Pith. sign in

Paper Citation Record · LEDGER

Iwasawa theory and ranks of elliptic curves in quadratic twist families

As of 18 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.07308.

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

pith.paper-citation-record.v1
2412.07308 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:10:13.962464Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-07T18:56:17.298784Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-07T19:04:02.055041Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 466baddf-61d8-43a1-bbc2-93ab95f97127 · outbound

This paper cites Bhargava, D.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Bhargava, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.663138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.826616Z digest=sha256:f182b5c6049db4cd4c4550aef49eeeb38e4290be133cdffeb5013a207d4cc579

Observation b09dfd0b-ed7b-4138-b31b-9edf7a5584f3 · outbound

This paper cites Bhargava and A.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Bhargava and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.649322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.833449Z digest=sha256:86f8749ed3b8e0105dee725e543d8c00cc7e04e28afc3d84b6595a7cec73cad8

Observation 66d4a395-047f-4053-873f-28423269cb89 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.634733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.838009Z digest=sha256:dfa00631f2cbaccdbc63ece80cf09f1ed3d1d545710546458865e85d06b71806

Observation 14265366-ebd9-4b51-8a86-322a43a80e21 · outbound

This paper cites Dokchitser and V.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Dokchitser and V

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.619560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.842621Z digest=sha256:d0c63b35940f463ed2b252613061209851233a2822978035092ff139967836cc

Observation 35ebd306-f9b2-497b-a4db-9e7e71649957 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.604992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.846710Z digest=sha256:7328bc2e877ede81198b1e5b393d7b64870c9188b9158c6f0db2288de6e53530

Observation d390bb16-b6bd-4dfc-83ba-c61b7354f7e3 · outbound

This paper cites Goldfeld.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Goldfeld

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.588680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.851135Z digest=sha256:a400fd157893c4e9a0f601cb0ba859b51d361444e10acc031b094d53287306e7

Observation a7257733-5a54-43f6-8c47-e1fa34c1344d · outbound

This paper cites Greenberg.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Greenberg

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.572534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.855655Z digest=sha256:0a476909b6c3ff0f6855192e6e06dad2aeb373389ac85cea7a9ecaa10796c0e9

Observation 21120164-7a27-4ac5-a7ae-7a067b2d0993 · outbound

This paper cites Hachimori and K.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Hachimori and K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.557045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.859994Z digest=sha256:bebcc63d4f9c13f20bba954748290a273693163ca845c22ae8f39c1f479618ce

Observation 4759e1c7-4c65-4fcf-961d-0d3600e5bd31 · outbound

This paper cites Heath-Brown.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Heath-Brown

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.542458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.864302Z digest=sha256:276ecb8aa3916ae97017193373cfbee68573d59e73b83ff7205b596fac3379b4

Observation 46162f58-f818-4246-b8ce-f3f5a01631af · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.524764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.868540Z digest=sha256:1c3a71c2339b8dd621cff1f72ca347ce82b85de304e191b0691f91484cac87a8

Observation aa505014-6d6b-411b-a304-c73e4e08cbcc · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.508966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.872601Z digest=sha256:131b8e8966c988e52c59d0b7f76f7be58dd1b770de9004286d63e6562699b54f

Observation a2e03b5b-d931-44ee-b12d-ce15a5822116 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.478695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.881818Z digest=sha256:a2e39f9bcf5c714077d7adb174a653e7f7fe300a52a4b49009f980a7b477d87d

Observation b1b1aa07-a933-46be-ad22-4c7ca814ee0b · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.458982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.886080Z digest=sha256:5b4185a1137b0d5ce52e9b00491e14fc5b1350edb66849330747e8bfba724a05

Observation ec335339-a953-4258-b6fa-a6c9300598f1 · outbound

This paper cites Kriz and C.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Kriz and C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.441671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.891104Z digest=sha256:9db9964f73afba394cacce047c64ccbdbf71b34ff221f785d9c3dcb1b6745dd0

Observation c875cbba-301a-42a7-b42b-0b18e61ff7f4 · outbound

This paper cites Kriz and A.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Kriz and A

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T19:10:13.895932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:10:13.895932Z digest=sha256:a1698df05aa2b9b9c0dee1431fcf14b733c3e8cdcdb5a1f74ab14469bf952e1e

Observation 3026b8a5-3147-4034-a67d-ab890ebc8f49 · outbound

This paper cites Kundu and A.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Kundu and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.420975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.901213Z digest=sha256:83200fdacea4d35ce246eb2877a563b55a5c7e9317e377d6929534f59ce51c93

Observation e8befc77-378d-4ece-9078-6c7233b7afe9 · outbound

This paper cites Lozano-Robledo.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Lozano-Robledo

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.403460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.905508Z digest=sha256:f5dbe1716bf7af02fe0f67ce83b0d9c7277f8d9c0abdf1396772e948d7699fe2

Observation 3356d61b-1323-46a8-8df9-ba380d72f4d9 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.387956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.911652Z digest=sha256:678d342b057d91174d73ac000090f4e17992909486d4736408ea25092f442910

Observation b501d138-7926-4a66-8874-9aa787186b96 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.372466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.915843Z digest=sha256:cc01a3e4286f5c03c450a5b1f707680d7997bd4731bce34ba8ea2ab62e74d6aa

Observation 23432d5d-d590-481e-83ad-90012fc4733b · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.357548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.920153Z digest=sha256:d872d5cb6a3139021994869e5e526c698d99f0d37e745a2edea31090abdfd5b2

Observation 573169f3-81e6-4ada-983d-835184c434a6 · outbound

This paper cites Ono and C.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Ono and C

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.341543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.924317Z digest=sha256:50f582b56b2865b3e2d4b7774d6ebd1bf7c9c6f1735b1cffd3a4e48a2ffe9c24

Observation 92ab333e-1f9d-4080-a287-a28152d7ff73 · outbound

This paper cites Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-11T19:10:14.025781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.928443Z digest=sha256:0ab3aa454556eec3eeb8064cd5f0bf7893c0426e6160f48922ccde49855f089a

Observation bd8cf7a8-9f81-4da2-a5f4-af4d0b45aced · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.325025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.932894Z digest=sha256:46556281f03a7c7bc6b97698df01fb745d5abd53e1caf88bd28fd9f0987e9a5e

Observation 2b4aac5c-88af-4879-b954-0d1b1dbc515d · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.305211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.937986Z digest=sha256:2b1db343dc6595f4d5e3bcb80f64f8db01492bbc9081dadf4aaaa4707ce1e900

Observation 67f2576c-735f-4360-ae4e-97556e878ca0 · outbound

This paper cites Rubin and A.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Rubin and A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:10:14.288783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.942785Z digest=sha256:71482521c9975dcceb4d58e376233a9e5fd8bb2f4bb14c2334a91d537f71278d

Observation 5e5f75f1-8779-4776-a2a1-c42bfd0492b9 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.273510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.947885Z digest=sha256:276f8264d206906a276a525bef888b17632731db989bc2bbea8c65ac18c6de35

Observation 7270c042-8133-4f34-a0ee-8e578c7ad449 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.257429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.953035Z digest=sha256:48989df430f7143ebcdf506783065ee8d12de9430551774ba4069ea5b011164c

Observation ddd9d69d-02f1-4974-9989-d447b310b614 · outbound

This paper cites The distribution of $\ell^\infty$-Selmer groups in degree $\ell$ twist families I.

Iwasawa theory and ranks of elliptic curves in quadratic twist families The distribution of $\ell^\infty$-Selmer groups in degree $\ell$ twist families I

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T19:10:13.957944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:10:13.957944Z digest=sha256:438a326b75c2e38a1eea52feb8440fb70b7f48707ff940735bef12340d1b94c6

Observation 66ee48fb-cf55-42aa-be38-c86124e3bbe2 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.242425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.962464Z digest=sha256:8b47e026211045457acf69c94bfe7ec1814c5ce4e07263047574fea13e81cbf8

Observation 2b2befd8-bf81-410c-bdb3-aa6faf8925a6 · outbound

This paper cites an unresolved cited work.

Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work

Reference 2004

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:10:14.494248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:10:13.877183Z digest=sha256:5ce30f9c22686081f4c0ea7df98535640346187d1cd122f7033abcb5728962e6

Pith citing papers

Observation 34ee9e24-0ac8-43ae-8db3-931097eb80f0 · inbound

Iwasawa invariants of sharp/flat $2$-adic $L$-functions for quadratic twists of elliptic curves cites this paper.

Iwasawa invariants of sharp/flat $2$-adic $L$-functions for quadratic twists of elliptic curves Iwasawa theory and ranks of elliptic curves in quadratic twist families

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-07T19:04:02.057341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-07T18:56:17.298784Z digest=sha256:ad33665ceea51aa49bb81cc85b8ce0a727fba591802e676f25c46bdf37786ebe