ba89c31d88d8e5e84b7745a902af363ba781a41b55af97

Observation 33216349-6ff6-4c1b-a449-a250384993fe · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.962945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.962945Z digest=sha256:4c12d4e7acdf442170ad060d57e31f4f7358461d1ccff1f54fe0213812d21047

Observation 9c7ad3ba-8837-4a47-8736-6d3d39b5ec3b · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.965837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.965837Z digest=sha256:48cf64d013e22d90306d21d481094ade813ff7d7829a70faa43e04ffd1f5adce

Observation ad6506c0-e770-4301-ad67-eb1f3b9d8002 · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.968783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.968783Z digest=sha256:488f54e0ac7ff002f8984e54c45667e578a6a1106129862f2f9c22d81165127c

Observation 8c459a31-9935-4199-b9c0-2e00f14e64c9 · outbound

This paper cites and Miao W.,abctriples, Funct.

The $abc$ Conjecture Revisited and Miao W.,abctriples, Funct

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.971584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.971584Z digest=sha256:aa328370cf3ca5f64a9f20344321f9f3fb01e8d390e8246f48d0fe77071a54a8

Observation d7e17bf8-3677-4966-a55b-6145ade72d3b · outbound

This paper cites C.,Diophantine equations over function fields, London Math.

The $abc$ Conjecture Revisited C.,Diophantine equations over function fields, London Math

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.974326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.974326Z digest=sha256:f50344730e1d9098d42cb199d49ac824f16a93f4830c2dda9f5207b583b79b4d

Observation fe8b27b9-86e8-4116-b50c-8bd6d1db226c · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.977244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.977244Z digest=sha256:1310c71a40302463228cea5970e48d444e8e9a0e18cfc77722ef3ede0aba9905

Observation 4ddfeba9-e0df-40a8-bca9-d46523babe8b · outbound

This paper cites th´ eor` eme.

The $abc$ Conjecture Revisited th´ eor` eme

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.980291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.980291Z digest=sha256:3d459360c35d2eb9c5c973a9362f6faee8279ae42cb7d596bbc102b69ddbf11e

Observation 8943e051-505f-4cb1-a87a-7f756a39b587 · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.983163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.983163Z digest=sha256:4eff44e58024473f188a2a86f1092ead8238baba5bf91cae84e245a80d8135af

Observation 8b482155-a67c-4df0-9cac-c6c344ff565d · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.985920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.985920Z digest=sha256:6076df7b09be1b7d808061ff6ab5686a00a661040fac487e5582ac0aa1f09f36

Observation 7f31cd32-e2e1-46f0-abf6-b5aa3f79cea7 · outbound

This paper cites W.,Polynomial identities and Hauptmoduln, Quart.

The $abc$ Conjecture Revisited W.,Polynomial identities and Hauptmoduln, Quart

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.988764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.988764Z digest=sha256:d73fa277fc315cfb1856cd75a99d2f33ecc90c293286696b437824304f47826f

Observation 386fdd34-7de8-4826-ab79-be88197b6bea · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.991733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.991733Z digest=sha256:881d3d0c527e9aeb353d285a078c415bed017d8f2d6d51527c6a5d5be127bd4d

Observation 1ee6f0f2-9750-4f23-9352-8290a93bf94d · outbound

This paper cites an unresolved cited work.

The $abc$ Conjecture Revisited Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T08:16:40.994482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:16:40.994482Z digest=sha256:68546eedde96f0f87f488debd148cb46278a66902e85527a3d2225e6258937e7

Pith citing papers

No inbound Pith citation observations are available.