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Paper Citation Record · LEDGER

Computation of the Kummer ratio of the class number for prime cyclotomic fields

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.01152.

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

pith.paper-citation-record.v1
1908.01152 v4

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:30:18.828995Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b327fbc-6ba2-4000-96f3-3002b3e7431f · outbound

This paper cites Cohen, Number Theory.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Cohen, Number Theory

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:19.199194Z

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=2026-08-14T15:30:18.765939Z digest=sha256:2c46772a1adb2fbd53e1c287ad94ced63b54a4d84f4f46f8b503fa28bcbb3d2f

Observation 96ee1dab-c109-4ace-905c-46f71b99a027 · outbound

This paper cites an unresolved cited work.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:30:19.181342Z

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=2026-08-14T15:30:18.771485Z digest=sha256:37b348faca94b7bfa3c6f9740b5cb4b7569abb86be70b8a855535778c6e39a0a

Observation bd9141f7-8d56-44a5-a618-096d75d406ae · outbound

This paper cites Frigo, S.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Frigo, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:19.164013Z

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=2026-08-14T15:30:18.776873Z digest=sha256:3fc79e5227e8b58ad627298c5707482138c63e59342fb487762b015bd9f7b5a3

Observation ecbc902b-9cf5-4e9e-80e7-686f0955ec81 · outbound

This paper cites an unresolved cited work.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:30:19.147859Z

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=2026-08-14T15:30:18.782521Z digest=sha256:84f92098c8704221902e840c5405452f2d5b0d8509240d826ebc72c4cd00af6e

Observation 0f7f3baa-d72c-4833-84e7-b75be32bf4c3 · outbound

This paper cites Available from http://www.gnu.org/software/gsl/.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Available from http://www.gnu.org/software/gsl/

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:19.129901Z

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=2026-08-14T15:30:18.788379Z digest=sha256:684bc9c80c511c0861e3fff120717a399835a0f4dddaa1e9cf93885a477dfde1

Observation e8c2fbef-8b22-46e6-be3f-2d13e0b8d775 · outbound

This paper cites Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952, reprinted with an introduction by J.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952, reprinted with an introduction by J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:19.112984Z

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=2026-08-14T15:30:18.794542Z digest=sha256:a20ce50694b1608fce640d25672f30e0a1713e37ca51a548be86b88fa588b4a2

Observation 88dbce4b-cdc9-42a9-966b-c291e5a77679 · outbound

This paper cites an unresolved cited work.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:30:19.088931Z

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=2026-08-14T15:30:18.801181Z digest=sha256:6461fb4780dece33d44a2296520b978eb4ea46e0be78ec1cf05a42a841d9fc6e

Observation 2372ad87-95e9-4773-9fea-4834356f4314 · outbound

This paper cites Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:30:19.018337Z

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=2026-08-14T15:30:18.807792Z digest=sha256:9291dbbc1e9e95990d255c3043bb7b075184734cca7d37d8ea151becd870031e

Observation 8ca518b8-4151-444d-8f53-2523a885eca2 · outbound

This paper cites Moree, Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play , Irregularities in the Distribution of Prime Numbers.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Moree, Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play , Irregularities in the Distribution of Prime Numbers

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:19.071253Z

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=2026-08-14T15:30:18.813458Z digest=sha256:018507ab05d7c451f3c0109714fbad4e4aee1197c6b1c7f0c915e9b6db51aa82

Observation 792e3d73-aa25-401f-ac56-b44ffe6dd272 · outbound

This paper cites Available from http://pari.math.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Available from http://pari.math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:19.052273Z

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=2026-08-14T15:30:18.818490Z digest=sha256:d07c5b9e1096eeb83731455ba29566024c6c16b885f4d98fd3c897d0ba804cdf

Observation 0dba8ada-5b1d-4153-98b0-819bb212ed09 · outbound

This paper cites an unresolved cited work.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:30:19.035411Z

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=2026-08-14T15:30:18.824085Z digest=sha256:e04db39ed85c057d3d5c8a2edeb75c380910150abad9a12c145d74f116f7dea8

Observation 9c5d7170-0c10-40a3-8197-78822df02beb · outbound

This paper cites an unresolved cited work.

Computation of the Kummer ratio of the class number for prime cyclotomic fields Unresolved cited work

Reference 12

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T15:30:18.986098Z

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=2026-08-14T15:30:18.828995Z digest=sha256:23f3aea43e7a24857d04629687e90a383613c0a900cc9b116bc0a8ebf12ccd57

Pith citing papers

No inbound Pith citation observations are available.