Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T23:47:37.694026Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2412.02303.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T23:47:37.694026Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8b2753c0-ad9b-4d67-93ae-d26c4775e4bd · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b85852b8-f20a-49fc-beb2-3de698080e84 · outbound
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40cbec4a-701c-4fe1-a942-8405dba8a50b · outbound
Kolyvagin's conjecture for modular forms Bertolini and H
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 56f14b11-ee3e-4e07-8e0d-52bce9ce3540 · outbound
Kolyvagin's conjecture for modular forms Bertolini, M
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2da7759c-2ce4-43b9-8c13-c68246a11aac · outbound
Kolyvagin's conjecture for modular forms Besser, CM cycles over Shimura curves , J
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b3707127-6419-4d4e-adb9-cd7fbefacf5f · outbound
Kolyvagin's conjecture for modular forms Bloch, Height pairings for algebraic cycles , J
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eb3fda46-3d3f-4974-9438-96e100a29ae4 · outbound
Kolyvagin's conjecture for modular forms Bloch and K
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 25df8104-9005-4db9-b130-e96e34161cdc · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f9e50790-4475-4217-9bb5-455c05c421ec · outbound
Kolyvagin's conjecture for modular forms Carayol, Sur les représentations l-adiques associées aux formes modulaires de Hilbert , Ann
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a5e554e5-257e-40c2-972d-898215e8272c · outbound
Kolyvagin's conjecture for modular forms Math., vol
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22a243ac-2dcf-426f-81e9-b64b8c714f9c · outbound
Kolyvagin's conjecture for modular forms Castella, On the p-part of the Birch–Swinnerton-Dyer formula for multiplica tive primes, Camb
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 63bc364c-e021-4e4a-b083-f78edca88bd7 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f83d54ba-7183-4afb-aab8-60fa657cd455 · outbound
Kolyvagin's conjecture for modular forms Castella and M.-L
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e3743f52-2a60-491c-8085-30dc8dfbf412 · outbound
Kolyvagin's conjecture for modular forms Castella, C.-H
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b25b3b65-96ec-418b-8e4f-f64b911feba6 · outbound
Kolyvagin's conjecture for modular forms Castella and M
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1400ed1e-fdd3-4dac-b25c-11c3c24cc585 · outbound
Kolyvagin's conjecture for modular forms Chida, Selmer groups and central values of L-functions for modular forms , Ann
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e93e2513-f667-4ff4-9523-3e8880b48d7f · outbound
Kolyvagin's conjecture for modular forms Chida and M.-L
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a79768bf-cf46-4dc4-83e9-1e45fc4734a1 · outbound
Kolyvagin's conjecture for modular forms Reine Angew
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c14d821b-55ab-4ef9-96fe-32eaf897f269 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 378785f4-a22a-42c0-865f-cdcec9084456 · outbound
Kolyvagin's conjecture for modular forms Deligne and J.-P
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation acc76193-68f4-4c8a-ac5d-cbdcef9625cf · outbound
Kolyvagin's conjecture for modular forms Elias and C
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 88d819ac-f8b9-4669-95b4-5a972fe701f1 · outbound
Kolyvagin's conjecture for modular forms Fontaine, Valeurs spéciales des fonctions L des motifs , no
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ade89f0-f490-4b4a-9b13-5ae2db733fcd · outbound
Kolyvagin's conjecture for modular forms Fontaine and B
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f6a2fb4e-d198-43c6-8207-26526359b123 · outbound
Kolyvagin's conjecture for modular forms Gillet and C
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 52b7421b-61a7-4526-8a75-577ac74c3415 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a73083b1-0a65-48c2-afa2-9a9502272f76 · outbound
Kolyvagin's conjecture for modular forms Hida, Hilbert modular forms and Iwasawa theory , Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, Oxford, 2006
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e5c1559d-a561-4d31-b124-fdf588ee8fb5 · outbound
Kolyvagin's conjecture for modular forms Howard, Central derivatives of L-functions in Hida families , Math
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 622ab4af-4fe1-4c6d-83e9-3dadb3cc0cc1 · outbound
Kolyvagin's conjecture for modular forms Hung, On the non-vanishing mod ℓ of central L-values with anticyclotomic twists for Hilbert modular forms, J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7352240e-1f43-4e92-962f-e93652ff8351 · outbound
Kolyvagin's conjecture for modular forms Jetchev, C
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b5065c21-9ae0-4458-a40a-0421143924aa · outbound
Kolyvagin's conjecture for modular forms Kato, Iwasawa theory and p-adic Hodge theory , Kodai Math
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c92159af-3108-4cf3-98c6-4928e5af52eb · outbound
Kolyvagin's conjecture for modular forms Kim and M
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 97566687-cd20-4027-ab74-a91b420e96af · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d3fc03f8-dfb2-45ef-bbde-bf73cc434ec7 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0626377a-b15b-4eca-b667-281f74c13126 · outbound
Kolyvagin's conjecture for modular forms Longo, On the Birch and Swinnerton-Dyer conjecture for modular ell iptic curves over totally real fields , Ann
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4fbce8ac-93d3-48ec-99c2-822d6ee5a700 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a9f706d2-084b-4287-abe8-3b52bb52f285 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9c5c426c-4403-49bd-9cbe-c37f95e4729b · outbound
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d81d7a3f-3e66-435f-850c-80993c84f539 · outbound
Kolyvagin's conjecture for modular forms The Tamagawa number conjecture and Kolyvagin's conjecture for motives of modular forms
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6fa127c0-b1f4-496e-a28b-3d4149ccd696 · outbound
Kolyvagin's conjecture for modular forms Number Theory 130 (2010), no
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6f543c26-8b5a-49e5-9dd7-66ac3ebfa58d · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 25de0714-ac00-4e88-b969-16c32a2eb06f · outbound
Kolyvagin's conjecture for modular forms Masoero, On the structure of Selmer and Shafarevich–Tate groups of ev en weight modular forms , Trans
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation caccd9b3-f404-4823-92da-5ad7f4629eb8 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f8b5e4aa-a5d0-46a8-b141-c0dd06c79023 · outbound
Kolyvagin's conjecture for modular forms Nekovář, Kolyvagin ’s method for Chow groups of Kuga–Sato varieties , Invent
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9db7ec11-6c49-43e6-bed4-8dc0c4ec9ee9 · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad379fb0-6972-4c5e-9edb-839576ab144b · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 38233871-ae37-44e8-bbed-2844430d2be0 · outbound
Kolyvagin's conjecture for modular forms 310, viii+559
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fc0e496d-5302-48c3-854f-4d4ae7478a1f · outbound
Kolyvagin's conjecture for modular forms Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c0fce0b7-ac19-40d6-a807-767aff30c900 · outbound
Kolyvagin's conjecture for modular forms IV , Compos
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation be59fde9-ef93-4883-9a5e-835c0151a1c0 · outbound
Kolyvagin's conjecture for modular forms Nekovář and A
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d5f7dd78-6900-4939-b2e5-f35c96c32ed9 · outbound
Kolyvagin's conjecture for modular forms Nekovář, Level raising and anticyclotomic Selmer groups for Hilbert modular forms of weight two , Canad
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6c82cb97-4d82-4289-b5c4-7b097c3f4814 · outbound
Kolyvagin's conjecture for modular forms Ota, Big Heegner points and generalized Heegner cycles , J
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 73fd4386-9192-4452-a71d-ce82ebee6952 · outbound
Kolyvagin's conjecture for modular forms Skinner and E
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a7873f0f-c336-47b1-a921-a2dbf4c93cbe · outbound
Kolyvagin's conjecture for modular forms Indivisibility of Heegner points in the multiplicative case
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 86b2ceeb-ce3b-4ab5-ae6e-86040f422a9c · outbound
Kolyvagin's conjecture for modular forms Waldspurger, Sur les valeurs de certaines fonctions L automorphes en leur centre de symétrie , Com- pos
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f87c78b9-db76-4163-8f36-fe3e6e9b0781 · outbound
Kolyvagin's conjecture for modular forms Wang, Indivisibility of Heegner cycles over Shimura curves and Se lmer groups , J
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d51e02bc-8d8f-435f-9780-e37b47e36f48 · outbound
Kolyvagin's conjecture for modular forms Zhang, Selmer groups and the indivisibility of Heegner points , Camb
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.