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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 2026-08-12T06:34:41.77262+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:f9d1c56da1a042068743bf4eb21f21eaccf31928e454a8cadd504af44b750e9d

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=sha256:42363d77958d584069364038ff4ecbfd80b0d8b006a79ae1f909eb7e1ca30dde

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=sha256:7e8548131c3c75399ca4c7620d745007d9b6df316b6ea40702b115ed6fcfcd40

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=sha256:10524cc145fb280b06fb6ee98da651d3fe53411e3368cddc403b9cab923be440

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=sha256:09532f8ae5f24912ac3cfaa2ceef6e5af914f4c5ae95a24c28fbe10ed901164d

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=sha256:43663ebfd585d4f0ef72af52faab0a4edeecef2cd8c6f3073e0f13eaefd49c52

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=sha256:7038c46625444af67d14c75e917b36095fe63adb536c903c3ec8aabc37ba2e9e

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=sha256:502cb61ab5d297b46e5e7a8430fc5ae6f8eca5d467234da5f087dd7c75eaccc3

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.

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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=sha256:21c34d82396f8b3d375f11348711372ed0d6af24ef895604e38c6c9d5429c081

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.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:13:33.917948Z digest=sha256:dd91630c0f71874a53f8430434c447454df13417a764c71c571bc4a8e427bf3c

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:b20d16b083da7f448816529c3d992584a3aacd16f5eb3b8b18c004c56fb5e9d5

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=sha256:8d91c8e340c8174eb8d853bab7f1b64fe5b03e7445be9e48b732582f5e6adf3d

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=sha256:421076767b382a3f7363a75a0a75f4318d55362b2cf63a312d952b898c458456

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:b58fd515c0a92fc513f86e62865b005ba300d333e621fb62e18b4a1817d58757

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:ebca477cb137f95f69749fe07c5de281f5dd1e6adaabd7999d32c6378cbccda3

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=sha256:2f7eb4d7b457abd827e63e05829c9e19e0046072fd713bf312a333496da16588

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=sha256:184787352cd67629a88afd1e8d0ed83a81c157843fd1d242ffb3e49f797adcd5

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:e294665981cbae3e781aa70fc14880ac490fa6a5c53eeb9e5c485febd1f111a7

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.

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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:13:34.692638Z digest=sha256:637a7b8ad43e7df66e35b255418d016fb2c622ee7169c71a2fa5ca0f97119534

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=sha256:69ff09eb6fad92359dc0c983dfb1525113ccbed3d85c0ba6ce2454cdaa3e4940

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=sha256:2052723318b0c4f951ab293cb3f602949849cfa3095406b74acee93a846af077

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=sha256:298851f42ada3668a5f4fedd7642ec2504f4b3d0a7bc982972f18747f37cae73

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=sha256:70db2cb9af93a3aff2dcb48738f2d7a3e3e3fea5d62134af2dc301763679e6b8

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:f7f93fb08e9ab51e995d72d5fcb46218f1a6d35b606027acacba0805aff66c31

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:f237f5cba566f3e792d7f77ec9c2508f5f27862310772f046ba2b5f5523c2565

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=sha256:2b8401dd38de26178244ba3c4a5a086c06d99be60b84ad6fd1b89b40a6e94570

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=sha256:5e5932ef1b3dd951560390f453010d20cd0fcbf847dec2ddf2f2b24c44684ee2

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:dcdc9835a174750ab3b10f914262b7c68c12da841d1bc37097d7d42795c3773c

Pith citing papers

No inbound Pith citation observations are available.