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Paper Citation Record · LEDGER

The $abc$ Conjecture Revisited

As of 9 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 2026-08-08T06:32:00.761636+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=sha256:4530670bda5bc0c5a3da7e1e277819b44cfe6acf93d8382bf6626c99ef34f00e

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=sha256:7a172d751a717125a25d9fa1b427409a154ebc1d9862e39cc9af66e0897e09b9

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=sha256:40941024206ca2fadf9c7e9b9bb5d17bd85b2baba71a22ad947645002e7699f7

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:fa649dcdfc5c3f23eb6f4aa651d5618374ce943e86b1e24dc7395c2a2cb4ae79

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:bd5e9a92200dd3ed93ae9a48de76643d139d4b800d19acf978a42f2ae65dc4a8

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=sha256:7267e7df902928f2a42413731d343d2243eb929d67d630c6da3c30630d744be1

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=sha256:8a7cc62d8f896ad0e2f68817747bc2527f2203fdf018dd419469026ba16e9b5f

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:a2b22e2e238e88191c12cc63c491eaf384b2b37a5ce16ab7af69fc690ac8c58d

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=sha256:04d45d6874242b1c3891dc9f93ec16a677f9c32358e249cb0611d0198adab20f

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=sha256:2981bb1d1b27ea87f9bcb713f90c2740f1b4ae46cdd2f7329903b1deaba95c5a

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=sha256:3454166144111844e99e3b327db2c2d3ee8f77a509b48baf907561f571e557b6

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:e2e5c7e45e98c51dd2fd4d7cf8200665c3acf84052b9b2e64121a17fd08d4a8e

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:aa7e1aa7cee22906f3b58c54191118f180a8c90822557f4b40fed4b109270b50

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=sha256:44b43452aab6d6bc413da7d34e62b4d92c93e305ffe043c15ea07fbc20ab304d

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:eb938226233b43bbedc2de770a8892d2f367be149191c1b4534f7509c70cec72

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=sha256:1b130235739a6ddaf7beced87f552039b733d0565928e4903ec8d98009455745

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:ac7f2bd9ee59ffda69d331fd83d973cbb26786bfaf19664bfd72f935d99d5cd2

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=sha256:865329410402f3ebb028ae8f17bd36c53b1512858e86a8e16da50b79c75faa37

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=sha256:7bf3202d50823ae988f0cef840b0e9cdd3bacf8e184abffd418ce21695b4adb5

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=sha256:75ce2bfe9cf05145f8f424aee9f86343fc99572920269208f4608017045866e1

Pith citing papers

No inbound Pith citation observations are available.