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Paper Citation Record · LEDGER

Murmurations of quadratic Hecke $L$-functions of the Gaussian field

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.20853.

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

pith.paper-citation-record.v1
2607.20853 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:19:57.862366Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed0257d4-7be3-4b84-8a12-32bcb72f4b65 · outbound

This paper cites Davenport,Multiplicative Number Theory, Third edition, Graduate Texts in Mathematics, vol.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Davenport,Multiplicative Number Theory, Third edition, Graduate Texts in Mathematics, vol

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:56.874032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:56.874032Z digest=sha256:378c3e05d0bbc7b61d1e44271bd83d4ca5be7aab9a2238f4b5a953aa785defdf

Observation 7dce7efc-1183-4a24-941f-02f272452372 · outbound

This paper cites Gao and L.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Gao and L

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:56.921714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:56.921714Z digest=sha256:f265e6709dd45f879a2902a26a95967583ab6a9c9d3297b9a28d645c0bfe377b

Observation 39b3e92b-a9da-4296-86aa-140ebec7fc9e · outbound

This paper cites an unresolved cited work.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:56.992388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:56.992388Z digest=sha256:bd7b4f600be0394fb5c6dbb4ca9a921e003e66db726e52de9b45957c0e7c4b2b

Observation f0df4fae-8ad4-40a6-a3c3-0400586f4bc7 · outbound

This paper cites He, K.-H.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field He, K.-H

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.061667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.061667Z digest=sha256:85974adfd66aaab0f85bf7293aa0c61a5838b944609ed75c961d976b5c8de8a1

Observation 5a523667-3115-4a7f-af50-452768e677a0 · outbound

This paper cites Ireland and M.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Ireland and M

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.146662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.146662Z digest=sha256:cc4ac4a0d2226f442079cf33a38d29226ab1d04f0eac74e8b376b289f6c81013

Observation 26da52c0-9a4f-4829-b462-49176cdfc83b · outbound

This paper cites Iwaniec and E.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Iwaniec and E

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.244212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.244212Z digest=sha256:941879e51564109b599a6a489daf7e680192cbbb93283e9edc1840f0b833cba9

Observation 7adeb2fc-0441-4c07-bf92-d0b435c1c8a0 · outbound

This paper cites Katz and P.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Katz and P

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.327308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.327308Z digest=sha256:d9a6eb4c45f886109e1a99f05258fa6845a3df3f21c02c7b67fef115aa7e553f

Observation 9d93b19b-53eb-4ba4-b823-8ce33b64d349 · outbound

This paper cites 45, American Mathematical Society, Providence, 1999.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field 45, American Mathematical Society, Providence, 1999

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.403264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.403264Z digest=sha256:4de0a3a37684a7702d6afd89d78e1b92d6a0090b2a0b38eb855c23493f7fdcd0

Observation bf0729ae-f9a4-4565-b98b-0917c9a8f56c · outbound

This paper cites an unresolved cited work.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.451314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.451314Z digest=sha256:c40ca50d3de774b959b25017c6f7e6cbbb72ebd2f6c9f1d37007309be68fb342

Observation 180d3dec-d284-49a5-a54e-f9b5a75872d9 · outbound

This paper cites an unresolved cited work.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.547890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.547890Z digest=sha256:cc4de4641a1a76055568473cac4545cffead34705c2776c4d9001ee90fd77e2e

Observation d479a4f1-3bb2-4adf-a3e2-fa93090ad059 · outbound

This paper cites an unresolved cited work.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.630759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.630759Z digest=sha256:88c41e88345c2994f6155bdcc1b35f679beaf0a0434c7652a8afa9ec664d89aa

Observation adfb0abd-a59d-4e2a-847d-08b901843fe7 · outbound

This paper cites Sarnak,Letter to sutherland and zubrilina(2023).

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Sarnak,Letter to sutherland and zubrilina(2023)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.708557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.708557Z digest=sha256:ac098b5d4d4c4a8dda9fc7578a1b8917a7179623c5073ad1a0623a21eecdbe82

Observation f752094b-695b-40c4-8d7b-c8057f39fb69 · outbound

This paper cites neighboring.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field neighboring

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.788581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.788581Z digest=sha256:27850b3b0f5547f6ca5566b714070f55ebb7f493f9d4ae6a9ef9ddea70c18ecc

Observation 44e8688a-2d7a-4218-afc2-ebeee2864150 · outbound

This paper cites Zubrilina,Murmurations, Invent.

Murmurations of quadratic Hecke $L$-functions of the Gaussian field Zubrilina,Murmurations, Invent

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T09:19:57.862366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:19:57.862366Z digest=sha256:2c2ca1145516fca5e8ca33cca26bb3422dac87f31494ab32ad95067c025cfc41

Pith citing papers

No inbound Pith citation observations are available.