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Paper Citation Record · LEDGER

Pair correlation for Dedekind zeta functions of abelian extensions

As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:1908.04876.

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

pith.paper-citation-record.v1
1908.04876 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:41:44.734489Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:37:02.830296Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T20:37:02.930695Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy28
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation da5eb96c-3835-40e4-867e-23240e19e127 · outbound

This paper cites Julia: A fr esh approach to numerical comput- ing.

Pair correlation for Dedekind zeta functions of abelian extensions Julia: A fr esh approach to numerical comput- ing

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 531657f4-5b5c-4465-b478-0ab37add50a3 · outbound

This paper cites Theory of Approximation.

Pair correlation for Dedekind zeta functions of abelian extensions Theory of Approximation

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.601362Z digest=sha256:23e28afc073aef6a7b7156ca7e2a38d2ffea1d907ffdd7225119df45855ce94e

Observation 94921c0f-4e20-4285-959a-12d7207f4564 · outbound

This paper cites Zeros of Dirichlet L-series on the critical line.

Pair correlation for Dedekind zeta functions of abelian extensions Zeros of Dirichlet L-series on the critical line

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.427151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.606750Z digest=sha256:35d8b648de0ae6193e0674ce7f174c42688d9e7266efc02f1d1840d68ce6cdc4

Observation 58cbdfae-23bb-483c-b0f0-edf35f19e7bb · outbound

This paper cites Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function.

Pair correlation for Dedekind zeta functions of abelian extensions Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.412136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.610679Z digest=sha256:f9a4625861a29b7cf56cebf5f9e86ebf425a75ff09b30f1d84eef6bfd45ee22b

Observation 701a01f2-0bcc-4215-896e-e2221e6b54fa · outbound

This paper cites Fourier optimization and prime gaps.

Pair correlation for Dedekind zeta functions of abelian extensions Fourier optimization and prime gaps

Reference 5

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unresolved
no resolver link, observed 2026-08-14T13:41:44.614937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:41:44.614937Z digest=sha256:a4132317110a29c7d57f02ed2345f252daa5a86d3e56c1875cd69d7fdbf4701a

Observation f1e120ce-5bd7-4301-a6ea-694d0ca3b447 · outbound

This paper cites New upper bounds on sphere pack ings I.

Pair correlation for Dedekind zeta functions of abelian extensions New upper bounds on sphere pack ings I

Reference 6

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raw_fallback, observed 2026-08-14T13:41:45.394788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.619831Z digest=sha256:601e9f93ac576a93dc166d0d44e36d96168095f4f583c9957470f67a32eb572d

Observation 845c59cb-c57b-4b03-bccf-b77dfeb5b851 · outbound

This paper cites The sphere packing problem in dimension 24.

Pair correlation for Dedekind zeta functions of abelian extensions The sphere packing problem in dimension 24

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.624134Z digest=sha256:b705424c93811018ed0e54e4a05cb1b4083c5888a17b59d1db361bcd46a62c7d

Observation e1a98680-5c9c-4c9d-bf65-a007db1aa834 · outbound

This paper cites Some properties of optimal functions for sphere packing in dimensions 8 and 24.

Pair correlation for Dedekind zeta functions of abelian extensions Some properties of optimal functions for sphere packing in dimensions 8 and 24

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:41:44.931424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.627800Z digest=sha256:ef43992258dbe992115d1c66147f27afe2d1f454fd71e5f89d26233aa3fc6f8e

Observation 5fae6fef-6480-4141-afc8-5227928b3c9e · outbound

This paper cites Simple zeros of the Riemann zet a-function.

Pair correlation for Dedekind zeta functions of abelian extensions Simple zeros of the Riemann zet a-function

Reference 9

Resolution
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raw_fallback, observed 2026-08-14T13:41:45.362842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.631607Z digest=sha256:f453669b3a6b352c8ea457b295ae2918a90f168e2a14c262edc677dea580bc69

Observation b7ab0423-d98b-4800-803f-068e4ba59ad4 · outbound

This paper cites Pair Co rrelation Estimates for the Zeros of the Zeta-Function via Semidefinite Programming.

Pair correlation for Dedekind zeta functions of abelian extensions Pair Co rrelation Estimates for the Zeros of the Zeta-Function via Semidefinite Programming

Reference 10

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raw_fallback, observed 2026-08-14T13:41:45.349212Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.635459Z digest=sha256:1363fdac72e1124acbae71d3d698c5443c46ebaf272f619ec060a4dd908b5059

Observation 7e7f6668-66ad-4ece-989b-d99e7c9091de · outbound

This paper cites Simple zeros of the z eta-function of a quadratic number field, II.

Pair correlation for Dedekind zeta functions of abelian extensions Simple zeros of the z eta-function of a quadratic number field, II

Reference 11

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raw_fallback, observed 2026-08-14T13:41:45.330016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.639497Z digest=sha256:7ad43997102e58c389f8881cdb17786bcddfefc387388ddaa79075b76683ed8a

Observation 4ab988a6-ba8e-41cb-b680-5c4c36420ab1 · outbound

This paper cites Asymptotic Large Sieve.

Pair correlation for Dedekind zeta functions of abelian extensions Asymptotic Large Sieve

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T13:41:44.643570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:41:44.643570Z digest=sha256:0ab78509c7e9d8c25765c31654d1234e39b59ce188105ffa02076f9b35118e10

Observation 72aa0a30-886a-4649-ade8-5b70caa5a3d8 · outbound

This paper cites Critical zeros of Dirichlet L-functions.

Pair correlation for Dedekind zeta functions of abelian extensions Critical zeros of Dirichlet L-functions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.304052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.649006Z digest=sha256:4d2049984eec2c30d0fe88985cc7b46d8a8e7d0a6d1c4530da4df563a36bf71a

Observation 5cd296ef-f03d-4a5f-bf3b-1706747b4a81 · outbound

This paper cites Multiplicative Number Theory.

Pair correlation for Dedekind zeta functions of abelian extensions Multiplicative Number Theory

Reference 14

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.653981Z digest=sha256:54665accac0c8e2eaf79bef6e2af49150c06eb4b81ef43e2b7972d33cac8355d

Observation cb2220e2-475e-4877-af5e-b48213e3a87d · outbound

This paper cites Pair cor relation of the zeros of the derivative of the Riemann ξ-function.

Pair correlation for Dedekind zeta functions of abelian extensions Pair cor relation of the zeros of the derivative of the Riemann ξ-function

Reference 15

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raw_fallback, observed 2026-08-14T13:41:45.254214Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation ccc3c71a-c018-470d-95da-9bcc2f347dd6 · outbound

This paper cites Nemo/He cke: Computer Algebra and Number Theory Packages for the Julia Programming Language.

Pair correlation for Dedekind zeta functions of abelian extensions Nemo/He cke: Computer Algebra and Number Theory Packages for the Julia Programming Language

Reference 16

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raw_fallback, observed 2026-08-14T13:41:45.239512Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.662677Z digest=sha256:6169f262ec3eb1e42ddbb63e2ffe8638cc9034ff95e778cf967cc3d617ce63c5

Observation 45d63b3a-a338-49c8-bf6c-412e1023902b · outbound

This paper cites Pair correlation of zeros of the zeta function.

Pair correlation for Dedekind zeta functions of abelian extensions Pair correlation of zeros of the zeta function

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.666952Z digest=sha256:ac64aee4a191a4b1dfb86e8fca34da58a3a6f67e38ac08634003c3d7628b5557

Observation d63ee4fc-6268-4676-8863-86e911e71a98 · outbound

This paper cites Large Differences Between Consecutive P rime Numbers.

Pair correlation for Dedekind zeta functions of abelian extensions Large Differences Between Consecutive P rime Numbers

Reference 18

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.671171Z digest=sha256:079b9c1b1d858db9918405721a92f192cffacc56b68e7c247d0503ca881bf518

Observation f48e95c6-8349-4155-9c9e-4bb76b8dd27e · outbound

This paper cites Pair correlation of zeros and primes in short intervals.

Pair correlation for Dedekind zeta functions of abelian extensions Pair correlation of zeros and primes in short intervals

Reference 19

Resolution
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raw_fallback, observed 2026-08-14T13:41:45.181468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.675177Z digest=sha256:4c050a4f3229fbeb6c16dc18825e888e5380fdfb789c6cb882657e3f4fa6c311

Observation d1f6e81c-9fd6-4691-8d5b-0b22fa1035c6 · outbound

This paper cites Analytic Number Theory.

Pair correlation for Dedekind zeta functions of abelian extensions Analytic Number Theory

Reference 20

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raw_fallback, observed 2026-08-14T13:41:45.163788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.679971Z digest=sha256:c347b1ca3de18984c90d4c93333b70ac4d5394dd849a06b5c9aede82af5816dd

Observation c26b553c-28e0-4167-a46d-990a59d81eaf · outbound

This paper cites Arb: efficient arbitrary-precision midpoint-ra dius interval arithmetic.

Pair correlation for Dedekind zeta functions of abelian extensions Arb: efficient arbitrary-precision midpoint-ra dius interval arithmetic

Reference 21

Resolution
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raw_fallback, observed 2026-08-14T13:41:45.149302Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.685412Z digest=sha256:44360631a18d465ab84cec0e4d7a08bcc1f33c13b64c479c03420b9b6ecf3cd2

Observation a23db908-c9d8-4a89-96c5-db2e6ca80cf3 · outbound

This paper cites Zeroes of zeta functions and symmetry.

Pair correlation for Dedekind zeta functions of abelian extensions Zeroes of zeta functions and symmetry

Reference 22

Resolution
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raw_fallback, observed 2026-08-14T13:41:45.135168Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.689084Z digest=sha256:2f209375a93adc66e7a5ce7c17d4793d14bf41fc6442468d58dfe1ac83adcc35

Observation 698649d6-f17e-411d-a3e8-fa5ca8cc870f · outbound

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

Pair correlation for Dedekind zeta functions of abelian extensions Random matrix theory and ζ(1/ 2 + it)

Reference 23

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raw_fallback, observed 2026-08-14T13:41:45.120822Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.693224Z digest=sha256:29864253b50ee74e2ad044e0044af83a989d5a10fea925128ebcb9dbbbf99f69

Observation 3c102a5e-fc35-4af4-b655-f9dedc172a27 · outbound

This paper cites Handbuch der Lehre von der Verteilung der Primzahlen.

Pair correlation for Dedekind zeta functions of abelian extensions Handbuch der Lehre von der Verteilung der Primzahlen

Reference 24

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raw_fallback, observed 2026-08-14T13:41:45.105894Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.697348Z digest=sha256:a2a37eb038154409c03a5a05dc3e1f57a30d7dcb91bacd6428fb564aaa6ff7f0

Observation 08e73972-dc06-4851-8eb3-8f6e3fc8e8e5 · outbound

This paper cites The pair correlation of zeros of the zet a function.

Pair correlation for Dedekind zeta functions of abelian extensions The pair correlation of zeros of the zet a function

Reference 25

Resolution
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raw_fallback, observed 2026-08-14T13:41:45.090088Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.701216Z digest=sha256:88b3bbe23f5b7129d4c91a190ae6c539a62c84add61b658cbe07e253c19e4b5a

Observation 38e26648-771a-414d-b91e-64ce42742fdb · outbound

This paper cites A numerical evaluation of highly accurate multiple-p recision arithmetic version of semidefi- nite programming solver: SDPA-GMP,-QD and-DD.

Pair correlation for Dedekind zeta functions of abelian extensions A numerical evaluation of highly accurate multiple-p recision arithmetic version of semidefi- nite programming solver: SDPA-GMP,-QD and-DD

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.076193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.705046Z digest=sha256:515657bb0931534e445034a291ff258d9b993e6f079e17f585674a43c015e25d

Observation 56dfddfc-76aa-4ce8-847b-3fb9f83c47d7 · outbound

This paper cites an unresolved cited work.

Pair correlation for Dedekind zeta functions of abelian extensions Unresolved cited work

Reference 27

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raw_fallback, observed 2026-08-14T13:41:45.052000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.708912Z digest=sha256:21f19c0103cd5f7e99de9d766783561dbaf079dfc4b166e312d627620f4f0622

Observation c4de6a4d-7ce5-4182-883b-575ce059f91c · outbound

This paper cites On the distribution of spacings between ze ros of the zeta function.

Pair correlation for Dedekind zeta functions of abelian extensions On the distribution of spacings between ze ros of the zeta function

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.035912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.713281Z digest=sha256:2b8ef1f2a6a255f054c9c66206ee42c1cbcd32f9a645dbe7e0ee650a8e3b2212

Observation 151e8993-af6a-480e-9191-e074bf2b8058 · outbound

This paper cites Problems and theorems in analysis. II.

Pair correlation for Dedekind zeta functions of abelian extensions Problems and theorems in analysis. II

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.020914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.717322Z digest=sha256:96c3fdd307f371f15c6ffa2176ed4a673ae30c3fff27912208123aeb2b7d6a9d

Observation 760d5807-912b-4f08-be57-a850166484f6 · outbound

This paper cites Zeros of principal L-functions and random matrix theory.

Pair correlation for Dedekind zeta functions of abelian extensions Zeros of principal L-functions and random matrix theory

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:45.005244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.721755Z digest=sha256:253d6d5ac48259276d444b15c85b0cb2f2cd19b2663cb8a9490fcefbce6443ec

Observation e01b37e3-d54d-4186-a819-826c7b8b8cf0 · outbound

This paper cites The sphere packing problem in dimension 8.

Pair correlation for Dedekind zeta functions of abelian extensions The sphere packing problem in dimension 8

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:44.987583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.725935Z digest=sha256:81ec3631f25cd14913cca11f69bbde544ff0d8d61cca7881408c7b896088b4d9

Observation 33252ffc-dcae-4a35-be32-43e61baac73c · outbound

This paper cites Distinct zeros and simple zeros for the family of Dirichlet L-functions.

Pair correlation for Dedekind zeta functions of abelian extensions Distinct zeros and simple zeros for the family of Dirichlet L-functions

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:44.973679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.730280Z digest=sha256:415f8ef4338ffc273a6348c76d95d3049e1e69c938402e1baa44eeabbdb170fd

Observation 3b6f24c1-9410-4219-9294-65b261762a26 · outbound

This paper cites The pair correlation of zeros of Dirichlet L-functions and primes in arithmetic progressions.

Pair correlation for Dedekind zeta functions of abelian extensions The pair correlation of zeros of Dirichlet L-functions and primes in arithmetic progressions

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:44.958553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T13:41:44.734489Z digest=sha256:9659fbbe65b94f47fe6c767dcd213b4161fe0a0656d28cf7d163b742962cb54f

Pith citing papers

Observation 4d6190c0-c461-4e50-8f5a-161ddc986aa4 · inbound

Fourier optimization and pair correlation problems cites this paper.

Fourier optimization and pair correlation problems Pair correlation for Dedekind zeta functions of abelian extensions

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-08T20:37:02.938665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T20:37:02.830296Z digest=sha256:51cf06088d2d9a5179938ed8413afd5397edc1419ff69f9ce5b5c3f2239f2343