Pith. sign in

Paper Citation Record · LEDGER

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.07095.

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

pith.paper-citation-record.v1
1908.07095 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:35:38.545810Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc4b8f43-29e5-4093-9cc0-cd0b9954a9b2 · outbound

This paper cites an unresolved cited work.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:38.707571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.505831Z digest=sha256:919dace66320e469a382fb57899b7500c5a3626c81606149dde5eb274c6c598c

Observation 4c938e45-adfc-448b-b9c0-5e171d3ac945 · outbound

This paper cites an unresolved cited work.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:38.694543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.511176Z digest=sha256:32634c3b087d9c917b6d4b4b2cb5af18bb499650e5b5cb84dc9235cdb89a8351

Observation 2c36ea95-3e9e-481b-9d00-e266b1c15230 · outbound

This paper cites Sharper Bounds for the Chebyshev functions θ(x) and ψ(x). ii,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Sharper Bounds for the Chebyshev functions θ(x) and ψ(x). ii,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.678211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.515470Z digest=sha256:96d8e6a25eed74cc46ebe05e06eb7b72113a9023d9621b3c21ec5c8ed692c9d2

Observation 2a622c25-fdc7-4aa3-9885-d4bef736e3e4 · outbound

This paper cites Unexpected biases in the distribution of con- secutive primes,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Unexpected biases in the distribution of con- secutive primes,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.660537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.520051Z digest=sha256:e80c4f18899544ad924746a58236e43623b450ac78ab6c0380a901c8a050a49a

Observation 177f88b7-da86-4302-931a-b5fc6cb42f9a · outbound

This paper cites Lettre de M. le Professeur Tch´ ebychev ` a M. Fuss sur un nouveaux th´ eor` eme relatif aux nombres premiers contenus dans les formes 4n + 1 et 4n + 3,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Lettre de M. le Professeur Tch´ ebychev ` a M. Fuss sur un nouveaux th´ eor` eme relatif aux nombres premiers contenus dans les formes 4n + 1 et 4n + 3,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.646234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.524211Z digest=sha256:f345e5886924adf73cc35f3c4964f87817aee99ed8d49d388172d04584fcfc89

Observation adfbdcb2-32d4-4d9b-9564-bf1901b0ab47 · outbound

This paper cites Chebyshev’s bias,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Chebyshev’s bias,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.633345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.528625Z digest=sha256:46a05b298c5c8f27481cb7f14a00e15fdcfadae063e9978027471059a72770a8

Observation d89764ab-2d60-42f4-be66-16e1db0434ec · outbound

This paper cites Strings of congruent primes,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Strings of congruent primes,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.621038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.533233Z digest=sha256:a654bea600c230c0a9d744e7a685511208a72689b51efb78be03cba4b9ef0cb2

Observation f72e930c-ceca-4efb-abdd-26cac0caa0fe · outbound

This paper cites Dense clusters of primes in subsets,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Dense clusters of primes in subsets,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.608273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.537660Z digest=sha256:268f15b681d12e28aee970df06f029969510288ef4dbe591a1f3df07c093c0d4

Observation bf2dc272-f76f-4e6e-a0ee-03f9be879700 · outbound

This paper cites Primes in short intervals,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli Primes in short intervals,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.594871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.541878Z digest=sha256:c707e4ba7b0bc2405ee0db1403c1c92b4dc593200b3dff9799fac4ed2bb68267

Observation f8c72075-a4b2-4c02-9548-22335940cb41 · outbound

This paper cites On the distribution of primes in short intervals,.

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli On the distribution of primes in short intervals,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:38.581295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:35:38.545810Z digest=sha256:35d8f09f674312c2dac01f0dd40b1b9484bb1f6c342dc4e11b3924c9f82309fb

Pith citing papers

No inbound Pith citation observations are available.