Paper Citation Record · LEDGER

Effective short intervals containing primes

As of 14 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2508.18786.

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

pith.paper-citation-record.v1
2508.18786 v3

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:21:21.523198Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

11 of 11 outbound references displayed

verified exact5
verified fuzzy3
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 92f63fae-d9b2-4ef3-bab1-2033ca5cde41 · outbound

This paper cites Primzahlprobleme in der Analysis.

Effective short intervals containing primes Primzahlprobleme in der Analysis

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:21:21.750350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 120f4129-68c5-4b1c-a24f-52af8f5c2638 · outbound

This paper cites Uber den Primzahlsatz von Herrn Hoheisel.

Effective short intervals containing primes Uber den Primzahlsatz von Herrn Hoheisel

Reference 2

Resolution: verified exact; doi, observed 2026-08-05T16:21:21.556153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f742b5c1-2f26-448c-aa45-180864a0e9f1 · outbound

This paper cites The Difference Between Consecutive Primes, II.

Effective short intervals containing primes The Difference Between Consecutive Primes, II

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:21:21.738455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cb76ddb4-2e1e-41d5-aff7-e1846bb6bdc5 · outbound

This paper cites Primes between consecutive powers.

Effective short intervals containing primes Primes between consecutive powers

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:21:21.690870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b9b6e385-e17a-4ae9-8887-ba8b28eefb64 · outbound

This paper cites On the error term in the explicit formula of Riemann--von Mangoldt.

Effective short intervals containing primes On the error term in the explicit formula of Riemann--von Mangoldt

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:21:21.674813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18734245-25a8-4817-8eff-5b8980034ab2 · outbound

This paper cites On the error term in the explicit formula of Riemann–von Mangoldt. II.

Effective short intervals containing primes On the error term in the explicit formula of Riemann–von Mangoldt. II

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T16:21:21.504101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85dbbe95-8879-483d-804b-7245be0f289a · outbound

This paper cites An Explicit Result for Primes Between Cubes.

Effective short intervals containing primes An Explicit Result for Primes Between Cubes

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:21:21.588260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b2745d6-588f-4353-86b3-9f9938a9478f · outbound

This paper cites Prime gap.

Effective short intervals containing primes Prime gap

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:21:21.725503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f3173dc-b856-48e2-b932-d4a6ab095a74 · outbound

This paper cites an unresolved cited work.

Effective short intervals containing primes Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:21:21.714244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c6cb1725-8e72-4d40-904d-795dfdaf144f · outbound

This paper cites an unresolved cited work.

Effective short intervals containing primes Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:21:21.703210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4ceadeeb-f23b-4286-a843-87cee16fdcae · outbound

This paper cites Explicit Interval Estimates for Prime Numbers.

Effective short intervals containing primes Explicit Interval Estimates for Prime Numbers

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:21:21.572828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.