Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2608.09906.

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

pith.paper-citation-record.v1
2608.09906 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:49:50.432624Z

measured 45 of 45 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

45 of 45 outbound references displayed

verified exact3
verified fuzzy25
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch5

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12e21b30-1203-4a9a-913e-a75ae646b69d · outbound

This paper cites Forum of Mathematics, Pi , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Forum of Mathematics, Pi , volume=

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.342169Z

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.

Observation 921d9e94-9648-4d56-bdfa-d90a3088a94f · outbound

This paper cites Algebra & Number Theory , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Algebra & Number Theory , volume=

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.331074Z

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.

Observation 37581635-2123-4424-9e3c-b268623e0091 · outbound

This paper cites 2007 , publisher=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect 2007 , publisher=

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.318747Z

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.

Observation ae2ea03d-8a58-4c25-81fc-35f37efb3353 · outbound

This paper cites Almost sure upper bound for random multiplicative functions.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Almost sure upper bound for random multiplicative functions

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T04:49:51.045116Z

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.

Observation b6c3d85d-355d-450d-9196-1469ad3b902a · outbound

This paper cites International Mathematics Research Notices , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect International Mathematics Research Notices , volume=

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.306685Z

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.

Observation a54ebd33-ce4b-4175-a5b3-fea73551b2ea · outbound

This paper cites Duke Mathematical Journal , number =.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Duke Mathematical Journal , number =

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.294549Z

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.

Observation b1033de5-20e9-4d43-969f-e4b633c72770 · outbound

This paper cites 2015 , publisher=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect 2015 , publisher=

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.282052Z

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.

Observation e1dfc572-966e-4557-84b7-b3a7d4c7e40e · outbound

This paper cites an unresolved cited work.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:49:51.270791Z

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.

Observation 1334dd2d-83ae-4177-9903-14f602da4399 · outbound

This paper cites International Mathematics Research Notices , volume =.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect International Mathematics Research Notices , volume =

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T04:49:50.465590Z

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.

Observation b8d7c8ec-a165-4528-9af5-c55b766af961 · outbound

This paper cites The limiting distribution of Legendre paths.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The limiting distribution of Legendre paths

Reference 10

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T04:49:51.030220Z

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.

Observation 128a75d8-6ff7-45d8-8937-e0b9453441fb · outbound

This paper cites arXiv preprint arXiv:2508.12956 , year=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect arXiv preprint arXiv:2508.12956 , year=

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.302398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47076645-d253-402f-a173-f74c09e1cd48 · outbound

This paper cites Basic properties of critical lognormal multiplicative chaos , volume =.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Basic properties of critical lognormal multiplicative chaos , volume =

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.259805Z

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.

Observation 3180a45a-3aa7-4a67-8891-027bd952d2e5 · outbound

This paper cites arXiv preprint arXiv:2511.03430 , year=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect arXiv preprint arXiv:2511.03430 , year=

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.309838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74b244db-0ff0-412f-b0ba-a6ca286915d7 · outbound

This paper cites Proceedings of the Royal Society of London.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Proceedings of the Royal Society of London

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.248555Z

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.

Observation 0d4f8d3c-6a4b-4843-b9c8-51bd5502b074 · outbound

This paper cites On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.318005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f40d650d-1c72-45c7-9155-bb8c2a99fd96 · outbound

This paper cites The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.322151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2902083-c19d-43f9-88e5-f1f41e728734 · outbound

This paper cites The Fyodorov-Hiary-Keating Conjecture. I.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The Fyodorov-Hiary-Keating Conjecture. I

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.326264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5566483f-9ce8-44bf-9827-9ed292ce0401 · outbound

This paper cites Communications on Pure and Applied Mathematics , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Communications on Pure and Applied Mathematics , volume=

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.236643Z

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.

Observation 3790707b-ceeb-4958-ab11-543b45225610 · outbound

This paper cites The Fyodorov-Hiary-Keating Conjecture. II.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The Fyodorov-Hiary-Keating Conjecture. II

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.334223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4fe8501-67c6-4486-86db-183faca39f33 · outbound

This paper cites The Annals of Probability , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The Annals of Probability , volume=

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.225601Z

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.

Observation 8ef33596-474c-4802-91b1-87647d0bb2f9 · outbound

This paper cites arXiv preprint arXiv:2506.16115 , year=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect arXiv preprint arXiv:2506.16115 , year=

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-11T04:49:50.832457Z

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.

Observation 78131eb1-f0b8-48ae-8bd0-ee6fd3aa4e11 · outbound

This paper cites Probability Theory and Related Fields , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Probability Theory and Related Fields , volume=

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.213366Z

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.

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

This paper cites The Fourier coefficients of the critical holomorphic multiplicative chaos.

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

Observation aadb5c94-6be5-4ad2-a050-cd177cf5fa9d · outbound

This paper cites Journal of Number Theory , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Journal of Number Theory , volume=

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.203275Z

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.

Observation 3d53655f-7838-4425-b132-b6e21de1bb24 · outbound

This paper cites arXiv preprint arXiv:2507.08640 , year=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect arXiv preprint arXiv:2507.08640 , year=

Reference 25

Resolution: verified exact; raw_fallback, observed 2026-08-11T04:49:50.751460Z

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.

Observation 3e5db06c-ebde-4893-9470-19e32adf505b · outbound

This paper cites Mathematika , volume =.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Mathematika , volume =

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.192627Z

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.

Observation b0211ca8-3376-4f82-9880-f2826d2e216a · outbound

This paper cites arXiv preprint arXiv:2603.01711 , year=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect arXiv preprint arXiv:2603.01711 , year=

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.366198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00f804a2-73ae-4e21-8c91-be45552604a2 · outbound

This paper cites Advancements in Complex Analysis: From Theory to Practice , pages=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Advancements in Complex Analysis: From Theory to Practice , pages=

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.181601Z

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.

Observation d83a24a8-04b8-45e4-b4dc-632cf5f55f91 · outbound

This paper cites Journal of the American Mathematical Society , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Journal of the American Mathematical Society , volume=

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.170928Z

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.

Observation 6080c531-0ba6-4c6e-97d5-748caab9729e · outbound

This paper cites Mathematika , volume =.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Mathematika , volume =

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.159396Z

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.

Observation 9303ad15-d798-4d5e-8fd2-6489937b7e8a · outbound

This paper cites Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.384076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e6f3428-fa83-4c76-86b3-b2721b147b00 · outbound

This paper cites Physical review letters , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Physical review letters , volume=

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.148522Z

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.

Observation db346a43-5955-44d3-9dce-507ffd9ddb5f · outbound

This paper cites Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences , volume=

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.138268Z

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.

Observation 77bb8de2-5306-4468-a331-ab9d95c1bb44 · outbound

This paper cites Journal of Physics A: Mathematical and Theoretical , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Journal of Physics A: Mathematical and Theoretical , volume=

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.126781Z

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.

Observation e6ef7b4d-e6e2-4771-b041-b5479b90bf0b · outbound

This paper cites Communications on Pure and Applied Mathematics , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Communications on Pure and Applied Mathematics , volume=

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.114883Z

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.

Observation 01df2d84-c648-4bac-837c-fe1f8874e0d8 · outbound

This paper cites 2019 , publisher=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect 2019 , publisher=

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.102147Z

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.

Observation db2b2e0e-1eef-4650-9f72-ede2194fe297 · outbound

This paper cites The extremal landscape for the C$\beta$E ensemble.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect The extremal landscape for the C$\beta$E ensemble

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.404205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91417041-d080-4eca-9f27-56d923974e5c · outbound

This paper cites Markov Processes and Related Fields , pages =.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Markov Processes and Related Fields , pages =

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.090803Z

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.

Observation 729c2604-4bbb-4f01-b1a1-ecbda8c3aa89 · outbound

This paper cites Journal of the London Mathematical Society , volume=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Journal of the London Mathematical Society , volume=

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.079192Z

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.

Observation ca1bcbb2-25d4-459c-aa0d-c720c7719ca8 · outbound

This paper cites 2026 , journal=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect 2026 , journal=

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.066929Z

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.

Observation ca59d066-70c3-451e-b3ca-852549628b84 · outbound

This paper cites Random multiplicative functions and typical size of character in short intervals.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Random multiplicative functions and typical size of character in short intervals

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.417584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a8bf305-fa0e-491a-805c-89b9bb9cea81 · outbound

This paper cites Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights

Reference 42

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T04:49:50.511430Z

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.

Observation 3d0e006a-fcc8-4193-a68b-4cc59b4d04fa · outbound

This paper cites Annals of Mathematics , pages=.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Annals of Mathematics , pages=

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:49:51.056048Z

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.

Observation d0a3fd90-a988-4bea-9db9-bc95059470a7 · outbound

This paper cites Hybrid Statistics of a Random Model of Zeta over Intervals of Varying Length.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Hybrid Statistics of a Random Model of Zeta over Intervals of Varying Length

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T04:49:50.428763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c89f05a8-2827-4ba9-82e3-591f5aea8833 · outbound

This paper cites Distribution of random multiplicative functions in short intervals, with proper normalization.

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect Distribution of random multiplicative functions in short intervals, with proper normalization

Reference 45

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T04:49:50.482539Z

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.

Pith citing papers

No inbound Pith citation observations are available.