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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:48.260747Z digest=sha256:eea90eda676cc123192f524b093f0b075032fdbbe5ff6a5dc324dd844b0ce385

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:48.497499Z digest=sha256:78d3b8955da4abc6d6c432c0a0cfe599166df418fa7bf219469353dc2b795e2d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:48.604747Z digest=sha256:b6bce4370d42741555bfa9a4393a7b12659464adf3cd8911dd00159d77fecf02

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:48.773670Z digest=sha256:fbe5987438461b77bfb14a9d18809f7a929644f3d97d38d771fe557b3900b842

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:48.941790Z digest=sha256:97a8e0a90d5c92f7fdbd6ceee03105b472de2f70dfaff917bd056500223047e0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:49.266832Z digest=sha256:a545879c76900453eca5f7532ffcee95b5d57e9f8d1d78cbb22f67a880a08fe3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:49.366286Z digest=sha256:94ddb361142d41acb2bf320a0c8ae745656f7904bdb3e2e5eace499ff599c4b3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:49.542309Z digest=sha256:324f72d57b551e76c88c7b85d4ed312c493448176f1a0524a0c565ad483262bc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:49.764734Z digest=sha256:2dc51241073a350f8836c591ae2aeb90f99d67908ef979ecf30f4aec795ec659

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.002972Z digest=sha256:6ed10bee857be30445d68492156c95b8f823b5840d631e91641a24d6f09f9721

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.146237Z digest=sha256:9285c5a3704bbddd2a882e77e29c046e3a91419233d6586cdf6d31769a0ae370

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.308508Z digest=sha256:fed08a26432eb9e8373322283e16d10839600bb55726d63045af07ad0f48c50c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.459711Z digest=sha256:ddce27fcb8a2e548059c60ad18fe961243923d3742745dd9d80639ae628d46c8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.605695Z digest=sha256:29a7cf55a4b895651a4d60009452631bb46d091147e1363572cfdaa938fbfa14

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.711665Z digest=sha256:3cd0ee56617a01556f7606bfe0da76498f2f540e46b5fa22e28723408cae1720

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.793530Z digest=sha256:94f4b6c497782135cd2b5df6f01cfd68452edcb7c19922869a1d4886b7ec6bb0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:50.917943Z digest=sha256:0f5473cf34b43b0078b01b9960cf2d67efd7da4e5855a8d93ff40866130bafe4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:48:51.044107Z digest=sha256:89940356900f6387bd08fcabae80d96820b0b6fff4e444caa495c544adc1206f

Pith citing papers

No inbound Pith citation observations are available.