Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:42:31.931969Z
Paper Citation Record · LEDGER
On Murmurations and Trace Formulas
As of 14 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.01640.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T10:03:12.944307Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T10:04:06.249554Z
Reference resolution
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy18
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f920ac01-b5d5-4166-9386-d1fb584c0f27 · outbound
This paper cites Booker, Min Lee, and David Lowry-Duda.
On Murmurations and Trace Formulas Booker, Min Lee, and David Lowry-Duda
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.764477Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1aed786-e1d4-4075-ad1b-73877d34bd8c · outbound
This paper cites Booker, Min Lee, David Lowry-Duda, Andrei Seymour-Howell, and Nina Zubrilina.
On Murmurations and Trace Formulas Booker, Min Lee, David Lowry-Duda, Andrei Seymour-Howell, and Nina Zubrilina
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:33.107261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fb460c9b-8cc1-4c7f-b21e-847f71847846 · outbound
This paper cites Farmer, and Martin R.
On Murmurations and Trace Formulas Farmer, and Martin R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:33.037644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cfb90bf0-d266-4ff6-9aba-c28da3469a75 · outbound
This paper cites Twist-minimal trace formula for holomorphic cusp forms.
On Murmurations and Trace Formulas Twist-minimal trace formula for holomorphic cusp forms
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.993807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ede49ab1-31f1-419c-8e38-7c3b7f86939c · outbound
This paper cites Murmurations and ratios conjectures.
On Murmurations and Trace Formulas Murmurations and ratios conjectures
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.829521Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3db8ac14-d87d-4b4e-ba0f-af9f6df3e8a8 · outbound
This paper cites an unresolved cited work.
On Murmurations and Trace Formulas Unresolved cited work
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.833585Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7eebf0e8-3a24-400f-a550-0f377a162474 · outbound
This paper cites Murmurations of elliptic curves.
On Murmurations and Trace Formulas Murmurations of elliptic curves
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.947200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ce4ea800-e4ba-4d6e-b1af-06be1f2cc2d1 · outbound
This paper cites Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications.
On Murmurations and Trace Formulas Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.844767Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 211f5ec4-7145-4755-8a8c-1156007f6ca9 · outbound
This paper cites Low lying zeros of families of L -functions.
On Murmurations and Trace Formulas Low lying zeros of families of L -functions
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.848430Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9eef299c-a7c9-41cf-a31d-a6f3645b031e · outbound
This paper cites an unresolved cited work.
On Murmurations and Trace Formulas Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:42:32.890951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 65f34c05-6e6a-40ef-961f-3b5c0d2b0dd9 · outbound
This paper cites Random matrices, Frobenius eigenvalues, and monodromy , volume 45.
On Murmurations and Trace Formulas Random matrices, Frobenius eigenvalues, and monodromy , volume 45
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.830503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9cfc7b16-f040-4bd2-a890-9f0394dcab6d · outbound
This paper cites Katz and Peter Sarnak.
On Murmurations and Trace Formulas Katz and Peter Sarnak
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.751063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c8d50511-4e5a-4e38-834a-67b64eae6685 · outbound
This paper cites Murmurations in M aass forms.
On Murmurations and Trace Formulas Murmurations in M aass forms
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.704769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a5d4baee-1c78-4101-a50d-8192b62be007 · outbound
This paper cites On murmurations and trace formulas.
On Murmurations and Trace Formulas On murmurations and trace formulas
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.660913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 662cd52f-83a1-4057-92ed-f7e974812fbd · outbound
This paper cites Murmurations of D irichlet characters.
On Murmurations and Trace Formulas Murmurations of D irichlet characters
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.617176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 17f3c2f6-9e11-429e-8b02-471fd88d2594 · outbound
This paper cites Root number bias for newforms.
On Murmurations and Trace Formulas Root number bias for newforms
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.559515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d36bf7a8-87b7-4751-8fc5-258d4748092b · outbound
This paper cites Variations on murmurations.
On Murmurations and Trace Formulas Variations on murmurations
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.883148Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b372d17-2a2f-4abe-bad4-fd376b06e7fd · outbound
This paper cites \" U ber die E ntwicklungskoeffizienten der automorphen F ormen.
On Murmurations and Trace Formulas \" U ber die E ntwicklungskoeffizienten der automorphen F ormen
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.509220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation af9c2414-b5a9-47d0-a49b-c6e7fa524b0e · outbound
This paper cites Letter to D rew S utherland and N ina Z ubrilina on murmurations and root numbers.
On Murmurations and Trace Formulas Letter to D rew S utherland and N ina Z ubrilina on murmurations and root numbers
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.454921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f7c2431c-1d19-4e70-8b2d-38bbcab30be6 · outbound
This paper cites Rigorous computation of Maass cusp forms.
On Murmurations and Trace Formulas Rigorous computation of Maass cusp forms
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.406864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a04b14c3-9eb3-4eae-87c9-a94778d50d8e · outbound
This paper cites On modular forms of half integral weight.
On Murmurations and Trace Formulas On modular forms of half integral weight
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.351783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b09d4fa8-4459-4f59-bd87-e19ba68cdd89 · outbound
This paper cites Sutherland.
On Murmurations and Trace Formulas Sutherland
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.900564Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d4807f8-1f59-4738-9b1a-ff5835ea8f9c · outbound
This paper cites Explicit trace formula for Hecke operators.
On Murmurations and Trace Formulas Explicit trace formula for Hecke operators
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.282398Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2743418b-5b0f-4cbb-b4ff-78bedbc817bb · outbound
This paper cites Murmurations of arithmetic l -functions.
On Murmurations and Trace Formulas Murmurations of arithmetic l -functions
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.229131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6085009d-4060-43bd-b9e3-475585774047 · outbound
This paper cites Jacobi forms and a certain space of modular forms.
On Murmurations and Trace Formulas Jacobi forms and a certain space of modular forms
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.185664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4b95a4ec-e8c0-4fad-91e0-577804c4c4d8 · outbound
This paper cites Murmurations of Hecke $L$-Functions of Imaginary Quadratic Fields.
On Murmurations and Trace Formulas Murmurations of Hecke $L$-Functions of Imaginary Quadratic Fields
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.918552Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69aaf442-db56-424d-b9cd-ee2755adb5a2 · outbound
This paper cites On the traces of H ecke operators for a normalizer of 0 (N).
On Murmurations and Trace Formulas On the traces of H ecke operators for a normalizer of 0 (N)
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:42:32.131411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3a830d5c-dfc8-486a-9356-f74218b5b116 · outbound
This paper cites Murmurations.
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:31.931969Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation e2d38d52-954c-4367-babb-6dfa14aa724c · inbound
Computer vision and converse theorems cites this paper.
Computer vision and converse theorems On Murmurations and Trace Formulas
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T10:04:06.251955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.