Pith. sign in

Paper Citation Record · LEDGER

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

As of 15 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 2026-08-15T06:32:42.880941+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:d205afd70526f016cc9bb97d5fe47a2036bfb82ab77dfc79fca62e7fb94fcc23

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=sha256:7724800312a0f05597cd4ef28d71772dcec080d569502aff8fc054d7a38c6252

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:d70a4f6c4da1b74bc3183a98758bc7275379d65cfa21bf92b5d6a9679fa0d3ac

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:ae53ba9e88416f8d8396ec5865ac85b62f025d91a1f794420e3f8b1d4396007d

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=sha256:6edacb1db32385e1b1e971b332c2076ae1557705e82ba6962952ecf0ac09c126

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=sha256:5c4cb4384f82e6aad53f02bb3098c1fcb28a782fb43f2d7706a56c9c0b0a5970

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:dd7135ae7afb507f0b8a4c3c5e249dc562b8b1e46206b8110bbff7180efc7457

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=sha256:97319d05c5668f859dd1d502e9f411c758f2415b19918fae4b9571e3f7a828e3

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:a213d05ada98184dfffc6f95a70304c1b3e3fc3048bfc85dc760942242201aef

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=sha256:842a184be38e87ea469d2c062243295edd9dddbf85f85a7e8a639548ad692e29

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=sha256:7380153cf7c6a8d636ee226842589ad9a0e22ea620cdfba24096a1df85bb8c73

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=sha256:9edaf4972074f57cb4af8fde773b476916e107a19881a61ab050ec249e1a32be

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=sha256:66fa6cc783b5ff961db5edca56d462223ec2bc92f134090e6db75004c9ba1f2b

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:fd68d7c33002c985f10e4596053d5ec18fd0eff90b6ce67cf4a14e1bc0dde6df

Pith citing papers

No inbound Pith citation observations are available.