Paper Citation Record · LEDGER

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields

As of 10 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2508.20814.

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

pith.paper-citation-record.v1
2508.20814 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:03:05.928665Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:47:18.648004Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T20:17:21.523433Z

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy13
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 68472433-c578-43a1-91a1-63b27dcbf3b6 · outbound

This paper cites Explicit analytic continuation of euler products.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Explicit analytic continuation of euler products

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T15:03:02.802999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55600a4e-a691-47dc-9156-7e7a00648def · outbound

This paper cites Power Savings for Counting (Twisted) Abelian Extensions of Number Fields.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Power Savings for Counting (Twisted) Abelian Extensions of Number Fields

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T15:03:02.956853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7c70246-aa6f-479e-bdb0-5dd5b192267a · outbound

This paper cites An application of the H ooley- H uxley contour.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields An application of the H ooley- H uxley contour

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:11.594777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0d1c5847-c582-4eb9-93ec-2daa6abd4627 · outbound

This paper cites Functional equations with multiple gamma factors and the average order of arithmetical functions.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Functional equations with multiple gamma factors and the average order of arithmetical functions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:11.284744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d81a8f21-378e-409e-8041-7aac5edeaa1f · outbound

This paper cites The approximate functional equation for a class of zeta-functions.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields The approximate functional equation for a class of zeta-functions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:10.954817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a1b07fa9-8487-4a35-8e71-b96ae04fb58f · outbound

This paper cites L-functions and random matrices.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields L-functions and random matrices

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:10.684799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b3338b87-6b48-4952-b31a-53fc671e2a10 · outbound

This paper cites The H asse norm principle for abelian extensions.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields The H asse norm principle for abelian extensions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:10.354305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c36527f7-506d-4b06-bdaf-b87111e09b65 · outbound

This paper cites Sharp conditional bounds for moments of the Riemann zeta function.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Sharp conditional bounds for moments of the Riemann zeta function

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T15:03:03.845814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1172d25e-5159-4e97-95d8-5bbb80529964 · outbound

This paper cites Sharp upper bounds for fractional moments of the R iemann zeta function.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Sharp upper bounds for fractional moments of the R iemann zeta function

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:10.034822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ba5e917-0641-4842-ae92-57ff0835c7fc · outbound

This paper cites Random matrix theory and (1/2+ it).

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Random matrix theory and (1/2+ it)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:09.659838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aed7c2d2-c131-40b0-a06c-a80eb0020e0a · outbound

This paper cites U ber die anzahl der gitterpunkte in gewissen bereichen. Nachrichten von der Gesellschaft der Wissenschaften zu G \.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields U ber die anzahl der gitterpunkte in gewissen bereichen. Nachrichten von der Gesellschaft der Wissenschaften zu G \

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:09.314741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a572e882-225e-404b-90c0-7b5d99af60e7 · outbound

This paper cites Uniform bounds for lattice point counting and partial sums of zeta functions.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Uniform bounds for lattice point counting and partial sums of zeta functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:08.854750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 375d411d-ff58-49c1-bba8-68b975a94590 · outbound

This paper cites Counting ideals in abelian number fields, 2025.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Counting ideals in abelian number fields, 2025

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-05T15:03:06.584746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9de68c5d-5af2-47ca-9250-91da39e1d4c6 · outbound

This paper cites The L -functions and modular forms database.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields The L -functions and modular forms database

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:08.494743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 156a9e74-8f9d-4e9b-950a-b440cc3d70fd · outbound

This paper cites On the density of abelian number fields.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields On the density of abelian number fields

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:08.057462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cbc447cb-8991-426a-a02c-5731de95fc27 · outbound

This paper cites A guide to Tauberian theorems for arithmetic applications.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields A guide to Tauberian theorems for arithmetic applications

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T15:03:05.072720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2f88b0b-28e5-4d04-82f3-74285aa07d37 · outbound

This paper cites Th \'e orie de l'information, s \'e ries de D irichlet, et analyse d'algorithmes.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Th \'e orie de l'information, s \'e ries de D irichlet, et analyse d'algorithmes

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:07.870481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1c100040-7b91-4674-a655-0bf8f79a726a · outbound

This paper cites The distribution of values of zeta and L-functions.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields The distribution of values of zeta and L-functions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T15:03:05.494625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3080d739-066d-4c0e-b429-5c4e15f248d8 · outbound

This paper cites Introduction to analytic and probabilistic number theory , volume 163.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Introduction to analytic and probabilistic number theory , volume 163

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:03:07.444747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1fb619fb-c44b-4b2b-b194-59390d4e54ae · outbound

This paper cites an unresolved cited work.

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:03:07.114818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 8ac45eb3-2c2a-4401-af2a-fd846869bcb2 · inbound

A guide to Tauberian theorems for arithmetic applications cites this paper.

A guide to Tauberian theorems for arithmetic applications An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-22T18:16:54.920947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9775640c-d9c4-4181-b1ba-431c369f4d2d · inbound

Erd\H{o}s-Kac theorems for discriminants of number fields cites this paper.

Erd\H{o}s-Kac theorems for discriminants of number fields An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.524957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.