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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 22 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 2026-08-22T06:32:14.747728+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=sha256:223148ea37f6b8bb1083e31f4f898b13d684b8fd9235e1bc94d9cbbe6b3e97e3

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:c3fba755751c85317161ed61ee24c52ce4c3b392a927dac6d2624ef782299e2f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.850266Z digest=sha256:9dfc6c47ebf79e33e7cfcf02e744bf7e792d202b9a5bc19d6eef7d5b4db04d3e

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=sha256:61eabf937166e2608eb2d94d9eb915cac51253961703ed6fa446288f93edf3cb

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.857818Z digest=sha256:058c11b596ca8e415fca5cdf3aac50242f08d44a7f1c3ba51f5ac24c18dbce24

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=sha256:59f93ef2747510fd2ca2f9aa7556631ca3308bc4edb462832dab6ce6b21c3d1d

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:b490efb3462fa5f16ea7f9ed27f9a2a9bbed51768e3e5a528e75ad649793ea93

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.867691Z digest=sha256:475e55d3e5ad64d2862de58444d2d6fb7bdfc59757466602094cd51b2339cabd

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:b3f6965cece1f26fe757727aa1b077c6bebd64abbf43b5db39d68537df4cab9c

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.875429Z digest=sha256:d956b5d1ab04128926dba8865de0bb05373bcbd75669a06346f62361abcc2983

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.880094Z digest=sha256:f1c66626f4bec95587f04d8f030e670fbb14aeb73d64f5ced95aa0e2d7a5b362

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:e959c98c86855e0d938d343dc1cabf0f6ff2debe89cd09e3b0e7526a6c1de874

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.887668Z digest=sha256:33e2ae9b393545c187502b07ecbac8692bfbcfab79657a8600ffd9fa83bc7c36

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.891590Z digest=sha256:0568a4c43dd02e8bd0a4206eb6f8cd90a79cdf3f6f9fddeee5125476a4334c86

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.895354Z digest=sha256:3ba5bc73c8e6ceb991bc8de17085b30e0b3903c59571b66d7b853bd0d5cf430d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.899253Z digest=sha256:f5e4f95eb06d24a697bb661b18b3d0914f5092fad79a98fe02c577e2af26e398

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.902826Z digest=sha256:cf5d34aca06889dc4d4bcb13c40ceb1d15aff884b81db08c70888faa09d6dc70

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.906471Z digest=sha256:ab2530420192ebd3091259ffa87d671e76a18439c0a9d3b4432f9209ae012543

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.909639Z digest=sha256:f14ba6caf9091c9e8b77c1a5a5d77e1e2027830e38ec30bdc5aacf735fdba256

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.912416Z digest=sha256:1d7eca5585388f1b8202e27c21e0c88a520a4c94484b985a41be9b14ecea19ef

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.915610Z digest=sha256:f2e8baff7545daeaa73f8df5951c9f05e5029d665577e204cdc41587acd3f450

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=sha256:84cec5d94ccf7b528a51f4875cd5ad74064d48dbf983b66990ef0e290b307505

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=sha256:8e5c2f9651380d61e22b6c5d718b46b7218923926c417814cce6b69c0006ac43

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=sha256:98bf5ef6fe25a1f4f44f12f648d9f860092f8feb765e8f62b1990e0a316dd3a2

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:c004d604574d2f39bb3ce34f2d7d0630d65c0f512e03e81918098ad35e8f9cdd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.934915Z digest=sha256:a835a61db8a136778ae1802e1d19e7dbae3142970f52ed1ae622fc4d8571e064

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:b0db176bc69ea61683dbc167be6f05a392ffc540cc92def2fb11c62449fabe0d

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:d1179054fbd69af45ee2106369d981bd0e3e05fb7c41986cc0b2f2d2f81f3815

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.946333Z digest=sha256:92995da77d563d831108a5a21fbf61465efa562057a42351cfbba54d5226ba53

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=sha256:3b45c3d956a964aee9d76da6cff39986350af859736495cbb1a2fc3c3e17a26f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.954007Z digest=sha256:8ce1fc46ee4dcb7ea0a539e7c83ea28634621b2d067aeb78c146a8d768d91acc

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.957550Z digest=sha256:f7c72da262df29d13b506980dc5785b6480bcebed54bcd7f06f044f55fae0702

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.961097Z digest=sha256:b0a6bb13bcbb62a8c8cf81de9da70cd9099b5cc8091bde9c3c687192157c15ec

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=sha256:8275a22064caccede3161b790d6b2bc12e11c6d128431e3329322509ab20f3e8

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:e39536815f3a0bfa9948a46a67db7fa56f7494e6b03281758728a538643b9211

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=sha256:56071e3ab509b7d460a6a72b5fa51a4cfe16c595001674ca44755fd5451b5874

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.975695Z digest=sha256:3d5f00d1f03cadb5144ffcb9a1755fda9e6e9a999c539a838a939ca17acb46e4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.979684Z digest=sha256:7287e9cfcabc8d1b5cf7a4aa1aaf992ffb961a14e285fc0c5efced900c5cc9f2

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=sha256:7cb8a8348ccb70dfbe755a769b1d63beced90656b0de90502e98884df0724962

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.986338Z digest=sha256:b3e6abc36e99a66309f142c1e48e6f3623603a7b81891724e5f30bdbdf32eec3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.990055Z digest=sha256:feb2cd85b49e2f16f5ef23d9bafab0aa6011821f9e822c603e7992b943148db9

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:cb55b09843838111b669868113a20f760793570c1f835b67a90135b234dacb18

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:07.997977Z digest=sha256:bc384d11ccefe063d9627e4e14898020f8695441446d417da329fa98379b419e

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:dec311a30be0d8222aab08a31afef219d21bce149f4cb85fb18ff5866f945ebb

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.005134Z digest=sha256:9e16e41d1f4d2dba6aa62db40cc2ac2777b95e1546e94d0a62de67043c4990ea

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=sha256:451ec6d6503cd44ae56aaa77fb2607074ac1f1e3b1fd729da608f1b39ff014a4

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=sha256:39db4aaaa979541cc7190e46db3b94f700abd1b542253d679d1494fb0fe19c8c

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:c6972704c8bd16bd4ca3b3834d9d1b9e1a5036a6b9feb77c15ac4050fb9737d1

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.020037Z digest=sha256:88674750d09424fec0ec1bad20d221ec0e8f4b0cb25df347e0212486db40641b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.023714Z digest=sha256:7064731ac5d90af744b1f46d26be848488e73e471f6a7ae0834316689245b6db

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.027152Z digest=sha256:06fd95eef82081ced49902c30aab2b82726819b149119d721d2346e6a75f23a5

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.030118Z digest=sha256:1daba3b4c01a793d3c37172f581081294f29da783e30f46318fd3b6657ce7a5c

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:dadf267eef7cafb4ce8df4d1ef28b9f37ab0db142ed4764a613b018309c40d93

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.035689Z digest=sha256:a1056729f6e530e30f3d092eaec5bc402fa46ed12ec7224bc1a2eefe73312f2e

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:a8c96c32e5d5e2997f7365277ab1411be2a0e154e598eb8794219e9b97ffbc5f

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:a8c08d92d46aab90f8810f29efdfbeba22904900978f30e7dd33849675530eab

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=sha256:3fbabb428f2809c0f16d4103a08f77335e197a7b107b5dcf4e20456d6e5ad15f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.047341Z digest=sha256:18fb1122ca75fff63a5a98168253c492103ab50155fe778b23ce050bc3dbe6f0

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.050442Z digest=sha256:d4da5013e443ae327dfa7f184995a04f72196f97455ae2b36b260900391944ff

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.053607Z digest=sha256:3d200eba71bec62b8212f2daa77c9a72b4a086d1e3199f40694db1488f65e046

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.056906Z digest=sha256:3b5e3813afcb0202b2e48e94c78995838aea10fb822ef7701052d17dce52d063

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.060088Z digest=sha256:ad0aa6d2c8cd435bea61aa5d093551e2a1984392af519c206a1c71ba52993594

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.064412Z digest=sha256:42e80e9bfde8b44943c9a2064a2bcb38584239c36e0db0a40bc12d2988e7ec1c

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.067640Z digest=sha256:288be8d05196fba917ec460417ea8278b1c24f0b2226751aaef7cc515f064279

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.070682Z digest=sha256:48cb3813028cef714d6ed418c293fb008c29cad6a7aacd366b32c9ff2a9fdf71

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.074319Z digest=sha256:f5ff22ed06c90a5a1caafe8d426d77553cdb69324161756fadc090f67ef25eca

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.077602Z digest=sha256:2429f1ec031fe869384f1b4d80df678c21c3cf3def325f6282d265639d70a67e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.080439Z digest=sha256:5b6c9cd2cb85f99fe2b8d24ebab0f3c906327f5962bf1d9f03f6ae2b1d1ce91a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.083302Z digest=sha256:2f6d5fccc72995ff666bf4e30cc901c3cfde91f41afa2d7f2b024820acfaefa7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.086186Z digest=sha256:9905e0ca1b4ecfa8ac389b7d6edeeb68e42a93b97a70512a1a3683458d6c7e9e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:28:08.090406Z digest=sha256:82876d6cb8cfb96fd533f946b45f9246b99d85effacac809e4354a6c34f1322c

Pith citing papers

No inbound Pith citation observations are available.