Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:17:14.832949Z
Paper Citation Record · LEDGER
A proof of Perrin-Riou's Heegner point main conjecture
As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.09512.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
35 of 35 outbound references displayed
- verified exact2
- verified fuzzy22
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f6296c88-e64f-4708-937b-5dbe86028af5 · outbound
This paper cites 4, 843--939.
A proof of Perrin-Riou's Heegner point main conjecture 4, 843--939
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.301641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 05cb97be-2272-4069-af93-3b778d9fbb9b · outbound
This paper cites 1, 1--64.
A proof of Perrin-Riou's Heegner point main conjecture 1, 1--64
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.287931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a0e1f497-40c2-44a0-9055-3ca7946944f7 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:15.276790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a684f10f-f9af-40de-8f81-744530d6f9ce · outbound
This paper cites 99 (1995), no.
A proof of Perrin-Riou's Heegner point main conjecture 99 (1995), no
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.265512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c9d79930-cc50-4a30-99ba-418bbe355164 · outbound
This paper cites 1, 156--180.
A proof of Perrin-Riou's Heegner point main conjecture 1, 156--180
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.254355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00e48c35-f562-4a4c-afd8-33526c2fa2cc · outbound
This paper cites 5, 863--897.
A proof of Perrin-Riou's Heegner point main conjecture 5, 863--897
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.242628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 99979604-5800-4bf7-b775-e2087fbe9707 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:15.227641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5b11b08a-8cd1-4e2f-b94c-cc9302c0f4ae · outbound
This paper cites 10, 2523--2572.
A proof of Perrin-Riou's Heegner point main conjecture 10, 2523--2572
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.214355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bcb04de9-1178-4726-8750-4f53dc0b1bf1 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:15.201980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 335240b9-e7de-4041-a446-0c0a89e3a80e · outbound
This paper cites 3, 356--416.
A proof of Perrin-Riou's Heegner point main conjecture 3, 356--416
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.188562Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 399302ac-3e33-4710-92bf-f031e766d9e5 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:15.175440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 70145712-b3d4-48bb-97ba-b3fca644baa4 · outbound
This paper cites 2, 225--320.
A proof of Perrin-Riou's Heegner point main conjecture 2, 225--320
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.161054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c394efbf-2950-4918-80a6-5fbe94410bad · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:15.148870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0b991704-727c-41e3-b17e-e57803089de9 · outbound
This paper cites 6, 1439--1472.
A proof of Perrin-Riou's Heegner point main conjecture 6, 1439--1472
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.135906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a03ab9b2-d679-4afc-af2a-dad4b5883cad · outbound
This paper cites 1, 1--45.
A proof of Perrin-Riou's Heegner point main conjecture 1, 1--45
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.122411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 550b65cb-5a47-4449-a4eb-3fc0915dbb94 · outbound
This paper cites Reine Angew.
A proof of Perrin-Riou's Heegner point main conjecture Reine Angew
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.110775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a30fe9e-c9b4-46d7-bb88-51acf6298cbf · outbound
This paper cites 3, 369--434.
A proof of Perrin-Riou's Heegner point main conjecture 3, 369--434
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.098183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b48f0d9-eb0d-467c-a464-129b0b8f1e90 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:17:14.765041Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55c0fb08-a9f4-4e78-a21b-da69c8f4342a · outbound
This paper cites S eriya M atematicheskaya 52 (1988), no.
A proof of Perrin-Riou's Heegner point main conjecture S eriya M atematicheskaya 52 (1988), no
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.080339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a32e335-f332-4dae-b3d3-7c6d41b1408c · outbound
This paper cites 2, 253--259.
A proof of Perrin-Riou's Heegner point main conjecture 2, 253--259
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.069345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 78bc244d-7179-4da7-82fe-f0f49eff7bfc · outbound
This paper cites 1479, Springer, 1991, Proceedings of the US-USSR Symposium held in Chicago, June 20--July 14, 1989, pp.
A proof of Perrin-Riou's Heegner point main conjecture 1479, Springer, 1991, Proceedings of the US-USSR Symposium held in Chicago, June 20--July 14, 1989, pp
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.056475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bad8d938-1d8d-4263-b2b6-7505d1a6aced · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:15.044588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9bbc0aa7-f457-4ce6-a7be-4fc8ffc3b3c6 · outbound
This paper cites Taylor, eds.), London Mathematical Society Lecture Note Series, vol.
A proof of Perrin-Riou's Heegner point main conjecture Taylor, eds.), London Mathematical Society Lecture Note Series, vol
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.031653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1d6fbfad-4840-4a59-a6ea-20790006fb25 · outbound
This paper cites 168, American M athematical S ociety, March 2004.
A proof of Perrin-Riou's Heegner point main conjecture 168, American M athematical S ociety, March 2004
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.018612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f862eaf-7012-457a-818e-d5d925f6c08d · outbound
This paper cites 4, 399--456.
A proof of Perrin-Riou's Heegner point main conjecture 4, 399--456
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:15.004110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f1ac10af-81d5-4f86-bc72-135d64617dd5 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:14.990117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a9d672b1-13e1-4f84-a4af-d0edcf249353 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:14.978090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2ae2bef0-fe7d-4fa3-99af-e065b8b37481 · outbound
This paper cites 1, 1--277.
A proof of Perrin-Riou's Heegner point main conjecture 1, 1--277
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:14.964092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2746555f-53fd-4a9f-ba2d-34e5a2988e5c · outbound
This paper cites Indivisibility of Heegner points in the multiplicative case.
A proof of Perrin-Riou's Heegner point main conjecture Indivisibility of Heegner points in the multiplicative case
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:17:14.808357Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cc8d21b-cb1c-4bd7-ab1c-d0404dbd11a2 · outbound
This paper cites Heegner Point Kolyvagin System and Iwasawa Main Conjecture.
A proof of Perrin-Riou's Heegner point main conjecture Heegner Point Kolyvagin System and Iwasawa Main Conjecture
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:17:14.885822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5407122c-5133-4ecf-bbea-9b088003dac6 · outbound
This paper cites Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions.
A proof of Perrin-Riou's Heegner point main conjecture Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:17:14.869843Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 18907b31-17b8-4575-b304-94045abd73e3 · outbound
This paper cites 184, Princeton U niversity P ress, 2013.
A proof of Perrin-Riou's Heegner point main conjecture 184, Princeton U niversity P ress, 2013
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:14.951896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3cfada39-7083-48e4-b579-431fad6aa122 · outbound
This paper cites an unresolved cited work.
A proof of Perrin-Riou's Heegner point main conjecture Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:14.938558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation abbd92c9-84e7-49dc-9a20-5010885530ac · outbound
This paper cites 2, 183--290.
A proof of Perrin-Riou's Heegner point main conjecture 2, 183--290
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:14.923838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c9acf2c4-98e6-4301-bd9b-3a296aff38bb · outbound
This paper cites 2, 191--253.
A proof of Perrin-Riou's Heegner point main conjecture 2, 191--253
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:14.910768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.