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:b2f45468c3f9c65119af05addd8752f80fa5756554ad29ac4dc5422d837c435f

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:b17955524664cc1b79097624adf80b2c037c46fdb891731969f00c1da8f100e3

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=sha256:3c3011db0a4dcc7a07b3e5b2633255486d7356aada44274f62cfc14a958d9122

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=sha256:9e1661f24f95743da3a8824996640df93e0fc0d88e425777e3a2fc91a0686949

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=sha256:0990d4f01e288f59195b7cab71f08fbbf63d8618e2dbc3af7d893dc9105a0fad

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=sha256:119639c37c6ee2f4ca4997e051741152b1c749ed38dc58be908ee5bb75b4e443

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=sha256:5f8c5cb0f32e1d50fce91c8af0be0698c2d1adddd8140a01b28a6384ef434a89

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=sha256:68b1a5b1420b477078e0d180996b1ca8a75488053274841f6500a194051499e0

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=sha256:7a1ccb0d4c4b3bcd686c5d185f81447f6f83ef211a6b350e55c2ed66228fb85c

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=sha256:328f1935a994526b5df982262fc57d118c59598555c971a8ffeff3d3ae14cbf7

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=sha256:3f76ffd90facc5de6a416ae6ea94fb43e2ff029e63cf280d2841eb144ce4f39d

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=sha256:7b7223c3aefba1e6f2fc2b6ca1c149043ea84eb85188db38a567565977b9106c

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=sha256:5b5057b5436b867ad8562ff868a953873bc8f55dc4643936db2a5b0be62e2f61

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:e02ec04aba0d22ee0d4719d6f60a089c1ce1015ef4ba610591345aebe2931c21

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=sha256:5d5d032014d89d1ead9a6dcf3ba5aecc0ff8a9babb77ee7e3429c43f48f35a7c

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=sha256:1935c3bdb4de82ef34529d201873c01b4b2be6ff3aeac241efeae7bc6b0ae607

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:f38ee397d5de2198efe76b5713fd65de684640fa18bb56397bc546972fd7ea72

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=sha256:0500a31ea393a32753ad7848c5db2b9a4ca5885b009e3dfbb21098e0b6348599

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:b7a556ef6791a1db9464295c041fa8e89f45a2208ca1e0663be2347e1db82efc

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:eff33d6d204aa39580865af661998398e95ced3e3c8b2062600c0cc09304aca0

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:d359ccb8e82b8347e68f5bcc22f8095bd80d1a19db239a0982b892faafc05676

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=sha256:315801bb30e737249223460289df0f256af12077fc0d1e715922e2642f95e8a3

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:ad154dee0d932e6a247c358ca47eca2c9eb99423051418143617925a001d4088

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=sha256:4303ec0cf29df4eb201260da1bb67f3aad2520738702c5fb5c5f5c3c71fa69ab

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:ab273eb9d5b23189e8e1548f9f40e921b344f7d26fb5af868ac2ecce90d5d91c

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=sha256:888924eaab82f16e5458b5b1eed6f70442dbd650206f57a36dd7694c9555852a

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:dd8f7a158df976967b959f06b5b255dc8e7a146f6f391329f6650068001b202c

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=sha256:62449c3b43d055cbee20987e6c191eab2243f4580da61296603ac27299db7f94

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:dae3312775cb403d970f6d568be2bed46345ee3e2efe969befe085b114dd79f7

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:da424f9ed31a71721463361bebd04583953788b115f0f14e3ba29a45ae516efe

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:f744d7d97255197c724cc7d3afda100af35df7c570ab4032dd7fde11c0f665c8