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Paper Citation Record · LEDGER

Levinson's theorem and its generalization for Dirichlet L-functions

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2511.06109.

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

pith.paper-citation-record.v1
2511.06109 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T23:29:19.864805Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

15 of 15 outbound references displayed

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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d19f01e5-3676-4455-b5f4-e08b637f90ec · outbound

This paper cites Apostol.Introduction to Analytic Number Theory.

Levinson's theorem and its generalization for Dirichlet L-functions Apostol.Introduction to Analytic Number Theory

Reference 1

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no resolver link, observed 2026-08-03T23:29:17.992377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:17.992377Z digest=sha256:327b9e98b06479d05273b69242224a4ebbf55be41f46408ff3df8a791221e190

Observation d8e3d044-ead8-4d62-a277-8a746b7df0ca · outbound

This paper cites Montgomery and Robert C.

Levinson's theorem and its generalization for Dirichlet L-functions Montgomery and Robert C

Reference 2

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no resolver link, observed 2026-08-03T23:29:18.094740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.094740Z digest=sha256:d60d63bc1c964db6572b33b2931f28fd1ba97ecabc03361e8f210e059635b473

Observation b7db999a-43f5-44bf-93a7-31e9e51a3271 · outbound

This paper cites Springer-Verlag, 1980.

Levinson's theorem and its generalization for Dirichlet L-functions Springer-Verlag, 1980

Reference 3

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no resolver link, observed 2026-08-03T23:29:18.173159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.173159Z digest=sha256:a0b0339df56fac688f50dd3339cdb1ec41020ccfc0b4b5716eac02a05f8d7686

Observation f6305c30-532f-4c06-94af-a268fbf5ac25 · outbound

This paper cites Murty.Problems in Analytic Number Theory.

Levinson's theorem and its generalization for Dirichlet L-functions Murty.Problems in Analytic Number Theory

Reference 4

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no resolver link, observed 2026-08-03T23:29:18.284752Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.284752Z digest=sha256:b70b88f065666f0fc92e93edf9e3f01e7e6e8741458805950ad0785bbc358115

Observation 7b866ff3-f7cc-430e-b892-a3cd5fe016ca · outbound

This paper cites American Mathemat- ical Society, 2004.

Levinson's theorem and its generalization for Dirichlet L-functions American Mathemat- ical Society, 2004

Reference 5

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no resolver link, observed 2026-08-03T23:29:18.364744Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.364744Z digest=sha256:e1ceaf2eead828fdc3bd4c401045f486699ac3151e94d3b7c385bc2042e61cb3

Observation d74d5d52-8c65-4774-8433-bac5ab8cdeb9 · outbound

This paper cites an unresolved cited work.

Levinson's theorem and its generalization for Dirichlet L-functions Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:18.464982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.464982Z digest=sha256:5be91ec5db1bb78d9f703f4bd73a62e472ef65182da54be4762faa94c6d99099

Observation f2113f06-37e2-4603-ae69-63ebbe9486ee · outbound

This paper cites A short proof of Levinson's theorem.

Levinson's theorem and its generalization for Dirichlet L-functions A short proof of Levinson's theorem

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:18.553232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.553232Z digest=sha256:a9ae1b551902af09500cc223d5d401c4fbc3e6380ee83fefc933d36bd4cb1c03

Observation 85ada7aa-5de2-4c34-8f5c-07d0d8dba1bf · outbound

This paper cites Bettin and S.

Levinson's theorem and its generalization for Dirichlet L-functions Bettin and S

Reference 8

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no resolver link, observed 2026-08-03T23:29:18.704745Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.704745Z digest=sha256:e33671689d3421f30448ef2ed9aa8edade8c8fd338b2adc206285e915fcbb6e8

Observation 71ad633b-226b-453c-a6e7-f59ad866d5c9 · outbound

This paper cites Balasubramanian, J.

Levinson's theorem and its generalization for Dirichlet L-functions Balasubramanian, J

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:18.885594Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:18.885594Z digest=sha256:559da056b01d7963ab1a0783838cde47aafa6215226fa5c5ffc0e6a156fdf9e6

Observation 5cd96385-9bcc-4737-9186-7b688c45c679 · outbound

This paper cites an unresolved cited work.

Levinson's theorem and its generalization for Dirichlet L-functions Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:19.164411Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:19.164411Z digest=sha256:6286f1f2d292d9173ef41b3bb1dc125dc63f9804ec98a37e7274d8730a7f8398

Observation 1c482c89-9996-498a-a7dd-96adfc4357dc · outbound

This paper cites Bettin, V.

Levinson's theorem and its generalization for Dirichlet L-functions Bettin, V

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:19.301970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:19.301970Z digest=sha256:287afac7f6ac6f5e01d38a802db5a7716c08260d34ce4d8da5ba8d4f7036005a

Observation 2d09d49b-29f9-4eec-bb45-0b37d74140cd · outbound

This paper cites Pratt and N.

Levinson's theorem and its generalization for Dirichlet L-functions Pratt and N

Reference 12

Resolution
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no resolver link, observed 2026-08-03T23:29:19.406224Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:19.406224Z digest=sha256:c90b66fc0b038cb41329d88944253ee24230adc923333cbf16ba7de46049e2dc

Observation ee405dab-f9a2-45c8-a311-6ed6b43aa0d7 · outbound

This paper cites Math- ematische Zeitschrift, 2018.

Levinson's theorem and its generalization for Dirichlet L-functions Math- ematische Zeitschrift, 2018

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:19.505219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:19.505219Z digest=sha256:f2d2c4b480d6ff4cb2409a2e98d6d76cde9f837ec3fecfedcf04c4116a9dc7c3

Observation addb958f-1d9a-45b8-bc78-b190181dae55 · outbound

This paper cites Conrey, H.

Levinson's theorem and its generalization for Dirichlet L-functions Conrey, H

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:19.654740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:19.654740Z digest=sha256:e109866133a8b656d7dc7c83a30457727b370f5b73be792016d71bc382027451

Observation 4b4afffb-4122-4061-a258-20d1e458dc3e · outbound

This paper cites an unresolved cited work.

Levinson's theorem and its generalization for Dirichlet L-functions Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T23:29:19.864805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:29:19.864805Z digest=sha256:e37201c50e5be77c892b11ecf051af90b461b92c2d211e87dd489b6821e627b9

Pith citing papers

No inbound Pith citation observations are available.