Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T08:01:23.946665Z
Paper Citation Record · LEDGER
Joint level-weight murmurations: prime averaging and the cubic pointwise range
As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.08982.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
17 of 17 outbound references displayed
- verified exact2
- verified fuzzy0
- unresolved14
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e32824b1-6e45-4f07-b4ca-ce1043453ee2 · outbound
This paper cites A note on the trace formula.
Joint level-weight murmurations: prime averaging and the cubic pointwise range A note on the trace formula
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.886172Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8ff22db-2fdd-4b60-85aa-0b152b852a7d · outbound
This paper cites Bober, A.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Bober, A
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-02T08:03:38.184463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2b71f052-d379-411a-acdc-8fba11b43b79 · outbound
This paper cites Murmurations of Maass forms.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations of Maass forms
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.895421Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ecab7a5d-6558-4442-aba6-cbe7ec02bdde · outbound
This paper cites an unresolved cited work.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Unresolved cited work
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.899149Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe748952-ee8e-4b9c-a700-87f8bc5e7ac7 · outbound
This paper cites Murmurations in the depth aspect.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations in the depth aspect
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.903794Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 309c8c94-f097-4380-ba5b-d0d940e263f1 · outbound
This paper cites Murmurations and ratios conjectures.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations and ratios conjectures
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.908693Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9b7be88-eb43-4d90-9965-c558ff49fa8a · outbound
This paper cites He, K.-H.
Joint level-weight murmurations: prime averaging and the cubic pointwise range He, K.-H
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.913218Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3e4c663-ef90-4676-9b28-64d7bc5f6ec2 · outbound
This paper cites Hooley,On the Barban–Davenport–Halberstam theorem.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Hooley,On the Barban–Davenport–Halberstam theorem
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.917539Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eef2e2e5-4508-4172-9a53-eff5715335a9 · outbound
This paper cites Iwaniec and E.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Iwaniec and E
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.920697Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 377e7b18-5e30-4283-a633-f6de962db18f · outbound
This paper cites Murmurations using Petersson trace formula.
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.
Observation f5489b59-7d8a-4d3b-b2b4-ce3f5939935b · outbound
This paper cites Kundu and K.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Kundu and K
Reference 11
- Resolution
- verified exact
- doi, observed 2026-08-02T08:03:38.003111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 89d6885e-ed68-40f3-b092-e71a6a674ff6 · outbound
This paper cites an unresolved cited work.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.931031Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f23bc7b-38d7-415d-92cd-44142d17a87d · outbound
This paper cites Martin,Dimensions of the spaces of cusp forms and newforms onΓ 0(N)and Γ1(N), J.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Martin,Dimensions of the spaces of cusp forms and newforms onΓ 0(N)and Γ1(N), J
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.934047Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81f1a8f2-e6a0-4e4e-9251-01b1b06a776d · outbound
This paper cites an unresolved cited work.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.937020Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8206826-0f94-4bb9-9be6-b9bb6f4494cf · outbound
This paper cites Sawin and A.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Sawin and A
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.940159Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60f6c385-64a7-4227-9087-e1e84c29b11b · outbound
This paper cites Murmurations in the Depth Aspect for Maass and Modular Forms.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Murmurations in the Depth Aspect for Maass and Modular Forms
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T08:01:23.943282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 292131c5-099d-4b41-8b68-0f931a08815b · outbound
This paper cites Zubrilina,Murmurations, Invent.
Joint level-weight murmurations: prime averaging and the cubic pointwise range Zubrilina,Murmurations, Invent
Reference 17
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-02T08:01:23.946665Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.