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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:33.574624Z digest=sha256:45baca32e1861751468787c552a6969f520fdb705c48412d8e203a357bd1536f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:33.624105Z digest=sha256:ffbcfffa9d35ed0182aba1310e0c6d9dc56bb3d9f246e280ee51e54c58103f79

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:33.685212Z digest=sha256:6130a79819d96ce5bf399f2d86e449e198b2a2f1f693f66f7068046825f50431

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:33.773895Z digest=sha256:edb69de9a3197d48c4d021e1517c18b229c1600eb9be274855c74dcc6a89524c

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:33.917948Z digest=sha256:4456e606275ad823b9165d59799373ffa995a31dfe3838abb78a5be35470c480

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.043119Z digest=sha256:47e81c6dfc8a6ea0ea8fc1e4c1dd4f0d01ff9062eb30f06ff848b68369926c0b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.108010Z digest=sha256:01b8d0ed111d85c04a3a03a0cfea9f16086268d1e117d86403adf1755f6e9eb3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.161556Z digest=sha256:78e492d1fbc83dc893e0bfebf2c27e96fe48f9876e00f4c953484c62eadd8865

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.231554Z digest=sha256:2df21dd4d730cb5562846e63267f5fdc026fd750a71c6ce9b7b2e5e9d2f16057

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.359857Z digest=sha256:f712cedf022b9175a7cdc8748b37b5d16767f7d2a716c3a115d83ca7812f9ea4

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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=sha256:224b5f9802c3e25124992597aefa7dcb9d3c4ada0ea20f2332104db24677e92c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.692638Z digest=sha256:87547fcbc40906a258045bc36a5ddec70ae6875e8363bda2e52d1193c366ef90

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.764293Z digest=sha256:1b84342749d6cdfbfaf962f5cc43ea5b391fe3f2260ce1d94c042acc7ece81df

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.817462Z digest=sha256:022bc065e13b80f954a645eedc3f915b67afc6039c5bd578aebd12b3ed5ea370

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.866818Z digest=sha256:ea8da3fd38abd11b556af95f77bb06a29cba2d7007b912b9b4dc0a364a796542

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:34.959752Z digest=sha256:de4624d71f2c7c4c5393fee2b4ac282767e2c3420e83f9a573ea0dbaed711bd9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:35.044977Z digest=sha256:50b219bd9acb6376f187af9bf00e8b2157d1c213744456086f2a1df0eaf7f19d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:35.120387Z digest=sha256:7f220b395d494b1116720aa75f3ae5bb37a9c4031a58f2ec2030c2a58b77e08c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:35.191268Z digest=sha256:7881313d0ce724d0e9e2851a05e688340b09602399630b9bb1ad4903a4b33b67

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:35.246311Z digest=sha256:fc2f17f745a8f89bb0b6d829dae266d37a48caf49a5563fb01d573a12a949fca

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:13:35.303871Z digest=sha256:1e5313fa8c798d0dc9500c2cd0625ab4fa9ec81763d4c5647245b124e5cdf8f1

Pith citing papers

No inbound Pith citation observations are available.