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Paper Citation Record · LEDGER

Moments of the shifted prime divisor function

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:48.260747Z digest=sha256:244c2380c3bc3146735db554d1eb4d184ae2d7257b4e5e55208c902fab2d39d7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:48.497499Z digest=sha256:c37b3ec5d79938633e42191162b25e465cc3c255d0eea297d547b89f34bef128

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:48.604747Z digest=sha256:92168b79b758d9da1368add2122701e35842036759148324f8c0626204d06ff9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:48.773670Z digest=sha256:d85d1e7c4df338290ae60456fbd0ca28f567e19ad18d430b32f0f02ac4318c59

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:48.941790Z digest=sha256:d3781ad52b0a6fdab62a6577f86d707faecc441e189d8320c7ab5aec4bd4f33b

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=sha256:1093647fe11009eacb2dbc5322e93ddef4ae676ece6b7384ab1c753e242876af

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:49.266832Z digest=sha256:cab99e1af93826282aabd3fe8875f1e98a4dd75b2e7bad04fcb02ff4b6eda51c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:49.366286Z digest=sha256:114fab1702d25ec11ff2ed72635a9217d1def7f97fa05b680bfe0876be26d032

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:49.542309Z digest=sha256:5413579f7d35871fae54021a5e244bf6eabae6a4828a6eac9c264f1324266198

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:49.764734Z digest=sha256:479f1c7200daeee2fdcf497c581fe932b09f3eb0deeee41a38706dd5b7699b80

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.002972Z digest=sha256:84cf1feae6be57b037aaec4efc94e2a27171f44b8dd751a534cbbaddb649eff0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.146237Z digest=sha256:f7a60e758071ccdcb8389f510a51a86a73bbc62987aea9bf92c0cc9de7e4c156

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.308508Z digest=sha256:80c89ad6134ac92452e16e38c9c32fc08cee1a014c1ec9412d04f0c900c1d742

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.459711Z digest=sha256:57da25123dcf4aa126bc48c4cd62a2b087b2dbf8bf0defa245f69e2f4408eaef

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.605695Z digest=sha256:bb199324a574f7255c37006bc26b74b65cdcd0992421c0dcc6a916fc9ba1183b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.711665Z digest=sha256:5540628a1effea3eccff053418a6ddbc7d5190fdd02a3bbc8a8536082238b602

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.793530Z digest=sha256:a80977c47177a151fcca8a900ded11a0b63ea6d189fd2e9a8d08f7f119f16c3f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:50.917943Z digest=sha256:540ac81699f8d412aca3f60f9f27993d84bf92cb82e3b3f3aeee3ea6ddc0f04d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:48:51.044107Z digest=sha256:c6dfd1c2a99beb230f5ebb51cce12a2eaef20c5ef17947805358b3a2a8db1e19

Pith citing papers

No inbound Pith citation observations are available.