Pith. sign in

Paper Citation Record · LEDGER

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2507.04150.

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

pith.paper-citation-record.v1
2507.04150 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:13:35.303871Z

measured 33 of 33 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

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55ca62df-875a-4ce5-afdc-824edf436205 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:40.114040Z

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.

source=pdf_text observed=2026-08-06T20:13:33.314903Z digest=sha256:3039e5e6b4a4c4d5b45c18be73b29b7a57ae18dab10990c2cccc6d8de29549db

Observation d92e9a2b-602b-4d22-9bf5-8afa47c8a220 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:39.816239Z

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.

source=pdf_text observed=2026-08-06T20:13:33.361993Z digest=sha256:d89eea3a9119d5fd42644232bddb07ea92d4ed84afc565fb3c4ae971afc94f88

Observation 8433920b-6e30-4d7e-8ce5-01d7c2152289 · outbound

This paper cites Bettin and A.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Bettin and A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:39.645163Z

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.

source=pdf_text observed=2026-08-06T20:13:33.444331Z digest=sha256:d17e7811fc49e299f6a6e6e827f4beb9755c85b19fdc0fa9b637f75d3c89ff8a

Observation 2f240ca4-6a15-4de0-a780-4e19ff6e339d · outbound

This paper cites Billingsley.Probability and Measure.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Billingsley.Probability and Measure

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:39.460745Z

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.

source=pdf_text observed=2026-08-06T20:13:33.512391Z digest=sha256:d41c39b81f68e3b8b52537609652c0035c53ffef3b34510a828d42a6944b5ea6

Observation c8d1defa-f968-429f-8235-bf9e8ff176b8 · outbound

This paper cites Bombieri and D.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Bombieri and D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:39.290094Z

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.

source=pdf_text observed=2026-08-06T20:13:33.574624Z digest=sha256:bc29afb117bbd6542b8bb64de7db2def28ff625263d7ce28e415a3bf2ceb2828

Observation ca026c67-ef17-4e25-8219-f1c4c9cb5f48 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:39.085573Z

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.

source=pdf_text observed=2026-08-06T20:13:33.624105Z digest=sha256:6e2f679268cf8b34dbf6d1643b87190d888f67e121370cee81c615927e5fd98e

Observation 19509f96-9888-458c-8966-aa14ce4a15d3 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.955007Z

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.

source=pdf_text observed=2026-08-06T20:13:33.685212Z digest=sha256:3b08bd80a2f86293ce683e0b85f9fc6c1eb8875eccce7d11f6d7209860466dc1

Observation 7bea0331-4300-49e8-8875-42701d004e5a · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.820808Z

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.

source=pdf_text observed=2026-08-06T20:13:33.718408Z digest=sha256:82946924b6241fe3f5f83b16273e12b1b9841fd462d962c54fa1943ad9af06b9

Observation 53c1e850-3f4c-46e4-ac97-1e46507271d5 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.682036Z

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.

source=pdf_text observed=2026-08-06T20:13:33.773895Z digest=sha256:96e89f3b3e62788661b4cfc6cb84be9b942481ecd806ff6b6e8cc82812be572e

Observation 0a0dc68a-063a-4bb2-8320-1c1e28ca07b0 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.521335Z

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.

source=pdf_text observed=2026-08-06T20:13:33.822423Z digest=sha256:dae630d8583e99a80155f1618513ba976d84f7a79524a26e7aab3f5964c60253

Observation b4ab326d-f083-4467-804e-16b3116083c7 · outbound

This paper cites The third moment of the logarithm of zeta and a twisted pair correlation conjecture.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros The third moment of the logarithm of zeta and a twisted pair correlation conjecture

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:13:35.467757Z

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.

source=pdf_text observed=2026-08-06T20:13:33.868033Z digest=sha256:f217bc3829826745649d00c1d5d5ea81fdbcb36ecbeeffbc44c60b32310764f9

Observation 3610cc13-ec6b-4408-9b60-f48147f5ddf9 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.370137Z

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.

source=pdf_text observed=2026-08-06T20:13:33.917948Z digest=sha256:53d4de694130db97bd692f7af7e0c5fb3f46f44aed408512d6fe205980905080

Observation 740cb5b2-7709-4778-bac0-34fa9dda89d1 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.214485Z

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.

source=pdf_text observed=2026-08-06T20:13:33.972487Z digest=sha256:7b59e589fd1ceb86e4e3e85d1988963bd53ea91c9bec111bce6662f6451bf8e1

Observation c518df77-ee0b-4760-8a3f-26bca34aea50 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:38.011595Z

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.

source=pdf_text observed=2026-08-06T20:13:34.043119Z digest=sha256:d3dd3b1c65a0b9ba7a6edda5cef25ee1d4bd8ffe59d828071517d4bede333226

Observation 8f268610-2ea1-4eb2-b778-762d44c47dd8 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:37.879745Z

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.

source=pdf_text observed=2026-08-06T20:13:34.108010Z digest=sha256:aad3807df7a6e10f13540af62abed28128cb65f4d6421871afebab9b7800bb19

Observation 6ac4d176-723f-4b87-90a7-f612a9b71f46 · outbound

This paper cites Iwaniec and E.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Iwaniec and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:37.748005Z

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.

source=pdf_text observed=2026-08-06T20:13:34.161556Z digest=sha256:354ddd7c75ce376bac7c6956c8d7ebc27323ab2635f3ae56b4b5c83484efc782

Observation ef0b0105-29a7-4e90-bbd7-232acb37ee14 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:37.621996Z

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.

source=pdf_text observed=2026-08-06T20:13:34.231554Z digest=sha256:2498a07ae96a074af0ad9a9d82a51a6cb290eafcfc65f904796330cfae2e413d

Observation 6a3ae4a1-cfb6-4083-b40a-f45415c5bc7c · outbound

This paper cites Kowalski.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Kowalski

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:37.513035Z

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.

source=pdf_text observed=2026-08-06T20:13:34.284701Z digest=sha256:028083baec760dbad0f3284d3e16358be164313bd17c9c17b6d5236e66cc8d5f

Observation c2eb6f07-e83f-459b-92be-709a14e35483 · outbound

This paper cites Laurinčikas.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Laurinčikas

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:37.371249Z

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.

source=pdf_text observed=2026-08-06T20:13:34.359857Z digest=sha256:614f9bb2b7193b21df7dc52a8237df20734a7bb80309ee362bcffe0e824b1b33

Observation 6e1f7ea7-e114-4633-9b1c-da68488ec937 · outbound

This paper cites Laurinčikas.Limit Theorems for the Riemann Zeta-Function.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Laurinčikas.Limit Theorems for the Riemann Zeta-Function

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:37.234475Z

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.

source=pdf_text observed=2026-08-06T20:13:34.429601Z digest=sha256:c457c75313ccef09bffcd87ea9a753666770d76a06cbe4aa6dbe28ddaf98e863

Observation bc5d11ab-0134-4a6d-9377-1b3699924858 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:37.130111Z

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.

source=pdf_text observed=2026-08-06T20:13:34.511412Z digest=sha256:dd35006ca5dd8be3f74902f9209f221d6ce61739ab2a36dd2eb9febcfd2015de

Observation a2cb2d26-aa2c-45d2-b248-5599d61a413a · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:37.008373Z

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.

source=pdf_text observed=2026-08-06T20:13:34.565659Z digest=sha256:e339698e8d00c003e6b81de231673590a2bad4bb56900177efcadcad867d4f68

Observation d9d6ec6e-5b1c-45a7-bbdf-708a04714302 · outbound

This paper cites Large deviations in Selberg's central limit theorem.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Large deviations in Selberg's central limit theorem

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T20:13:34.639493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:13:34.639493Z digest=sha256:a7a5f35e84c0fd2a6261c5850ce24ea69d73b2cf0b97406983913ce7d208d77f

Observation d43ff79f-93e5-461d-b369-43501cb933dd · outbound

This paper cites Radziwiłł and K.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Radziwiłł and K

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:36.890809Z

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.

source=pdf_text observed=2026-08-06T20:13:34.692638Z digest=sha256:ba9eb9ca3b032cf43f55403f71679f6bca7ee9fe66ecbdbc4b636f6530ac69b0

Observation 2c94f622-8409-44b3-b386-fb0e80547e6d · outbound

This paper cites Rudnick and P.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Rudnick and P

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:36.741448Z

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.

source=pdf_text observed=2026-08-06T20:13:34.764293Z digest=sha256:4a559ab9553860a2d56b8b031037996cdc46a8c5e81748294cd78fb0880be18f

Observation f60e00ea-3132-4620-8694-8248243b2ca1 · outbound

This paper cites Rudnick and P.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Rudnick and P

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:36.636514Z

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.

source=pdf_text observed=2026-08-06T20:13:34.817462Z digest=sha256:1c6650803e4b1489f41af59f157eab7f2b6fc875ca4d78dbd2dfe0554616c6ad

Observation f205cec1-fc31-4a12-8a8a-6d08ed705d01 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:36.525425Z

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.

source=pdf_text observed=2026-08-06T20:13:34.866818Z digest=sha256:c99f1012c438bd325db5a0a0d8f6994db29a1e4e04030a4b77b960164bb619c2

Observation 65915ad3-b09f-4b5f-b51b-f944b2f5bc67 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:36.375926Z

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.

source=pdf_text observed=2026-08-06T20:13:34.959752Z digest=sha256:bc9b00bdd9b4c09a3838ea5c781f87e20fcb83e845bcbb9d6fb1dfcf79919c84

Observation ff6409d5-5f7a-4a81-bced-e7f7cd77a678 · outbound

This paper cites Sugiyama.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Sugiyama

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:36.197054Z

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.

source=pdf_text observed=2026-08-06T20:13:35.044977Z digest=sha256:143e6f51ba589591df3b718d4d07831c5d2057d8b25e9a851c4ceb0654658306

Observation 272e4dfb-6a40-4e67-9132-d12da47c0cba · outbound

This paper cites Sugiyama and A.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Sugiyama and A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:13:36.053562Z

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.

source=pdf_text observed=2026-08-06T20:13:35.120387Z digest=sha256:2593354e7bcbac3eb4285acde533e9a6b5049dc756d68f9e5dd7ff82ae43f18e

Observation f49b2248-162e-455a-8ee4-2a356aa9f339 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:35.871546Z

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.

source=pdf_text observed=2026-08-06T20:13:35.191268Z digest=sha256:17bc33547a429edda675ce224375c5960e2b1ca251ca7184c7c86869c780b5a2

Observation 1e4aba3b-5c58-4c5a-b740-0ee5988f3803 · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:35.773211Z

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.

source=pdf_text observed=2026-08-06T20:13:35.246311Z digest=sha256:08613587c6642972e8903047888b842984e431f78842dcaa4ac914c3274a4e0d

Observation 7d83cd5e-56d6-4a02-8c2b-4b46eeab7d6e · outbound

This paper cites an unresolved cited work.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:13:35.641010Z

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.

source=pdf_text observed=2026-08-06T20:13:35.303871Z digest=sha256:ddcb9dd21760e64eb351cb6b8f174229e012512270679ce73a037611bd2ce4c7

Pith citing papers

No inbound Pith citation observations are available.