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Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.778486Z digest=sha256:b0d3222a7d06c5be5188ab8c8ae3446bbc0eea6708f7bb45cd107887e20655a7

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:f3cc0ac4b6088fff36b47ec8f81846e975bd4fec123f2c901200f72fdf983536

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=sha256:6685026a64cc5f7370ff30924a6c6eba98df976fc26bb6209da5c066e778f464

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.790351Z digest=sha256:d78856732e37163b6a4f8c007853f431dfb53f3dfb7a87edb20acca02267a3aa

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=sha256:1ff99c89d6131db1c0bdc3ee083fa02812464a717b19bb7d8e50b34efe380fc7

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:ae7a65ad38e9e489c83f2fa54979b503b6ba1ccaf942d5e9a17045e01de78d5d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.801548Z digest=sha256:544acb54f180bebbae462eb224655726a204771371cd7d15f12f598eff9f3001

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.804749Z digest=sha256:ad618b884fc4e33c5745498a12aa9159630df90d773d7439ba5679d84f4c1836

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:d422e3bafd77de2957c16fbfe8fce780f362faa99ae7a68b43a8db785caf8a28

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=sha256:3b8c4d3df195f06195a1d35c89b671e8b411d972a68c6489c0c46e4690ea605e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.814321Z digest=sha256:6b6bfc71f36779fa2a20139d82e0fef8d2e69f447aefcaedae483156f456241e

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=sha256:4e2a2b6cd972f4f18476e71cbcc3b423f41b7dae66b4e70cae1bb82f80990f5a

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:abb920ea72147e246389510088a0b97cee45808f236ecae74af9f27557f3e15c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.823319Z digest=sha256:8df5a5c372463b6e0bc3cae204acd73009d69854ab0eff5025ff5fd15f9d8594

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.826418Z digest=sha256:ea594bf8818c60561c99ffabd517d81b0786f874b2a96bbff1df43128b829773

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.829628Z digest=sha256:bffa029054696f7d1e9a6e10d33033b7335df41fbe15eec1eb29b6338e7a7882

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:cf7670d027e761b621a5977ed5b57a124a3b64454c89b2516ca6ffa773af9c74

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=sha256:6f55eb8e7b4c402de1baa14c6b0da240c7598637a67b95e5256786f91e2432bb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.838512Z digest=sha256:73e043a293a3057404e5b05b5d21c4748592f172077c227da6f177ab57ea1031

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.841547Z digest=sha256:2f22034708c3e1cdb632c28de828ca0cb409f0c56ed3efbaff4f8d44b56cd55d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.844917Z digest=sha256:47967a04e6940544e81ce8f4c851a965e801948931474b9cb667649f6aca641a

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=sha256:96912212d3b2da468a22e646dc9203363fa10b9514330f30d4ae43b7a31fcd5d

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:dd0de0d6573d3bb2bfbd49aa0b1d8b4814fec603d27971f27162e9db637292b1

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.853899Z digest=sha256:a5af7522df7a744a7547cb68ba2eaff9e277727f83446909c7b4ba1e603dc3e0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.856739Z digest=sha256:b2e9439c6b2288e142d0bce83d898cb0387f517b467030a281380d635a682fc5

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-02T07:55:35.860391Z digest=sha256:c350546cb84b917609becaa98313926c5ce939e7d74458331d75cf1fc1c7126c

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=sha256:158f3c10812a172127252f879750abb92e38fc0528ef6914477ce17559782645

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:fc4a8867af1cc04e95702d4075b540c006e58cd299aa6d839497a71d6e321421