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Paper Citation Record · LEDGER

First Moment of derivatives of $L$-functions in a nonlinear family

As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.09056.

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

pith.paper-citation-record.v1
2607.09056 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T07:55:35.863422Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:42:51.870261Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact14
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 353fc77b-838c-4e76-b6e7-0dbf6e0cc463 · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-02T07:58:31.069691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.778486Z digest=sha256:2c72da3c98253e882836eb0894e8619397df079b823d7933daf3e2e393c4c3e6

Observation e0457e12-d0ed-417a-b079-3f95896d64da · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.781804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.781804Z digest=sha256:c69d2abf7918a5224cc57e4be53adc4da103e970827842d3f894a80f03d17759

Observation e7cf25ee-7741-4da1-bc7d-709aa5e9969b · outbound

This paper cites and Hoffstein, J.

First Moment of derivatives of $L$-functions in a nonlinear family and Hoffstein, J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.786844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.786844Z digest=sha256:345cd656f18fdb4891713a276888dc3eb5b4318da4b6a7566c42a3b3b43fcd9b

Observation 355d98b9-2605-4f58-83cc-f4329ad6d622 · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.946710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.790351Z digest=sha256:abdda6285b940833097106d46017522316f6bab5cb82c4c6fbe399b4b9b619b2

Observation 1e1853ab-3b6f-423d-ba48-94cfd39b0193 · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.794209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.794209Z digest=sha256:5cff2af52ca32f68b5aa6e9a9898e64027964250297dac808cee7be1ba09a753

Observation 78a7e390-48ae-4052-95bc-0edda5633b53 · outbound

This paper cites Number theory, analysis and geometry , PAGES =.

First Moment of derivatives of $L$-functions in a nonlinear family Number theory, analysis and geometry , PAGES =

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.798194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.798194Z digest=sha256:007640db89d3986afddb95905546c2fb99fd695a1be14ba1984cac4b32ecaa8d

Observation 617c026b-bd4f-4e90-9705-b37be7c1184d · outbound

This paper cites Ram and Murty, V.

First Moment of derivatives of $L$-functions in a nonlinear family Ram and Murty, V

Reference 7

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.815201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.801548Z digest=sha256:c022b64b40de90b9b091d5b38a9fed8890e4dd4f67b16db9cc2b99240c48b691

Observation eccfbea4-34a7-4dac-a7df-12906f6afad9 · outbound

This paper cites Acta Arith.

First Moment of derivatives of $L$-functions in a nonlinear family Acta Arith

Reference 8

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.687847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.804749Z digest=sha256:2bd763a42d45d18bb78ea9acf3bcc15129315132a88bad584d954098bfd89131

Observation 673f2b1b-6c8b-4149-a9dd-baf22a460926 · outbound

This paper cites 2025 , eprint=.

First Moment of derivatives of $L$-functions in a nonlinear family 2025 , eprint=

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.808034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.808034Z digest=sha256:5d5f5faa42464f3fa8aaa2ac30b333a114507631e26fbb9403a4ff8bfb4e3ec0

Observation a104598e-00ea-4d33-82a3-59a27b631190 · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.810980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.810980Z digest=sha256:fea95a3625b163d945a4d861e89a47faaedd59c7b04a8cf3e98794eb23506e02

Observation c295d19d-9fb8-4876-abe6-7b5bb0d8f912 · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.571864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.814321Z digest=sha256:9681586e05a2ddf8cce46f1b1ed41cbc69bd653567629c3a92babbc34aa6105d

Observation 53adf26f-4fe9-448a-a4ba-e7cf4387dba7 · outbound

This paper cites A property of.

First Moment of derivatives of $L$-functions in a nonlinear family A property of

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.817502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.817502Z digest=sha256:d37d77ce017c250f636b95e6c2626504e19b1f3ac78336cc305337c5ff213903

Observation 677e8cff-1da7-468a-bc6e-0352574c64af · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.820584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.820584Z digest=sha256:c64ac0243df6c8edccda637e55b5d080ec0d3977748c19df5b6d1a449d2f0f86

Observation 30d96bc2-db40-4fc7-a6ef-76e10287c2a4 · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.459481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.823319Z digest=sha256:c19ff1e7dff8f4b7e25778fed241e5368b1da9dfa1d4f3920615cba9a7f088bc

Observation 09c6243a-c576-4793-84f0-45413c562f4d · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.349072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.826418Z digest=sha256:7d5c82a45db76a13cc474a31f2124ad27a185aeef2145cdfd49540e5b0d18c78

Observation 4465d497-254a-4508-8c19-0e4381cfcf8a · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.200801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.829628Z digest=sha256:02b6ff0d8b117a21adf5b3df96403432a473a3430247683e369ff36ca68f8ddb

Observation 63b6bd03-4bbf-4143-b507-20167b88f31d · outbound

This paper cites , TITLE =.

First Moment of derivatives of $L$-functions in a nonlinear family , TITLE =

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.832274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.832274Z digest=sha256:52f8ae5d80f57dec52c51bb068981b69efd96db46a24e83d8f6c7a8948eef1c5

Observation 6c5dc394-05b4-4213-ad28-d7dd09f376f8 · outbound

This paper cites 2025 , eprint=.

First Moment of derivatives of $L$-functions in a nonlinear family 2025 , eprint=

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.835502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.835502Z digest=sha256:c76227ad03b0da1bae296e1647462332f7dd3ee809f50273b77f26044a5e4af3

Observation 9e36e1a4-5479-493c-a39d-1218efa6c6d5 · outbound

This paper cites Acta Arith.

First Moment of derivatives of $L$-functions in a nonlinear family Acta Arith

Reference 19

Resolution
verified exact
doi, observed 2026-08-02T07:58:30.078273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.838512Z digest=sha256:01a00442637abaddc37762650486ce89ef9f9c9be81e35d0eb25ecb0c9b7d5b5

Observation b9c52325-dc96-4314-903b-8332109f10cf · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 20

Resolution
verified exact
doi, observed 2026-08-02T07:58:29.930220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.841547Z digest=sha256:a6771a06f6ec891fe55d90ed49b5558a433a269581f0472f428290c06216b74a

Observation 6fbce06b-e73d-4710-a3e9-b15b8e33a0ad · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 21

Resolution
verified exact
doi, observed 2026-08-02T07:58:29.800605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.844917Z digest=sha256:ac9bffad3bb7d3d9eda18ff5d192dda27195ab4315fdfe4f76c0b189bf8ba0f0

Observation a3b0a225-8e51-45f7-beb3-739763825050 · outbound

This paper cites and Prasad, Dipendra , TITLE =.

First Moment of derivatives of $L$-functions in a nonlinear family and Prasad, Dipendra , TITLE =

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.848044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.848044Z digest=sha256:2dcd355a5147b0570eac09d110b1f96b17b6d3fb278600f869f9d17de174a899

Observation 20f3416d-c764-48f1-922d-c3cab11cebbb · outbound

This paper cites , TITLE =.

First Moment of derivatives of $L$-functions in a nonlinear family , TITLE =

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.850899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.850899Z digest=sha256:9e94de13cde7c038a885c3bc72b5cee4974f2849d415c693feb14ed058d05a8d

Observation e55b214a-408f-4cae-b1c1-f118d642cb35 · outbound

This paper cites and Zagier, D.

First Moment of derivatives of $L$-functions in a nonlinear family and Zagier, D

Reference 24

Resolution
verified exact
doi, observed 2026-08-02T07:58:29.664361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.853899Z digest=sha256:d7e665c939560d2fcf25e1a78376709773f8dd96b084ef86ed62f37cc2a60412

Observation 84ca88cf-8888-4de7-914d-bbd3b239391e · outbound

This paper cites and Young, Matthew P.

First Moment of derivatives of $L$-functions in a nonlinear family and Young, Matthew P

Reference 25

Resolution
verified exact
doi, observed 2026-08-02T07:58:29.538512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.856739Z digest=sha256:5af5bbc76c61fbc3349daddc1106cf4a14769748b9f1c6c36af470a91d59d30f

Observation 25672b24-92cf-4976-b12f-e609bff8074b · outbound

This paper cites an unresolved cited work.

First Moment of derivatives of $L$-functions in a nonlinear family Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-02T07:58:29.398253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.860391Z digest=sha256:68b58e3d6a9f21d2c81d16039a20e099d2409f3c8fa5676abe074e96b84ce4a3

Observation 85ebc4b1-5721-4601-bed3-db9e1d77f5fd · outbound

This paper cites arXiv preprint arXiv:2603.21739 , year=.

First Moment of derivatives of $L$-functions in a nonlinear family arXiv preprint arXiv:2603.21739 , year=

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-02T07:55:35.863422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T07:55:35.863422Z digest=sha256:e18ff9792adb8e48f78911a11336003763f61919b8b1640300610a24f4c7b80f

Pith citing papers

Observation 3687763a-4a01-4daa-a883-4174535ad8ec · inbound

Binary quadratic forms and elliptic curves with analytic rank one cites this paper.

Binary quadratic forms and elliptic curves with analytic rank one First Moment of derivatives of $L$-functions in a nonlinear family

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T14:42:51.870261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:42:51.870261Z digest=sha256:9cf9deb7f3b314f5d32e0bafe099f40bf09d259c446c3dbee6e800482e4ef3a0