Paper Citation Record · LEDGER

Brownian behaviour of the Riemann zeta function around the critical line

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2505.07352.

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

pith.paper-citation-record.v1
2505.07352 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:34:33.082487Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

18 of 18 outbound references displayed

verified exact0
verified fuzzy13
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85ba6a66-239f-4a00-bce5-bc4e51e2788e · outbound

This paper cites Arguin, D.

Brownian behaviour of the Riemann zeta function around the critical line Arguin, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.411181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8fd3e1ea-2ce1-4215-9180-8981dcf3f1ff · outbound

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

Brownian behaviour of the Riemann zeta function around the critical line The Fyodorov-Hiary-Keating Conjecture. I

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T22:34:33.002141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14b93baa-8fbc-4c4e-8c37-e85c3e7885d2 · outbound

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

Brownian behaviour of the Riemann zeta function around the critical line The Fyodorov-Hiary-Keating Conjecture. II

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T22:34:33.008147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a68f7fa-8ddb-4af0-9a7d-b9787668c4d2 · outbound

This paper cites Bourgade, Mesoscopic fluctuations of the zeta zeros , Probab.

Brownian behaviour of the Riemann zeta function around the critical line Bourgade, Mesoscopic fluctuations of the zeta zeros , Probab

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.394666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 957345aa-ef09-418e-93b5-7a61638ba5b9 · outbound

This paper cites Bourgade and J.

Brownian behaviour of the Riemann zeta function around the critical line Bourgade and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.377984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1dfe72ba-399b-4aab-b139-c4e6edc1d0ce · outbound

This paper cites Fyodorov, G.

Brownian behaviour of the Riemann zeta function around the critical line Fyodorov, G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.362780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8f48c53d-cc92-4bc2-b891-4e9c941d2e92 · outbound

This paper cites Fyodorov and J.

Brownian behaviour of the Riemann zeta function around the critical line Fyodorov and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.348680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 349b0828-b645-4459-a86f-a51eec09f6fc · outbound

This paper cites Harper, The Riemann zeta function in short intervals [after Najnudel, and Arguin, Belius, Bourgade, Radziwi l land Soundararajan], Ast´ erisque422, S´ eminaire Bourbaki.

Brownian behaviour of the Riemann zeta function around the critical line Harper, The Riemann zeta function in short intervals [after Najnudel, and Arguin, Belius, Bourgade, Radziwi l land Soundararajan], Ast´ erisque422, S´ eminaire Bourbaki

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.333267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c7a6ff91-616c-445f-9d61-e8c55037991b · outbound

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

Brownian behaviour of the Riemann zeta function around the critical line On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T22:34:33.040005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 445ca7ab-068a-4155-8980-ca184bee9bc2 · outbound

This paper cites Khintchine, Uber einen Satz der Wahrscheinlichkeitsrechnung , Fundamenta Mathematicae 6 (1924), 9–20.

Brownian behaviour of the Riemann zeta function around the critical line Khintchine, Uber einen Satz der Wahrscheinlichkeitsrechnung , Fundamenta Mathematicae 6 (1924), 9–20

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.317345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 146de6a0-df75-4626-86a6-81ca5fb23735 · outbound

This paper cites an unresolved cited work.

Brownian behaviour of the Riemann zeta function around the critical line Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:34:33.301786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 28af17ae-1d10-4dc7-9a40-82f66ea7dcff · outbound

This paper cites an unresolved cited work.

Brownian behaviour of the Riemann zeta function around the critical line Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:34:33.285903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b6c0bae2-09b8-488f-b0d4-3bc33f119605 · outbound

This paper cites Najnudel, On the extreme values of the Riemann zeta function on random intervals of the critical line , Probab.

Brownian behaviour of the Riemann zeta function around the critical line Najnudel, On the extreme values of the Riemann zeta function on random intervals of the critical line , Probab

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.268179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 022b8dc8-bae0-430f-8b0b-70ff9566b56c · outbound

This paper cites and Yor Revuz M., Continuous Martingales and Brownian Motion , Grundlehren der mathematischen Wissenschaften, Springer Berlin Heidelberg, 2004.

Brownian behaviour of the Riemann zeta function around the critical line and Yor Revuz M., Continuous Martingales and Brownian Motion , Grundlehren der mathematischen Wissenschaften, Springer Berlin Heidelberg, 2004

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.247295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6387ea5f-baa2-48d1-a976-03e28bb69dbc · outbound

This paper cites Prokhorov, Convergence of random processes and limit theorems in probability theory , Teor.

Brownian behaviour of the Riemann zeta function around the critical line Prokhorov, Convergence of random processes and limit theorems in probability theory , Teor

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.227759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c1cfd295-9a33-49fa-9e1d-5b5aa2951a33 · outbound

This paper cites Radziwi l l and K.

Brownian behaviour of the Riemann zeta function around the critical line Radziwi l l and K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.210564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a91964aa-4685-4bd8-a891-9ae70f6bd193 · outbound

This paper cites Selberg, Contributions to the theory of the Riemann zeta-function , Arch.

Brownian behaviour of the Riemann zeta function around the critical line Selberg, Contributions to the theory of the Riemann zeta-function , Arch

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.192573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 20462e6b-438f-4596-b6d1-0f8b991df077 · outbound

This paper cites Soundararajan, The distribution of values of zeta and L-functions, ICM—International Congress of Mathematicians.

Brownian behaviour of the Riemann zeta function around the critical line Soundararajan, The distribution of values of zeta and L-functions, ICM—International Congress of Mathematicians

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:33.174665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.