Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:56:34.747993Z
Paper Citation Record · LEDGER
On Hypothesis H of Rudnick and Sarnak
As of 20 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 4 inbound Pith citation observations for arXiv:2507.20653.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:26:56.201619Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T01:26:23.843270Z
Reference resolution
47 of 47 outbound references displayed
- verified exact0
- verified fuzzy24
- unresolved23
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ed5dae0e-b25e-4025-a147-5a3b7e73f381 · outbound
This paper cites Avdispahi´ c and L.
On Hypothesis H of Rudnick and Sarnak Avdispahi´ c and L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.418579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bde90d7b-f318-4d5e-95a7-00e5a043b0ec · outbound
This paper cites Blomer and F.
On Hypothesis H of Rudnick and Sarnak Blomer and F
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.405304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3e564101-2ccf-4c4d-b072-11953d40a869 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.391497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b231ef0f-ed2c-404c-9491-3f6d1077af54 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.378298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e0a2d845-d00a-46f9-80b6-d03ad66c15d6 · outbound
This paper cites Brumley, J.
On Hypothesis H of Rudnick and Sarnak Brumley, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.365327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d5f8dba1-95c8-435b-b654-0861ae78c669 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.351700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4ea439dc-607e-4005-aaf9-48688d7e9739 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.338585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9307d6ad-a319-4c56-be64-d29126e47def · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.325069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b9327fdb-f71e-4e17-83e6-00f5554a25a7 · outbound
This paper cites Duke and E.
On Hypothesis H of Rudnick and Sarnak Duke and E
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.310956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f0148ad4-1da8-45b5-a1ee-74f3636278ab · outbound
This paper cites Goldfeld and J.
On Hypothesis H of Rudnick and Sarnak Goldfeld and J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.297079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6e05ec5c-45a1-45bd-8b7e-a4050c3bda29 · outbound
This paper cites Harcos, J.
On Hypothesis H of Rudnick and Sarnak Harcos, J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.283529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 71310035-ae3d-4688-8990-3faa99a3d6cb · outbound
This paper cites Heap and J.
On Hypothesis H of Rudnick and Sarnak Heap and J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.269924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 06d9f91b-2bbc-409d-8730-6305feeebcce · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.256612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 35abc085-32a8-4084-93c8-f36c9f08ebb2 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.243289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3d61d813-bd7e-4255-94cd-03d092ff958d · outbound
This paper cites Hoheisel.
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.229607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 31d61024-99e5-4ad2-9939-108fa6314c90 · outbound
This paper cites Humphries and F.
On Hypothesis H of Rudnick and Sarnak Humphries and F
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.215430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c025d477-1733-4475-9b48-bcdb6c353b83 · outbound
This paper cites Humphries and J.
On Hypothesis H of Rudnick and Sarnak Humphries and J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.201828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5439eac7-7581-432f-9130-c1b0560ac1ef · outbound
This paper cites Humphries and J.
On Hypothesis H of Rudnick and Sarnak Humphries and J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.188866Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fb3b6662-5055-45eb-9f52-0d36c4f4b130 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.175448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 70130da4-9f63-451d-9f84-6c9e31ee8731 · outbound
This paper cites Iwaniec and E.
On Hypothesis H of Rudnick and Sarnak Iwaniec and E
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.161517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9d4b4f1d-a39f-4d96-a68b-d4df5354956e · outbound
This paper cites Jiang, G.
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.147701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 73c9ab2c-a9e0-4f01-abf0-2c8882ce96c9 · outbound
This paper cites Kaneko, J.
On Hypothesis H of Rudnick and Sarnak Kaneko, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.133485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 24c63553-d8c7-4083-a492-96d9accde870 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.119515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation eaae411e-c67c-43d8-8b17-b339de095857 · outbound
This paper cites Kowalski and P.
On Hypothesis H of Rudnick and Sarnak Kowalski and P
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.105568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8717552f-892c-4130-b334-a79bcdda96bb · outbound
This paper cites Kowalski and G.
On Hypothesis H of Rudnick and Sarnak Kowalski and G
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.091575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 597a2f80-0b7a-4a06-83ba-b268d34127a8 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.077744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3628161c-9f48-461a-8978-eeb938e9d3e8 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.063626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 30d707e2-268c-4d6e-a4d1-c09fa8ee9664 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.049099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 326dd3ce-7b05-45f6-9259-a0f88f58340d · outbound
This paper cites Liu and Y.
On Hypothesis H of Rudnick and Sarnak Liu and Y
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.033964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 266381fa-8bc8-4b5c-9a59-4a088897cf03 · outbound
This paper cites Liu and Y.
On Hypothesis H of Rudnick and Sarnak Liu and Y
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:35.020131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 78ec1bbf-b9cf-43b4-90ea-7a6a87ce30af · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:35.006619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8aefffd1-820e-41b4-9b2f-0517ed9f14d9 · outbound
This paper cites Liu and Y.
On Hypothesis H of Rudnick and Sarnak Liu and Y
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:34.992099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9b6b1c64-60d0-456c-8dea-7c83b2181078 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.978202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation aa139ead-8e03-4d6f-ad65-31984258bfe7 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:56:34.693626Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa53b441-cb17-4174-bda0-e94d72650e14 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.954594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bde61fa4-371d-4cea-81a9-5280d13db6d2 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.941348Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5e0c3ada-5e5e-429d-8279-6cb37942388e · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.927652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 07297f83-adf5-48cf-b959-3f588053df54 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.914096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 96496511-6c91-4fcb-9ccd-7e34c2e8c2bb · outbound
This paper cites M¨ uller and B.
On Hypothesis H of Rudnick and Sarnak M¨ uller and B
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:34.900552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2f79ed99-892a-4d5b-b6fc-276ac05f84a2 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.886705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 71ebc855-80b2-4c4f-9c6f-2649a155d855 · outbound
This paper cites Neukirch.
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:34.873019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 386cf9ce-bfbb-4bf6-b6c7-3b00db5b41b8 · outbound
This paper cites Rudnick and P.
On Hypothesis H of Rudnick and Sarnak Rudnick and P
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:34.858723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 372501fe-5501-4a16-adc6-79893e26336b · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.842504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 230e1fb1-2a05-46e3-81a4-9b3b872b2949 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.827886Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation edbae471-9d9f-4493-8e6a-d1aec65186c7 · outbound
This paper cites Soundararajan and J.
On Hypothesis H of Rudnick and Sarnak Soundararajan and J
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:34.813698Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b031e85a-61f1-4ae8-be87-8ee824db79a9 · outbound
This paper cites Wu and Y.
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:56:34.799288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 599bc7e8-7968-44f8-90e8-b6c50ce46008 · outbound
This paper cites an unresolved cited work.
On Hypothesis H of Rudnick and Sarnak Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:56:34.784123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation e872996a-3636-4367-af1a-47be2d4f1123 · inbound
Zeros of Polynomials in Derivatives of Automorphic $L$-functions cites this paper.
Zeros of Polynomials in Derivatives of Automorphic $L$-functions On Hypothesis H of Rudnick and Sarnak
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:00:24.938943Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d392010c-4ff5-41be-a42b-be885d2e73a4 · inbound
Closed geodesics in short intervals for random hyperbolic surfaces cites this paper.
Closed geodesics in short intervals for random hyperbolic surfaces On Hypothesis H of Rudnick and Sarnak
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T02:54:32.566763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bfe656ae-b95c-472a-a4f2-1f628c7e5079 · inbound
Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions cites this paper.
Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions On Hypothesis H of Rudnick and Sarnak
Reference 13
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T01:26:23.845019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 82b90642-0f47-422f-855e-68dd44cef95c · inbound
Power sums and Siegel-type zero-free regions for L-functions cites this paper.
Power sums and Siegel-type zero-free regions for L-functions On Hypothesis H of Rudnick and Sarnak
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T00:26:56.201619Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.