Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:37:39.919994Z
Paper Citation Record · LEDGER
Prime scattering geodesic theorem
As of 21 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2505.04973.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:43.243891Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T05:44:43.327180Z
Reference resolution
23 of 23 outbound references displayed
- verified exact0
- verified fuzzy14
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation faf36d47-f248-4495-bbe0-fe938b5886aa · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.286510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation aba3364b-3c77-4af5-90b6-b4e816fec990 · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.270687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c2e14bdd-0f94-4a01-bb2d-9bf3944e6deb · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.256839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c26b8cbe-6657-432d-95a1-24f4aba56f5e · outbound
This paper cites 106, Birkh¨auser, Boston-Basel-Berlin, 1992.
Prime scattering geodesic theorem 106, Birkh¨auser, Boston-Basel-Berlin, 1992
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.242202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 30e310b2-c6c6-4787-b26d-dd7b7f0d2548 · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.227116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5f2fce77-76d5-4f63-a04b-d3978588798d · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.212063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ef194cba-fdcf-4d97-b899-7f070cf76346 · outbound
This paper cites Hejhal, The selberg trace formula for PSL (2, R), Vol.
Prime scattering geodesic theorem Hejhal, The selberg trace formula for PSL (2, R), Vol
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.196668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cd9a536f-581f-4cc4-9e04-c814fa4f2231 · outbound
This paper cites II, Lecture Notes in Mathemat- ics, vol.
Prime scattering geodesic theorem II, Lecture Notes in Mathemat- ics, vol
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.182370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7e3c6217-bf8b-4867-91a1-7f2c43806c10 · outbound
This paper cites ii, Mathematische Annalen 142 (1961), no.
Prime scattering geodesic theorem ii, Mathematische Annalen 142 (1961), no
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.167286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 31956031-50f0-4267-9aac-2b51be47a4ca · outbound
This paper cites Reine Angew.
Prime scattering geodesic theorem Reine Angew
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.152275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a072f075-da39-4127-bf32-c9dbbe1e1fe5 · outbound
This paper cites 53, American Mathematical Society, Providence, RI, 2002.
Prime scattering geodesic theorem 53, American Mathematical Society, Providence, RI, 2002
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.137130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 95a890e5-7abb-4fb9-a6f0-8d610f62a7bc · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.121401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e0a89cf4-b9df-4a28-ba8e-97ba496a2f43 · outbound
This paper cites Lax and Ralph S.
Prime scattering geodesic theorem Lax and Ralph S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.106676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c16df658-7eac-49c1-9815-24dc66cdfcc4 · outbound
This paper cites 2, 261–295.
Prime scattering geodesic theorem 2, 261–295
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.092187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4075822b-3252-41e1-88ec-a960dabda9bb · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.077640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 701ffc33-1812-4e36-a8b5-0f606b7a436f · outbound
This paper cites 1, 97–125.
Prime scattering geodesic theorem 1, 97–125
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.063211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6323cae3-c1b7-4026-97eb-80f18c40bf03 · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.048795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 55c18c71-a6e1-4b08-b8f4-750a7be359ec · outbound
This paper cites an unresolved cited work.
Prime scattering geodesic theorem Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:37:40.033641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8c0e7ae6-f4df-4b1d-9de6-2ed00d0deb77 · outbound
This paper cites MR 2630950.
Prime scattering geodesic theorem MR 2630950
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.017088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 70fc7cc4-136b-4164-8f2b-1fad8a08698b · outbound
This paper cites Number Theory 15 (1982), no.
Prime scattering geodesic theorem Number Theory 15 (1982), no
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:40.002179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9f952d13-5a8d-432e-8125-fd2e345e4174 · outbound
This paper cites 16 SUDHIR PUJAHARI AND PUNYA PLABAN SATPATHY.
Prime scattering geodesic theorem 16 SUDHIR PUJAHARI AND PUNYA PLABAN SATPATHY
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:39.986946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 182515c4-3d9d-4cac-b45f-be6eed17c60b · outbound
This paper cites 2 , Wiley (Interscience), New York, 1973.
Prime scattering geodesic theorem 2 , Wiley (Interscience), New York, 1973
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:39.971955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9708758e-e766-4d17-a19f-cb941e44fb45 · outbound
This paper cites Soundararajan and Matthew P.
Prime scattering geodesic theorem Soundararajan and Matthew P
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:37:39.956601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 6f2b7dd7-6254-493f-a2fe-e2c0ab54fa66 · inbound
Erd\H{o}s-Kac type theorem for the number of scattering geodesics on modular surface cites this paper.
Erd\H{o}s-Kac type theorem for the number of scattering geodesics on modular surface Prime scattering geodesic theorem
Reference 8
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T05:44:43.413459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.