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Paper Citation Record · LEDGER

The Fourier coefficients of the critical holomorphic multiplicative chaos

As of 21 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2508.13849.

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

pith.paper-citation-record.v1
2508.13849 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:20:46.132122Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:49:50.350393Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-11T04:49:50.763380Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact6
  • verified fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f342c0e-8ce1-401b-a483-1498f44fb7c8 · outbound

This paper cites Aggarwal, U.

The Fourier coefficients of the critical holomorphic multiplicative chaos Aggarwal, U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:20:46.753598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.013500Z digest=sha256:99e26be63454469995375325de576a73aed8e77af674ab16a32ce800f78af896

Observation c9bf4114-032e-429d-9b17-14a225a4a002 · outbound

This paper cites Aggarwal, U.

The Fourier coefficients of the critical holomorphic multiplicative chaos Aggarwal, U

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:20:46.736641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.020236Z digest=sha256:cd0136ec4e16c7ae913d866ac529b4db3331b51e074c24fb165d28447d0b0b6d

Observation 71643396-df4d-4c36-a750-a9812c1f360a · outbound

This paper cites Arratia, A.

The Fourier coefficients of the critical holomorphic multiplicative chaos Arratia, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:20:46.716810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.026473Z digest=sha256:112de40299cd2a32f09971acd883e58869565267c74eab28b1f90cc507aff0b8

Observation 873602bb-1c71-4abd-8edd-5c249b0e193a · outbound

This paper cites an unresolved cited work.

The Fourier coefficients of the critical holomorphic multiplicative chaos Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-15T17:20:46.288418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.031865Z digest=sha256:ee4adac5d39fadad60b6512198d24c137d493f3f1a8acc3fbb7b3cb9bdee20fb

Observation 28ad6b01-ccfd-4804-84db-21f7c783a111 · outbound

This paper cites Diaconis and M.

The Fourier coefficients of the critical holomorphic multiplicative chaos Diaconis and M

Reference 5

Resolution
verified exact
doi, observed 2026-08-15T17:20:46.268310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.037916Z digest=sha256:c6cf4757bef068ac99f469cdfebab7ef3a0d89e0fc4967cae1b4c04f79f5b9e4

Observation a04c8384-8936-46ec-93fa-1f10a75af307 · outbound

This paper cites Duplantier, R.

The Fourier coefficients of the critical holomorphic multiplicative chaos Duplantier, R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:20:46.698015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.043887Z digest=sha256:4a300b119d74b1ec984dc331c342971736db31605d15d34c23c1f6cc7e77fbf4

Observation 3fa3d005-aa48-43df-b3f0-e526b7c81735 · outbound

This paper cites Martingale central limit theorem for random multiplicative functions.

The Fourier coefficients of the critical holomorphic multiplicative chaos Martingale central limit theorem for random multiplicative functions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.050979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.050979Z digest=sha256:f765f51ab6243d5ddf908c51bd207cf78c82ca643db84302cac52610e5f1d848

Observation 4ace9297-8516-4c84-9ad1-c4b0417bd223 · outbound

This paper cites Gorodetsky and M.

The Fourier coefficients of the critical holomorphic multiplicative chaos Gorodetsky and M

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.056873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.056873Z digest=sha256:ac6a77253a7ab1779545462cfa4a4a82ae8eaebfb40b854d3c36423aac81bd18

Observation 86952dcb-a63c-4659-88ed-28bbef3960c0 · outbound

This paper cites Gorodetsky and M.

The Fourier coefficients of the critical holomorphic multiplicative chaos Gorodetsky and M

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.063667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.063667Z digest=sha256:1e24d39045d315a27f1d1d4822b12a46c85d650b0e48a4325678b98728a33b34

Observation bd5ebde4-dc6c-4bee-b045-d4cc58480c0d · outbound

This paper cites Hall and C.

The Fourier coefficients of the critical holomorphic multiplicative chaos Hall and C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:20:46.680115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.069801Z digest=sha256:408652316c303cdae6534ac51e725f26779a677d9ebc3501f35318fd22737e00

Observation 9fe6e1df-20df-4c60-a928-6b7da81a0479 · outbound

This paper cites an unresolved cited work.

The Fourier coefficients of the critical holomorphic multiplicative chaos Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.075765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.075765Z digest=sha256:e72fd07c772e4dd8d1c26b9f79e34b9314af563e0d0c39213abcd9e23aa6bb56

Observation 19398764-cf6b-4dc5-95ab-4432dcf4eb0b · outbound

This paper cites an unresolved cited work.

The Fourier coefficients of the critical holomorphic multiplicative chaos Unresolved cited work

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-15T17:20:46.465885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.083182Z digest=sha256:ba182e85909f2b80b3d8128bda7048d31c9cd337210168e6c62f818b346913f6

Observation 2beea9eb-5898-418a-bad9-10d68b3c7c6d · outbound

This paper cites Jiang and S.

The Fourier coefficients of the critical holomorphic multiplicative chaos Jiang and S

Reference 13

Resolution
verified exact
doi, observed 2026-08-15T17:20:46.236930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.090724Z digest=sha256:0ecd52083bc6a9f41a9a63f8be40edb06bbf3a1e645f098a9e98144217db7a17

Observation 4f2326d0-8ad6-48da-a32b-eec4413e9f6f · outbound

This paper cites Junnila and E.

The Fourier coefficients of the critical holomorphic multiplicative chaos Junnila and E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:20:46.663053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.097783Z digest=sha256:1fb19ff3a4a030f61259537f3f8ebb4630df9a4ee5dcddc30d70af4c080e1b88

Observation 1df3d5de-f18a-4f7e-933d-7cd6e9e5f66f · outbound

This paper cites an unresolved cited work.

The Fourier coefficients of the critical holomorphic multiplicative chaos Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-15T17:20:46.215492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.103101Z digest=sha256:017aefc4f55e81fffee71d5ce521f80e6b4fc03a09bd77113117d806827f4144

Observation 7c81cf62-1a66-4165-a70c-e92bb302f64c · outbound

This paper cites Najnudel, E.

The Fourier coefficients of the critical holomorphic multiplicative chaos Najnudel, E

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.109144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.109144Z digest=sha256:681a0df24b887ec8aa3c0a164c046fef75f8220c25ff60c5d375f35ae8e0ea22

Observation 1fc2c001-5c43-4b59-bcc5-fb4f11eb46df · outbound

This paper cites The Fourier coefficients of the holomorphic multiplicative chaos in the limit of large frequency.

The Fourier coefficients of the critical holomorphic multiplicative chaos The Fourier coefficients of the holomorphic multiplicative chaos in the limit of large frequency

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:20:46.315873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.114478Z digest=sha256:9008ef3a713468ab3d72aaf2a8a0f0d25d432b1b5b9e94602147ce46c99e2588

Observation e3bece36-0863-4bea-bd76-5af896e161c2 · outbound

This paper cites an unresolved cited work.

The Fourier coefficients of the critical holomorphic multiplicative chaos Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:20:46.645383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:20:46.120735Z digest=sha256:60387539cdd600316d5f0b9ec0d6eced648c659d19124114f23c8e1d7674dafc

Observation 9d78cae8-71b1-4ef8-9393-dcc390418041 · outbound

This paper cites an unresolved cited work.

The Fourier coefficients of the critical holomorphic multiplicative chaos Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.126538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.126538Z digest=sha256:bda04e5740be7658242cec03bdbb92e4ee07ece431cf1201bb71d62a1ef34990

Observation 98470c7b-317b-46f5-a6cd-38c714485664 · outbound

This paper cites Soundararajan and A.

The Fourier coefficients of the critical holomorphic multiplicative chaos Soundararajan and A

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T17:20:46.132122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:20:46.132122Z digest=sha256:e00c1059a9b654170b42a6f4aad04e430722eb681fa095c9c4cc5af397630e73

Pith citing papers

Observation 35c680d9-eebb-46d9-8d52-367d7b771051 · inbound

Central limit theorems for random multiplicative functions over function fields cites this paper.

Central limit theorems for random multiplicative functions over function fields The Fourier coefficients of the critical holomorphic multiplicative chaos

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T19:47:50.570089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T19:47:50.570089Z digest=sha256:e1aa38a07c0f2c4a5590df888a7f12d2ae47f80f90e06b62e3095387f665fac3

Observation c8fdbf7c-2394-4947-b624-6e16493d298a · inbound

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect cites this paper.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The Fourier coefficients of the critical holomorphic multiplicative chaos

Reference 23

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T04:49:50.767094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T04:49:50.350393Z digest=sha256:bcf8744dc73f6ce4e7f604b8bb554cd3e6fdeec24e2432793102e3664cd9c9a3