Paper Citation Record · LEDGER

Murmurations using Petersson trace formula

As of 10 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 3 inbound Pith citation observations for arXiv:2507.11418.

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

pith.paper-citation-record.v1
2507.11418 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:21:32.106486Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:01:23.924092Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T10:04:06.266397Z

Reference resolution

9 of 9 outbound references displayed

verified exact1
verified fuzzy5
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d6b142da-18a5-4c93-943e-0a783df12d46 · outbound

This paper cites R., Lee, M., and Lowry-Duda, D.

Murmurations using Petersson trace formula R., Lee, M., and Lowry-Duda, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T17:21:32.055341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90ff1847-9ff0-41d2-b654-754a4fd788a7 · outbound

This paper cites Murmurations of Elliptic Curves.

Murmurations using Petersson trace formula Murmurations of Elliptic Curves

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T17:21:32.070010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdf92cf3-f70a-486d-a86b-a7320921fecb · outbound

This paper cites Publications mathématiques de l’IHÉS 91, 1 (2000), 55–131.

Murmurations using Petersson trace formula Publications mathématiques de l’IHÉS 91, 1 (2000), 55–131

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:21:32.439154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8dccd1df-6c07-452b-8c5c-70888f847b82 · outbound

This paper cites Perspectives on the Analytic Theory of L-functions.

Murmurations using Petersson trace formula Perspectives on the Analytic Theory of L-functions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:21:32.424260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9d2590a5-c5d0-4d6d-8124-94eb38bfea6f · outbound

This paper cites Murmurations of Dirichlet characters.

Murmurations using Petersson trace formula Murmurations of Dirichlet characters

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:21:32.167368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 03b9b2e6-860f-46d4-b4e4-d9d97a400308 · outbound

This paper cites Bounds for $\rGL(3) \times \rGL(2)$ $\rL$-functions and $\rGL(3)$ $\rL$-functions.Annals of Mathematics 173, 1 (2011), 301–336.

Murmurations using Petersson trace formula Bounds for $\rGL(3) \times \rGL(2)$ $\rL$-functions and $\rGL(3)$ $\rL$-functions.Annals of Mathematics 173, 1 (2011), 301–336

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:21:32.407367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1c8a66a8-e52e-4f6a-9b71-51cb72d7f872 · outbound

This paper cites On murmurations and root numbers.

Murmurations using Petersson trace formula On murmurations and root numbers

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:21:32.392042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e41e64e2-2f24-4b81-b53b-75b1bbbfeee7 · outbound

This paper cites W., and Templier, N.Families of L-functions and their symmetries.

Murmurations using Petersson trace formula W., and Templier, N.Families of L-functions and their symmetries

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:21:32.376329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 030a9fe5-00d4-466c-9793-75e919d5ac15 · outbound

This paper cites Murmurations.

Murmurations using Petersson trace formula Murmurations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T17:21:32.106486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3cb58f87-d972-46b7-9503-b2dfb7f6deef · inbound

Computer vision and converse theorems cites this paper.

Computer vision and converse theorems Murmurations using Petersson trace formula

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:04:06.268754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 496257f3-f261-4a7c-8817-8eaabdaaa332 · inbound

Joint level-weight murmurations: prime averaging and the cubic pointwise range cites this paper.

Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations using Petersson trace formula

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T01:16:00.553845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 377e7b18-5e30-4283-a633-f6de962db18f · inbound

Joint level-weight murmurations: prime averaging and the cubic pointwise range cites this paper.

Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations using Petersson trace formula

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:01:23.924092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.