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Paper Citation Record · LEDGER

On primeness of the Selberg zeta-function

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.03108.

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

pith.paper-citation-record.v1
1908.03108 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:42:17.436122Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9fc608aa-9a8c-4ed9-bd3b-66d655623650 · outbound

This paper cites an unresolved cited work.

On primeness of the Selberg zeta-function Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:17.667094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.373086Z digest=sha256:e1bc42cdf380a01f74478d74bd615e15f779b5b18318b477d9918b744e591bc2

Observation b413b2b3-9c20-4c2f-b034-acf743ff047b · outbound

This paper cites an unresolved cited work.

On primeness of the Selberg zeta-function Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:17.653401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.378982Z digest=sha256:f4d93484b51bcc2a242ef2240c276da7653741f0c12570b5c06d13785dc8ae0f

Observation 244ebf96-8367-43e2-91b0-cff152c4fa41 · outbound

This paper cites Edrei , Meromorphic functions with three radially distributed val ues, Amer.

On primeness of the Selberg zeta-function Edrei , Meromorphic functions with three radially distributed val ues, Amer

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.639346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.383866Z digest=sha256:160a3737b9272aecbfd46d560b4afa379ddaf758b9cb4584f9d4dd878a0666bc

Observation 0226a656-a621-44e9-b424-4998d15cce5f · outbound

This paper cites Garunk ˇstis and A.

On primeness of the Selberg zeta-function Garunk ˇstis and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.624724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.389103Z digest=sha256:33e9d8660e607ad91f31af6fc5138715e83d0a594da0c55d8b112751ef11b245

Observation 5fa04c95-1f48-4773-b28f-67dc345d708f · outbound

This paper cites Garunkˇstis and R.

On primeness of the Selberg zeta-function Garunkˇstis and R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.609904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.394039Z digest=sha256:d7c1f1e9a01172cef14fca34a09e6e23ddaf8515e38f7eed07d0ba145f077ed8

Observation 31e1e805-685e-4bbe-9e85-71e4dd06c23a · outbound

This paper cites Garunkˇstis, R.

On primeness of the Selberg zeta-function Garunkˇstis, R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.595503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.398945Z digest=sha256:3c16c6c8d3f024cc56522eecad1cf9894632c36ebd078b95afc9d7f0ea6bfb00

Observation f76a22be-8bc8-48be-b470-b194eb53b774 · outbound

This paper cites Gross , On factorization of meromorphic functions , Trans.

On primeness of the Selberg zeta-function Gross , On factorization of meromorphic functions , Trans

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.580640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.404426Z digest=sha256:27f66fc0ea710707e78350c4eacd62917a20a9a62d5ddc9a373dbade91e23ff6

Observation d81edcdb-9663-458d-abdb-aef9a807bae1 · outbound

This paper cites Hejhal, The Selberg trace formula for P SL(2,R).

On primeness of the Selberg zeta-function Hejhal, The Selberg trace formula for P SL(2,R)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.565494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.409044Z digest=sha256:3d77c924ff487e2e558d151a1d67a285ca3e71386fffd05edaf9f6cd545f98fe

Observation 83a121c2-3ac8-4cb7-8a5b-c10c69c062f8 · outbound

This paper cites Lewin , Polylogarithms and associated functions , North-Holland Publishing Co., New York-Amsterdam, 1981.

On primeness of the Selberg zeta-function Lewin , Polylogarithms and associated functions , North-Holland Publishing Co., New York-Amsterdam, 1981

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.550130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.413645Z digest=sha256:0d452a6f022aa05ab203e782e5a86d087a0f8d0f6bb9401eda159e85a9a12de8

Observation 21713086-b9db-4c17-9c17-d4cd43c8a4f3 · outbound

This paper cites Liao and C.-C.

On primeness of the Selberg zeta-function Liao and C.-C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.533620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.418039Z digest=sha256:4b9c00efb174e65dedafe4dbdcbad979eb38b3e7d060bfe91c7ddab62c3638fd

Observation 52a9a755-7f9c-4a2d-ae18-3b2cf8d71f3e · outbound

This paper cites Minamide , The zero-free region of the derivative of Selberg zeta funct ions, Monatsh.

On primeness of the Selberg zeta-function Minamide , The zero-free region of the derivative of Selberg zeta funct ions, Monatsh

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.519071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.422708Z digest=sha256:d490c0bb26f1e9a57dcb32cc5fc1aa79294bf83f6b30e44af333d98b9f56ae04

Observation f459d1eb-05bc-4a1c-8793-d425c8a67ce6 · outbound

This paper cites Randol , Small eigenvalues of the Laplace operator on compact Rieman n surfaces, Bull.

On primeness of the Selberg zeta-function Randol , Small eigenvalues of the Laplace operator on compact Rieman n surfaces, Bull

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.504329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.427273Z digest=sha256:7791932350f63eb21b71268265b201a58dfdcb12c15a8c60961346ac62a928e7

Observation ae0f47d3-4625-4f83-bfd6-e7a3450df6a7 · outbound

This paper cites Randol , The Riemann hypothesis for Selberg’s zeta-function and the asymptotic behav- ior of eigenvalues of the Laplace operator , Trans.

On primeness of the Selberg zeta-function Randol , The Riemann hypothesis for Selberg’s zeta-function and the asymptotic behav- ior of eigenvalues of the Laplace operator , Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.489403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.431770Z digest=sha256:4c63a4408543ef443e68004ee8c01cc8546d650621e9f23cc8ec0f401058bbcc

Observation e4ecb6c5-c335-46ab-b960-c6f335ba7bf6 · outbound

This paper cites Rosenbloom , The fix-points of entire functions , Meddel.

On primeness of the Selberg zeta-function Rosenbloom , The fix-points of entire functions , Meddel

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.473472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:17.436122Z digest=sha256:afb663410798f38e712966fa316e06f2589e8c491d68a0ec2e0d48229384f4ed

Pith citing papers

No inbound Pith citation observations are available.