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Paper Citation Record · LEDGER

New zero-free regions for Dedekind zeta-functions at small and large ordinates

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2506.19319.

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

pith.paper-citation-record.v1
2506.19319 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:39:02.499775Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:08:00.055364Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T21:08:04.992922Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b5dc866-b250-4c90-b5ad-f5c9abf286b6 · outbound

This paper cites Ahn and S.-H.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Ahn and S.-H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.948355Z

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.

source=pdf_text observed=2026-08-15T18:39:02.391614Z digest=sha256:e75e28096a8bafd1820eb716903d21ff950b16005d78e2b8d79d3ec3316835c4

Observation c8f24b58-b670-4d65-9c2c-d4bd4d13fd70 · outbound

This paper cites Das, An explicit version of Chebotarev’s density theorem , MSc Thesis, University of Lethbridge, 2020.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Das, An explicit version of Chebotarev’s density theorem , MSc Thesis, University of Lethbridge, 2020

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.929298Z

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.

source=pdf_text observed=2026-08-15T18:39:02.397508Z digest=sha256:b44d74d3b2d987927ab4022f49fb5ebd6036fce4e31aa279e5f513d17ece0cd0

Observation f53c26e9-233e-4072-9512-c20cdff2bc90 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.907426Z

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.

source=pdf_text observed=2026-08-15T18:39:02.402714Z digest=sha256:573a04216f4ca7e7093f0c77abb50027a4ae9b03fa3379eb8330a65f344a311f

Observation f146d890-8738-473f-a7cb-e3d60ec6fde0 · outbound

This paper cites Kadiri, Une r´ egion explicite sans z´ ero pour les fonctions l de dirichlet , PhD Thesis, Universit´ e Lille I, 2002.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Kadiri, Une r´ egion explicite sans z´ ero pour les fonctions l de dirichlet , PhD Thesis, Universit´ e Lille I, 2002

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.890074Z

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.

source=pdf_text observed=2026-08-15T18:39:02.408737Z digest=sha256:c9f28ad2f8b9669fd8ccfcd29218e50e93aa871d0b3822d7e892c7fdbb1f1f71

Observation bee2835b-4a5c-4474-af24-8cb6d45ab3d1 · outbound

This paper cites 117 (2005), no.

New zero-free regions for Dedekind zeta-functions at small and large ordinates 117 (2005), no

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.872542Z

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.

source=pdf_text observed=2026-08-15T18:39:02.414264Z digest=sha256:3e0517857a1d4e328e4b4d0488293fdc37b6fb59cd352c1932b97722e9433501

Observation 3a2820f6-debc-4aa4-a243-0dd957bfeffc · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.854946Z

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.

source=pdf_text observed=2026-08-15T18:39:02.420000Z digest=sha256:167a4aab391c53628f084471069250c77701d1a03e8371e7dfb4d70349623d4b

Observation c6c72aec-079f-4a8c-b706-417668712acc · outbound

This paper cites 2, 445–474.

New zero-free regions for Dedekind zeta-functions at small and large ordinates 2, 445–474

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.836775Z

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.

source=pdf_text observed=2026-08-15T18:39:02.425403Z digest=sha256:81473bed48190b69311ec0cf2e17364c70dfdc966571bff4aa74fa72968b6e46

Observation ea77c6f9-741c-4758-bcbe-66fe04124111 · outbound

This paper cites Kadiri and P.-J.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Kadiri and P.-J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.817013Z

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.

source=pdf_text observed=2026-08-15T18:39:02.430984Z digest=sha256:50b78b587e362ae8715d7889f06cb3f43a8881bc04d3a3b82124e9086e693c9a

Observation 9dea2716-0b1c-49b9-8451-3500c25eee89 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.798607Z

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.

source=pdf_text observed=2026-08-15T18:39:02.435905Z digest=sha256:44b650a0af0cc80e5957361dc0ca0a88f9f4a00065082ed26688ec3311a369b2

Observation 6e743b3b-3fd7-4d78-af6a-dcf38d8142dd · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.780212Z

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.

source=pdf_text observed=2026-08-15T18:39:02.440731Z digest=sha256:69b8915933dae177313ef7440fd77d0696c7398839109f4121451f741c93b3d2

Observation 9052471a-bc2f-460f-b8ab-c2e9f757b291 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.763696Z

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.

source=pdf_text observed=2026-08-15T18:39:02.445840Z digest=sha256:4c599a931e5d6ff8cab184d53034ecb9cf907df2f65eddeca261d8ef37298023

Observation 91ba2e2e-cf72-47fb-8969-a6467b6cc6e4 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.745175Z

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.

source=pdf_text observed=2026-08-15T18:39:02.450736Z digest=sha256:fc94993f9868f6dba936c4c38f24bdfcf208613f5ac8f69cc71635c3e000ee61

Observation a491faf2-2f79-43b4-9fb4-bd1cc5d242d7 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.724464Z

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.

source=pdf_text observed=2026-08-15T18:39:02.457196Z digest=sha256:6cbca5a55de5dec38b742914b5db420eecd2df7eeb4fcdd6699cc8d1ebdab48d

Observation 30e9f9db-c1d6-4133-b6c3-d979114258b8 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.703358Z

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.

source=pdf_text observed=2026-08-15T18:39:02.462826Z digest=sha256:5bcbdc43d728eb18e4ab897615db62cb2cfe1397d22581f7c9da6b0a8921afe4

Observation 87189a0a-ab76-4d6d-9869-08ab1cb03424 · outbound

This paper cites Explicit zero-free regions for the Riemann zeta-function.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Explicit zero-free regions for the Riemann zeta-function

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:39:02.556183Z

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.

source=pdf_text observed=2026-08-15T18:39:02.467909Z digest=sha256:650860d64192773b9e230fc45e63cb608ba15aa15a0007a6484b0690e23c3d4c

Observation 94d0c854-0c08-47a1-9e13-c120eedf470b · outbound

This paper cites Platt and T.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Platt and T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.683435Z

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.

source=pdf_text observed=2026-08-15T18:39:02.473341Z digest=sha256:0bb9a5e9744de31087f836de4303a595a72e7c4cee67678f7e37082c69ab7324

Observation 796bd32d-7a7e-4203-8cc0-95246937a5a1 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.663406Z

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.

source=pdf_text observed=2026-08-15T18:39:02.478290Z digest=sha256:c4bb906e1cf37e3a7dfb30dc034146136f572223b3711c469010d7f23be93c2c

Observation 0c8ee325-e6e2-4559-87f1-54636274d472 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.643445Z

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.

source=pdf_text observed=2026-08-15T18:39:02.482965Z digest=sha256:d19082241432143ae3bd33605721c0a1bb199dcf103161686cd9e7601c1db04a

Observation 842132a9-bc70-48d8-8eb6-3fbb01c4e362 · outbound

This paper cites Tollis, Zeros of Dedekind zeta functions in the critical strip , Math.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Tollis, Zeros of Dedekind zeta functions in the critical strip , Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.619257Z

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.

source=pdf_text observed=2026-08-15T18:39:02.487794Z digest=sha256:2b383ef793e6823a7c4d25481699ec54e1328c9ff8a6d4325aa1e6f769f886ac

Observation 24d820d5-38c2-4b94-b349-a1ef57630f01 · outbound

This paper cites Westphal, ¨Uber die Nullstellen der Riemannschen Zetafunktion im kritischen Streifen , Ph.D.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Westphal, ¨Uber die Nullstellen der Riemannschen Zetafunktion im kritischen Streifen , Ph.D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:39:02.597072Z

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.

source=pdf_text observed=2026-08-15T18:39:02.493170Z digest=sha256:a849e17a6f50476a9993c408ea979917f7dee3dd19f997c02f398fc2da1edc21

Observation f6f89a3f-7264-41a2-8b9c-79702dc2e7c4 · outbound

This paper cites an unresolved cited work.

New zero-free regions for Dedekind zeta-functions at small and large ordinates Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:39:02.578355Z

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.

source=pdf_text observed=2026-08-15T18:39:02.499775Z digest=sha256:dc69e8101c784cf431f0c8888c4a55cb9d5d692802dbf271cc3a573836ae5258

Pith citing papers

Observation f56927e8-e154-42da-85ae-4cdbc5fd8356 · inbound

An effective version of Chebotarev's density theorem cites this paper.

An effective version of Chebotarev's density theorem New zero-free regions for Dedekind zeta-functions at small and large ordinates

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-05T21:08:05.078873Z

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.

source=arxiv_source observed=2026-08-05T21:08:00.055364Z digest=sha256:b43fd28219206d6285a3dac74bb4528ecaf43e374a7747078475a177b5ff0fb8