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Paper Citation Record · LEDGER

Moments of the shifted prime divisor function

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2505.24050.

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

pith.paper-citation-record.v1
2505.24050 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:48:51.044107Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact3
  • verified fuzzy10
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff9b25cd-439e-47aa-9e43-7b164196f604 · outbound

This paper cites an unresolved cited work.

Moments of the shifted prime divisor function Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:48:56.035857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:48.260747Z digest=sha256:055a6b42d0a081c6b764822c1d9b4fb6d9b447e8e7d72afc0a409ffbe70b40c1

Observation 7d74e583-d109-4769-8d85-e10b17eb2477 · outbound

This paper cites Ding,On a conjecture of M.

Moments of the shifted prime divisor function Ding,On a conjecture of M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:55.828220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:48.497499Z digest=sha256:eb1674862d809dc7535fd3b31be2f59d00bcccb01ca0a76bbd7f19eedd1566d1

Observation 50fb7025-2b71-4def-8c81-faec769b1281 · outbound

This paper cites On a conjecture of R. M. Murty and V. K. Murty II.

Moments of the shifted prime divisor function On a conjecture of R. M. Murty and V. K. Murty II

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:48:52.146756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:48.604747Z digest=sha256:2c8e6785eb52b4cd5d0273cc28f94786b863834cced086ee0ff40ee2cb956c1e

Observation 172159d8-7bc8-4eea-80af-e383ebe9cdd9 · outbound

This paper cites Erd ˝os, K.

Moments of the shifted prime divisor function Erd ˝os, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:55.617650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:48.773670Z digest=sha256:4c8a1b7df01bc6ab1bd39bf259c24e3de7a8e94589f31591a9552c74347b0264

Observation f188cd00-d9c7-4f9e-8c32-f84cc5633cb6 · outbound

This paper cites The shifted prime-divisor function over shifted primes.

Moments of the shifted prime divisor function The shifted prime-divisor function over shifted primes

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:48:51.793993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:48.941790Z digest=sha256:26a78c66fd9fa78ec24338ae072c562dec147ce2cf4c13bf603353ddbc3d6835

Observation d1dfd3ce-175b-4f61-ab78-78a5af42aa6b · outbound

This paper cites Shifted-prime divisors.

Moments of the shifted prime divisor function Shifted-prime divisors

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T12:48:49.086208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:48:49.086208Z digest=sha256:de770615837211589946facfdf4ba17aad7497ff07a18af8d2feeabea560374b

Observation aae3fd46-9ea2-4724-99ab-4a29e3e94ef8 · outbound

This paper cites Ford, Integers divisible by a large shifted prime, Acta Arithmetica 178 (2017), no.

Moments of the shifted prime divisor function Ford, Integers divisible by a large shifted prime, Acta Arithmetica 178 (2017), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:55.566844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:49.266832Z digest=sha256:3641775d0f4fe2a99482eda25e983645466b0a2bc99ef64ee0ebae86f4947e24

Observation 1f707751-635e-4c45-84ec-6aa923facc83 · outbound

This paper cites an unresolved cited work.

Moments of the shifted prime divisor function Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:48:55.384269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:49.366286Z digest=sha256:fd0226c0c30b2444dd4b1376c666d5cc683e0b6edbc7c1550968b53e1e896a9a

Observation 88ff9481-9cff-471e-99df-e319b0c3b1a2 · outbound

This paper cites Halberstam, H.E.

Moments of the shifted prime divisor function Halberstam, H.E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:55.111253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:49.542309Z digest=sha256:eeac52165af3792ef66c8a6b79acbf3a99211cc1c0ed1612067471ac95abcfd2

Observation 3f3ee777-cacd-48d3-b6a2-f1b877a0de15 · outbound

This paper cites an unresolved cited work.

Moments of the shifted prime divisor function Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:48:54.854758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:49.764734Z digest=sha256:20f66d36083d8d6aa3e72f4e1a6904dd268ae010185a254e02d9395018561a14

Observation 2c0e59d9-42f8-4d16-a394-707151d06926 · outbound

This paper cites Koukoulopolos, Distribution of prime numbers, V ol.

Moments of the shifted prime divisor function Koukoulopolos, Distribution of prime numbers, V ol

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:54.579467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.002972Z digest=sha256:03b34979e3be3ffefdd4143c48bd9203be1a7255f503122fa64673b93c54e86d

Observation c4ef438d-d262-46d2-aaa1-7ce1f6cec90a · outbound

This paper cites The $r$th moment of the divisor function: an elementary approach.

Moments of the shifted prime divisor function The $r$th moment of the divisor function: an elementary approach

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:48:51.465499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.146237Z digest=sha256:b108368032e9ac7a716052777edaa8ce4ed96e1faa359212eb191634b289856c

Observation 0adf11ab-8fcc-42ab-a26e-82a5c5bdd3bb · outbound

This paper cites Maier, Chains of large gaps between consecutive primes, Adv.

Moments of the shifted prime divisor function Maier, Chains of large gaps between consecutive primes, Adv

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:54.316784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.308508Z digest=sha256:dd411a89ae349a794623cc085dd6f9cab1f9ceaf58870b0a556c9dfecbcf61bc

Observation 5185bd40-244d-4565-869e-5ed94880c1a2 · outbound

This paper cites McNew, P.

Moments of the shifted prime divisor function McNew, P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:54.031971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.459711Z digest=sha256:70a6b15eadf918a2760cadbc6573ee45b9809b7b174e9a953cee4ce1b32cbcdc

Observation dd109972-5c0e-4bd7-8699-4983ea7ad2f3 · outbound

This paper cites an unresolved cited work.

Moments of the shifted prime divisor function Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:48:53.747137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.605695Z digest=sha256:ce6e069fe0519e303ead3f90824c36a3120e7afddb235e86fd5172387562b876

Observation da8dee31-fdcc-470e-89db-045be90f99c9 · outbound

This paper cites Pollack, Nonnegative multiplicative functions on sifted sets, and the square roots of ´1 modulo shifted primes, Glasg.

Moments of the shifted prime divisor function Pollack, Nonnegative multiplicative functions on sifted sets, and the square roots of ´1 modulo shifted primes, Glasg

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:53.425404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.711665Z digest=sha256:5a0f0a251751b0a3e2f743b90daa729a2bd42008523243b8a0e3ed130a6045b4

Observation a13410b1-e866-4da3-9346-b2f3d3c2c56c · outbound

This paper cites Prachar, ¨Uber die Anzahl der Teiler einer nat¨urlichen Zahl, welche die Formp´ 1 haben, Monatsh.

Moments of the shifted prime divisor function Prachar, ¨Uber die Anzahl der Teiler einer nat¨urlichen Zahl, welche die Formp´ 1 haben, Monatsh

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:53.156287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.793530Z digest=sha256:6fcf4b23a688f5c7e442b13cb08dde8e1c3b3dd8123201cf652c2d58056ed494

Observation f46420df-3d7d-4006-acbb-21b54a69f47a · outbound

This paper cites an unresolved cited work.

Moments of the shifted prime divisor function Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:48:52.816902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:50.917943Z digest=sha256:3569fbd8ad6fe4968932ff4518ae86819585d6f577c12dbcf0be0e61067a0dfd

Observation f2c1fe41-1404-4fc4-86f8-007f0708aa7e · outbound

This paper cites Wirsing, Das asymptotische Verhalten von Summen ¨uber multiplikative Funktionen II, Acta Mathematica Academiae Scientiarum Hungaricae, Tomus 18 (3–4), (1967), 411–467.

Moments of the shifted prime divisor function Wirsing, Das asymptotische Verhalten von Summen ¨uber multiplikative Funktionen II, Acta Mathematica Academiae Scientiarum Hungaricae, Tomus 18 (3–4), (1967), 411–467

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:48:52.531013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:51.044107Z digest=sha256:96cc017342e0603e0511a6e06173f3d16b2e6c25fb452b684e39ca60132f16c5

Pith citing papers

No inbound Pith citation observations are available.