Paper Citation Record · LEDGER

Almost primes between all squares

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2501.18048.

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

pith.paper-citation-record.v1
2501.18048 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T01:15:42.196017Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

18 of 18 outbound references displayed

verified exact0
verified fuzzy16
unresolved1
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d55ad22d-1350-4085-bca4-94b9b3ebd6c8 · outbound

This paper cites The difference between consecutive primes, II.

Almost primes between all squares The difference between consecutive primes, II

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.410790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5bcaefdf-89a4-4b55-a10b-744413c305ee · outbound

This paper cites An explicit version of Chen’s theorem and the linear sieve.

Almost primes between all squares An explicit version of Chen’s theorem and the linear sieve

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.400354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation efc6bc2e-4e11-40b2-a9f0-860be6ec04a9 · outbound

This paper cites Le crible d’Eratosth` ene et le th´ eor` eme de Goldbach.

Almost primes between all squares Le crible d’Eratosth` ene et le th´ eor` eme de Goldbach

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.389793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3673e365-1635-4b15-ab1e-57831d83841c · outbound

This paper cites On Chen’s theorem (II).

Almost primes between all squares On Chen’s theorem (II)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.378979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 63d0dfc1-ea7c-44fa-806a-e46e1b8a190b · outbound

This paper cites On the distribution of almost primes in an interval.

Almost primes between all squares On the distribution of almost primes in an interval

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.368404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d587a908-a811-43de-92fb-b9636c4da992 · outbound

This paper cites Primes between consecutive powers.

Almost primes between all squares Primes between consecutive powers

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.358108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ae503dec-83ad-4ca1-a5f6-465a60038992 · outbound

This paper cites An explicit result for primes between cubes.

Almost primes between all squares An explicit result for primes between cubes

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.348285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 630d73cc-5156-45d5-864f-e7f099069517 · outbound

This paper cites Most permutations power to a cycle of small prime length.

Almost primes between all squares Most permutations power to a cycle of small prime length

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.337785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f5bb0fc8-a803-4aaf-be55-c6ec829b9c18 · outbound

This paper cites an unresolved cited work.

Almost primes between all squares Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T01:15:42.326874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 608f72ea-2423-4a25-a7a4-c746da917885 · outbound

This paper cites Halberstam and H.

Almost primes between all squares Halberstam and H

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.316007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 946e89a8-20fa-4380-b8b2-eb5faf49f527 · outbound

This paper cites On the difference between consecutive primes.

Almost primes between all squares On the difference between consecutive primes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.305254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4feefad0-6430-491e-a9f0-d3bba865b6bc · outbound

This paper cites Neue Absch¨ atzungen auf Gund der Viggo Brunschen Siebmethode.

Almost primes between all squares Neue Absch¨ atzungen auf Gund der Viggo Brunschen Siebmethode

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.294215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 80000223-40b6-4e4b-a675-c7a44b84ccab · outbound

This paper cites Explicit zero-free regions for the Riemann zeta-function.

Almost primes between all squares Explicit zero-free regions for the Riemann zeta-function

Reference 13

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T01:15:42.282807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f1149c1f-c8c5-43c7-af6f-a8d6a2481df9 · outbound

This paper cites Landau’s problems on primes.

Almost primes between all squares Landau’s problems on primes

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.271279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d276f78-6951-4fd4-85fc-76acc0616e78 · outbound

This paper cites From explicit estimates for primes to explicit estimates for the M¨ obius function.

Almost primes between all squares From explicit estimates for primes to explicit estimates for the M¨ obius function

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.260740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad521a4e-0376-4225-867e-f8d4af36b344 · outbound

This paper cites Approximate formulas for some functions of prime numbers.

Almost primes between all squares Approximate formulas for some functions of prime numbers

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.249593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b6da8ca-6957-4df1-915d-9c55f7bb93ef · outbound

This paper cites An algorithm to verify Legendre’s conjecture up to 7 · 1013.

Almost primes between all squares An algorithm to verify Legendre’s conjecture up to 7 · 1013

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.238747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7ab0f69e-f074-4f13-acad-8c3fb6792626 · outbound

This paper cites Explicit Mertens Sums.

Almost primes between all squares Explicit Mertens Sums

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T01:15:42.226514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.