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Paper Citation Record · LEDGER

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields

As of 17 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2608.11969.

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

pith.paper-citation-record.v1
2608.11969 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:28:08.090406Z

measured 71 of 71 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

71 of 71 outbound references displayed

  • verified exact18
  • verified fuzzy18
  • unresolved34
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e2dca95c-3367-4f71-97f3-43534ac35ca9 · outbound

This paper cites , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields , TITLE =

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.841085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.841085Z digest=sha256:10c8c3a8fabec9c8442de0af7c91e984bdcb8b6f1fd2517fcb7cba17c1b51cbf

Observation 417122e4-d2e7-4948-999a-d334ae6e67c3 · outbound

This paper cites 2000 , PAGES =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2000 , PAGES =

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.846483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.846483Z digest=sha256:d2d4942d186f4baa5cc076b5c49546acab71b1574f17b7a19dab3c41f5c0131e

Observation cf38c0dc-1267-4f5c-a453-8f43b3e01c2f · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.379629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.850266Z digest=sha256:02f969585b58b61395ca0dfa18e2824c42adb721413f0c8a04e0cc18ddff5a60

Observation 44902194-2d71-4141-8d98-c66baaf0de09 · outbound

This paper cites , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields , TITLE =

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.854523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.854523Z digest=sha256:c6e244c8859cedfc6e33a01b164f4e54194f364dd4e8356c90ea98c901c79904

Observation c2a7ec15-1d8b-4916-8082-e0497683844b · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.365863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.857818Z digest=sha256:9f4768b830b16f83c982a70da8c668f81cbcdcc304aa10a99a5a35dbc0751e0d

Observation cf82cbda-3e6d-440f-be1f-203f4b569e36 · outbound

This paper cites Arithmetic theory of elliptic curves (.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Arithmetic theory of elliptic curves (

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.860959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.860959Z digest=sha256:3a300c2ad6fd99a403ca96bea4fcb6618bc3c2582a2beddf6680c5e9e0d44262

Observation cfff1101-a218-410f-9331-a9f6f54fd4a6 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.864200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.864200Z digest=sha256:9516bfe8a100c7676ffbb31cdfc1e2f2228cfe23336dcc728981354c957b73da

Observation 9bcddf10-380d-4ecf-b834-b540bfd5ff8a · outbound

This paper cites Algebra Number Theory , FJOURNAL =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Algebra Number Theory , FJOURNAL =

Reference 8

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.352072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.867691Z digest=sha256:52827b62d981d41c9795e48a22adbb57e0781dc3ccd55eef892c676db5aad67e

Observation f5d3c9ed-dee0-42bb-8cb2-00f3330055b7 · outbound

This paper cites [2021] 2021 , PAGES =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields [2021] 2021 , PAGES =

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.871391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.871391Z digest=sha256:0d6a08f8d519496f74c7018642d7c494e24995f9205d68401c2bbd05a3f1d897

Observation 4df3cbf1-4147-49d8-8f7c-2a9c8da8b599 · outbound

This paper cites 2013 , PAGES =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2013 , PAGES =

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.758191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.875429Z digest=sha256:5f8351cb3588d7112f7ccdf4ed04b0a40821f751421169135e8c3e5c11fedccf

Observation fd2e18f6-0338-44ba-a195-d05d16c261a3 · outbound

This paper cites Erratum:.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Erratum:

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.748766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.880094Z digest=sha256:1aafb72d879b3f75573d90c5be4bc7794047397fbce16526040ac5b227fe7436

Observation b8ea44dc-5397-449c-9f53-051a71af0820 · outbound

This paper cites and Stein, William A.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Stein, William A

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.883913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.883913Z digest=sha256:b98ccbf27e018cab20b0c24753855386c198e297114a024dba6af2e06b015f48

Observation 8028e116-b644-4fd4-bda5-4946a85bc62a · outbound

This paper cites and Takahashi, Shuzo , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Takahashi, Shuzo , TITLE =

Reference 13

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.333896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.887668Z digest=sha256:0820c516f3d75a05001edff59350b8ad26b345212ef5c1f5397e2734a935c268

Observation cd526e66-2c9e-4d35-9934-13de7498effd · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-16T00:28:08.519864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.891590Z digest=sha256:7cce8ae2412254f781c28ab4bff2738a857276fdd2b5e6a9b0078ac17ca2c712

Observation 7d7ec9c8-abc5-4565-8faa-87f3dbf5b27b · outbound

This paper cites , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields , TITLE =

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.738572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.895354Z digest=sha256:a513ec9f885e5b0a55b5f084b3fe38e85b030b8855f9f8409ea366ccf63327cc

Observation dc110ff6-bbf4-4eb9-b8d6-41715a0380fb · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.727002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.899253Z digest=sha256:2ed0a18f31a8c3b491e554fb8b2e09e6200c6651e3f6ba1f689241f3d7508c19

Observation 26b598c3-e8b9-43ca-9534-8df7f7bedc20 · outbound

This paper cites Duke Math.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Duke Math

Reference 17

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.325917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.902826Z digest=sha256:dac5c950679e139f5aeefa617153d8443c8cd82b12ceef6870edc3af499a7933

Observation 99a4de36-0d61-4727-8bb4-c429169d9136 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.715921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.906471Z digest=sha256:68d10657b3d5b0cad6b0a58d17a8ff284e580dda44fc08afb1c173f9927ebf89

Observation 355fd56e-beb5-4bc8-88cf-0cc6d5b00991 · outbound

This paper cites 2022 , eprint=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2022 , eprint=

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.705144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.909639Z digest=sha256:ffff1fe33e8f96230fff9681fe3b3677657271014e42bfddc4d2f693f64e2595

Observation 92770567-1d98-4a97-8a3e-3b7acac1d260 · outbound

This paper cites Journal of Soviet Mathematics , volume=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Journal of Soviet Mathematics , volume=

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.695189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.912416Z digest=sha256:efae6d226c6b9be2d7fc118b19ff57d4150bf48a5671b1cb4c5153ceaa23c5fd

Observation aef17d0a-8b0b-4529-8fd4-ed98f12fbe70 · outbound

This paper cites Algebra Number Theory , FJOURNAL =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Algebra Number Theory , FJOURNAL =

Reference 21

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.316166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.915610Z digest=sha256:6994c39f9be60f43890bfa3a733810de069c831717eb00a5e5ef992cef974c63

Observation 7719e174-e0f3-4f96-8c0f-c9957eb1389b · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.919055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.919055Z digest=sha256:e4ca515f27061ee23e2a3cda67d4f24cf9ec6c0f925abe2368c96276f5020d48

Observation 56be076c-4d32-464c-a93f-935424d9ec07 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.923053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.923053Z digest=sha256:81adf7d6fe561b14d36380a489b6955119d25ff849e5bc0fb3301b66731cf154

Observation b35ee639-d9e2-41b0-a208-a52be516c3e7 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.927235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.927235Z digest=sha256:20b57adc86c278bad31cbc2865474491bef3872d981ed46deee89c7aebacc54c

Observation 228b45c9-bdc6-493f-bfbf-bf8081a12e75 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.931258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.931258Z digest=sha256:e261acb3ce999acefa591824d1e1e335411b942c3b51ffa8716fb89dff27e2ae

Observation 886e545d-459c-4a59-98c7-3714031e659b · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.680863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.934915Z digest=sha256:c62d8b1c3d0cf75e9966bffe8bd79646b1b99cb7309d1a1b98cf47d085c60eae

Observation be828e86-ac2d-4b0c-a550-7ed99e1e8f1f · outbound

This paper cites , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields , TITLE =

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.938654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.938654Z digest=sha256:10acec0af40d9573c26e2b85caf7cde9ca7e015f0d83c42573d014a59177bf26

Observation 7ad46af5-de58-487b-bc30-eb3e427b54df · outbound

This paper cites and Wiles, A.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Wiles, A

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.942037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.942037Z digest=sha256:0655bc7701e4c9e706f595c1d536254475f9566584b3f638a2013ce8da5cebfd

Observation e6b03a63-558c-4852-a2af-4b27e6e07634 · outbound

This paper cites Compositio Math.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Compositio Math

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.673029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.946333Z digest=sha256:d71e0c1de98f28795525d411de41ce6060bfbe63a5ae4618f579064fc466cdba

Observation 88c6226a-8756-4807-a941-ae18d66b8c61 · outbound

This paper cites and Zagier, Don B.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Zagier, Don B

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.949723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.949723Z digest=sha256:362d07138c5faed2c3171234381a2009c3f2d7ead6f41f9a307f91262b28ea70

Observation d9d86673-2095-486c-928d-69ad6da846b1 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 31

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.276648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.954007Z digest=sha256:e1817a891712fa76ad31318d5de348eac523e22ef76d5a59deeed761156cf582

Observation 3250f2d2-7572-4a33-9f11-4209a08779f4 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 32

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.266945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.957550Z digest=sha256:028a6b3c07326a0146f8ae7452082e92c8f54974ec3372f1ac4df76ef54ce9dc

Observation 9cdb81e1-b89a-4b20-91d3-73bdac268f05 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 33

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.258775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.961097Z digest=sha256:cf5aac7f907bc5fd4f7bdd2a596856610998a7db687f74ffac2bb6d74b27d2cf

Observation e951da08-f4ec-4bd2-9e3c-862ca2de4d30 · outbound

This paper cites The Iwasawa Main Conjecture for universal families of modular motives.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields The Iwasawa Main Conjecture for universal families of modular motives

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.964754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.964754Z digest=sha256:0f5e3193cc67731be92a4f85c3acf44900cc26ff76bb8ff4b91a9f8f0ae35234

Observation b7f5e1d4-6a41-468f-937a-fc2cd25b73eb · outbound

This paper cites Duke Math.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Duke Math

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.968170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.968170Z digest=sha256:8f81aa13ea894d2ed3cdcf369cbb6aff7c4a18ab727058db8fa387ccb5ce7af4

Observation d57219b6-023d-408b-a65c-abf4723c4e4c · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.971424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.971424Z digest=sha256:7409cdc64b72f1ff67a66952134e7e945ab04937dc3d883f85b93ca2fc30c5d8

Observation 0078d695-ec1f-4fa2-8dad-5a62c15f959b · outbound

This paper cites Duke Math.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Duke Math

Reference 37

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.239935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.975695Z digest=sha256:cc25684eb39133646adba398b224833a12d65dd1730dbbaea4762ee4ee8bca17

Observation af4d620a-bb82-4f10-9d0f-d56569368fa0 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 38

Resolution
malformed identifier
doi_truncated, observed 2026-08-16T00:28:08.230505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.979684Z digest=sha256:f61946916b8221b7535dc73f2b46d31b95bc8ca509c545f1403bac85b826701f

Observation 53ef2653-e6ec-4bd6-8253-b00530f75030 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.982904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.982904Z digest=sha256:b35e3baf5285ed35b3594ecb9f0a2897982ae9b7701dd13dbcc41a114241d4d1

Observation dc5d626c-38da-46ef-a296-0e155c4ce2ec · outbound

This paper cites Arithmetic algebraic geometry (.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Arithmetic algebraic geometry (

Reference 40

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.215469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.986338Z digest=sha256:caa83d39088c06740e25af732703cef8a072fc7e2dd99148d08f0ebe8434f8ec

Observation eddceb51-caa3-4559-a29b-b86fc7d8c6d4 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 41

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.206479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.990055Z digest=sha256:171d34e516cb99f4e9040739339f0242eb087a3909c55183aeb2e14484cff82d

Observation c5397509-c150-433b-8fa8-3ce870aa1340 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:07.993678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:07.993678Z digest=sha256:cc92dcca7ba860d75c38b4497204a43f6eece3a8c00d78542f1568e22558fdec

Observation d2be9a35-5895-4fa7-b2ee-fe31e6009b0a · outbound

This paper cites 2024 , eprint=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2024 , eprint=

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.664289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.997977Z digest=sha256:e00d5b3904389cc91497a2169d9c7104ac99c447e2501b43e03f8f5f84c30aa6

Observation d4d32cc5-99d8-4c53-a8e6-99f84ce142b5 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.001420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.001420Z digest=sha256:3b4b439d1c0d33fd6680246cdc8e42b92c532baf3e15e537069ab16b39a479a6

Observation 95a97e2f-3b34-4e44-ad5a-342752977a37 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.655391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.005134Z digest=sha256:b7e2f7b2aeefed5c45d3fe8d4c4a474508a5f3139681587cfc082b10ff55450d

Observation a7fd21b8-bb97-4e80-919a-cc329025dc9d · outbound

This paper cites , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields , TITLE =

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.008769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.008769Z digest=sha256:13c0be40b8c0d11598533b23a67fd1f1dc2bf4d8be1a8ccc866ed17942383653

Observation 15d744d7-3a84-4c32-a11a-efe0f4ab60f4 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.012762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.012762Z digest=sha256:64213485e8c50b6aaafa659c31d7bc6d505867c10594c1d2e33c5cb51b20ea4f

Observation 2c3df7e4-d94f-4593-b776-be577e28b928 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.016559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.016559Z digest=sha256:f8d25cac7e2571d9e7b7de27e5c0042fb6debe717970f4c352ac187b4a1ebfac

Observation ea1a0975-274c-4e8e-bac8-18c1a7d3499c · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.646314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.020037Z digest=sha256:aaf4459c12af3f9b723a2e06bce634c9edf702414849d52aedee462d955ba93f

Observation 38c146b4-984e-4a42-b5bf-43a872acb05f · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 50

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.171332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.023714Z digest=sha256:0b05920a7bb0edc443242d1ddf3dfc5f919552bc0eede5697413c6ecbd2a0a79

Observation 9c7c7cd4-ceca-42d2-b5f6-b5d69cd1fff7 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 51

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.160986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.027152Z digest=sha256:8ca39580f34242b4532ed1fe255ed6c62827f4d5e5566814e60a2d99a964ea5d

Observation c70beb18-3fab-479b-89c3-ef6affc4e4ea · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 52

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.152802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.030118Z digest=sha256:395f9ec01bdc016985e8500795ec08f43c23bfa26c96b57c261a45f111ab5e45

Observation 69422fc1-69de-4c58-8631-2648b39b6b1f · outbound

This paper cites and Siksek, Samir , TITLE =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields and Siksek, Samir , TITLE =

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.032749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.032749Z digest=sha256:1903c0c1552ffcba30f634e52d46bebe7a389e5197a7b33bea2800488c6aca18

Observation e5a95e52-c797-4b1a-95a5-246e50bd6513 · outbound

This paper cites Iwasawa theory for quadratic Hilbert modular forms.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Iwasawa theory for quadratic Hilbert modular forms

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:28:08.401681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.035689Z digest=sha256:fef1382e764aeb24a286dd9de6ce34d95f421536efd8348c4b8582a443e39002

Observation 399f7673-a15d-412e-808d-a86a15fb9546 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.038544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.038544Z digest=sha256:2b5087539d8fcb40e6bc5c55143c3043244566629896a01c2fb6da9b96bd0404

Observation eb9c9fcf-8eac-43b3-ae51-b3f3d40d98b1 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.041347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.041347Z digest=sha256:965901c686fa116afe20158c9e715134c5bee66d149e32ed9d47fda447ed8026

Observation bfd0c6d1-2a26-4575-9d52-661c70c3d152 · outbound

This paper cites Arithmetic algebraic geometry (.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Arithmetic algebraic geometry (

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-16T00:28:08.044113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:28:08.044113Z digest=sha256:100ad721dd096682bab9ed6f0f2f44f414cad2d55de9069540d750824a7a0387

Observation 65005bcd-9214-482f-803c-c862fca2b8f0 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.637251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.047341Z digest=sha256:aeeeb9d92cdb4525e47c77f948fac32c7dde7f02f315ba5b6f2b5ad2cf20bcb7

Observation b4d090cf-19ad-49f6-bf2d-6ead22ec8111 · outbound

This paper cites an unresolved cited work.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:28:08.627791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.050442Z digest=sha256:cb6cbc3218b4c6665bb582936d570bffc1241b48c179164c3eb7cf19cbd52e96

Observation 51fa8189-61f3-4c2b-8e8b-aaf917397c8e · outbound

This paper cites L-functions and.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields L-functions and

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.618320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.053607Z digest=sha256:331b0950eca9ddd2ca647ab7299ab066749e6e50c6c9d3239726e8d7a061e77b

Observation 15415d7e-5851-4f87-893f-f8298cd2ffb6 · outbound

This paper cites 2016 , eprint=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2016 , eprint=

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.608388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.056906Z digest=sha256:a44a7fcad84900430230650ac4cef4b6a8f0e07f76cd033aee5b6735aab84758

Observation 4dc48605-02f9-4ab5-8769-fd5611aa4110 · outbound

This paper cites Algebra Number Theory , volume=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Algebra Number Theory , volume=

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.599187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.060088Z digest=sha256:84c9668553f5b07b145c744f73100d4b7b7023788dc61d473a3f94db27cdb391

Observation b07e51a7-6439-49d2-9d70-ff8bb04c9b86 · outbound

This paper cites Comment.\ Math.\ Helv.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Comment.\ Math.\ Helv

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.589647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.064412Z digest=sha256:7c0f68ed792a535a7dd4c71b843f3be85f779fbc871aaff30989370de0ec01fb

Observation e34d6f63-d27e-4a79-9761-79bb5927b2c9 · outbound

This paper cites Ann.\ Math.\ Qu\'ebec , volume=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Ann.\ Math.\ Qu\'ebec , volume=

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.580481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.067640Z digest=sha256:8fa973898b058f3cfd649f2ff80f0f72592a4f5db5ccb4b702231cd10e5dec40

Observation 3f9bd56d-0e6f-406c-9615-1996e9b438eb · outbound

This paper cites Duke Math.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Duke Math

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.572288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.070682Z digest=sha256:60a7f52b3ae1ab54b68ad300c7d083016af587e0fd14afc8a50ee3aa8cc3a66a

Observation 1556c355-420a-48be-8595-b0aa5c481525 · outbound

This paper cites Compos.\ Math.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Compos.\ Math

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.564671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.074319Z digest=sha256:50c94ee4ea69bd4ba4eec62784e11c30316acef2ed8bba60864ea5661737907d

Observation 115811b8-76e0-41e5-8439-2130208ab645 · outbound

This paper cites 2023 , eprint=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2023 , eprint=

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.555727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.077602Z digest=sha256:52875ed617142f596f94c9b0cbc14fc90e638bfe3538ad88f69c6c221c91fca5

Observation a350b094-3c46-4a5e-9140-1eb2590b29aa · outbound

This paper cites 2019 , eprint=.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 2019 , eprint=

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.547245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.080439Z digest=sha256:ad085406da719f33033e6e3c286925e7a66885a2d34d03b8574ab64855eddc59

Observation b87764d7-e283-402a-8cd7-b66fc246008f · outbound

This paper cites 1980 , PAGES =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields 1980 , PAGES =

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.538067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.083302Z digest=sha256:fbe61646252f09263b95c253ffaf8914afceaebf866325ab05d326a79635aed9

Observation b4111fcf-a5e6-46bf-9eff-ad4c4f7e837a · outbound

This paper cites Duke Mathematical Journal , volume =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields Duke Mathematical Journal , volume =

Reference 70

Resolution
verified exact
doi, observed 2026-08-16T00:28:08.118953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.086186Z digest=sha256:393d96def535ca815ed3958d0960ccb9aee89729b8145eaf86318bcd7c1d664b

Observation 2e43f0eb-d43b-49e6-b415-b72fe492f2bb · outbound

This paper cites S\'eminaire Bourbaki : ann\'ees 1964/65 1965/66, expos\'es 277-312 , series =.

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields S\'eminaire Bourbaki : ann\'ees 1964/65 1965/66, expos\'es 277-312 , series =

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:28:08.529053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.090406Z digest=sha256:8d02fb06ce9b8abf68d557e523631a37c3e5034992066a8a0464e7b12fec46c6

Pith citing papers

No inbound Pith citation observations are available.