Paper Citation Record · LEDGER

A Constructive Heuristic Sieve for the Twin Prime Problem

As of 22 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2507.03107.

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

pith.paper-citation-record.v1
2507.03107 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:24:37.433826Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:24:37.271848Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T20:24:37.588908Z

Reference resolution

8 of 8 outbound references displayed

verified exact1
verified fuzzy5
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d3515fc0-a5bd-40ef-a5a8-fc6fc4f0f4b2 · outbound

This paper cites La série 1/5 + 1/7 + 1/11 + 1/13 +.

A Constructive Heuristic Sieve for the Twin Prime Problem La série 1/5 + 1/7 + 1/11 + 1/13 +

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:24:39.074927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a185c3b6-ef24-49e4-985a-7421ccaf463e · outbound

This paper cites an unresolved cited work.

A Constructive Heuristic Sieve for the Twin Prime Problem Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:24:38.914124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 500d13bd-a6de-4f30-a0e1-7d168633b412 · outbound

This paper cites Recherches nouvelles sur les nombres premiers.Comptes Rendus de l’Académie des Sciences de Paris, 29:397–401, 1849.

A Constructive Heuristic Sieve for the Twin Prime Problem Recherches nouvelles sur les nombres premiers.Comptes Rendus de l’Académie des Sciences de Paris, 29:397–401, 1849

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:24:38.707596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7f4bd15a-86b9-4435-9903-823d32eec7c5 · outbound

This paper cites Sur la distribution des zéros de la fonction ζ(s) et ses conséquences arithmétiques.

A Constructive Heuristic Sieve for the Twin Prime Problem Sur la distribution des zéros de la fonction ζ(s) et ses conséquences arithmétiques

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:24:38.520989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1eca7e20-8098-43ab-96e1-35aa39f0ece7 · outbound

This paper cites an unresolved cited work.

A Constructive Heuristic Sieve for the Twin Prime Problem Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:24:38.297375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb7e7608-1182-4a19-9a29-1ac4a39f50f2 · outbound

This paper cites Small gaps between primes.Annals of Mathematics, 181(1):383–413, 2015.

A Constructive Heuristic Sieve for the Twin Prime Problem Small gaps between primes.Annals of Mathematics, 181(1):383–413, 2015

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:24:38.085849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 31ecd219-791b-4c12-be9f-539eda63e21c · outbound

This paper cites A Constructive Heuristic Sieve for the Twin Prime Problem.

A Constructive Heuristic Sieve for the Twin Prime Problem A Constructive Heuristic Sieve for the Twin Prime Problem

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:24:37.643139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6f916c9e-5820-4042-8c7e-d362e58f1d98 · outbound

This paper cites Bounded gaps between primes.

A Constructive Heuristic Sieve for the Twin Prime Problem Bounded gaps between primes

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:24:37.872018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 31ecd219-791b-4c12-be9f-539eda63e21c · inbound