Paper Citation Record · LEDGER

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups

As of 12 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2602.19813.

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

pith.paper-citation-record.v1
2602.19813 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:41:46.311469Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

45 of 45 outbound references displayed

verified exact22
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87a6a73f-6024-439c-b582-7ae9e6da58d4 · outbound

This paper cites Agashe and W.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Agashe and W

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:42.468872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bf9e213-d4cb-4613-8d21-5b281331bc39 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-02T21:43:27.479278Z

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 0b247dbd-10b8-43d8-b2d8-f17179836090 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:42.799623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbbf7d87-fde5-43b0-876e-4f52cfc601ee · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-02T21:43:27.397933Z

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 3fbf519d-d8dd-4e0e-beb5-5b65415efe3a · outbound

This paper cites Bosma , J.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Bosma , J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:43.198816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18330eaf-3666-4ec9-8418-b4def616f407 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-02T21:43:27.317777Z

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 85a02da7-a2a5-4029-9ebf-cd6b363b59d0 · outbound

This paper cites Bruin , E.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Bruin , E

Reference 7

Resolution: verified exact; doi, observed 2026-08-02T21:43:27.226679Z

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 9a88ac16-5dae-4d15-a485-2211621684ef · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:43.528463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bfe735f-f3e1-44c5-8825-3dac547530dd · outbound

This paper cites Costa, N.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Costa, N

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:43.637484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a4690f8-3a03-40f6-b97d-a25ddbe376fc · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:43.742833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 633ac00c-5916-473b-b573-ac36e049562a · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-02T21:43:27.154163Z

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 26c93bad-4542-4604-9cb7-33b96dd4be79 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:43.915979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 961d6a57-0611-40dc-ad6c-6336a576ea9f · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:44.040325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9baac707-438d-4f75-bd0a-68c1b902caf5 · outbound

This paper cites Costa, N.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Costa, N

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:44.159671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf7597ec-e6f1-4bdc-8348-d45ebd7a460c · outbound

This paper cites Conrad and W.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Conrad and W

Reference 15

Resolution: verified exact; doi, observed 2026-08-02T21:43:27.065235Z

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 3b45e1ca-7646-4c7f-86a0-e2b785c6d965 · outbound

This paper cites Dokchitser and C.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Dokchitser and C

Reference 16

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.986757Z

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 66bb277b-1566-4863-9687-462b87f56747 · outbound

This paper cites Dokchitser, V.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Dokchitser, V

Reference 17

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.903235Z

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 3ab4ebdc-17d9-4186-8b7d-ecd2c29c5b67 · outbound

This paper cites Dokchitser and G.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Dokchitser and G

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:44.472634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 563a9dfa-0c25-4892-a70f-f39de86b1ce4 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.828157Z

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 b421af9b-ecf1-47c0-b109-5bb2e66c320b · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.768319Z

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 218c461e-1a41-4d7c-9875-d4b64ad9f770 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.696276Z

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 00716bd8-59ca-4f9f-8ef1-1dc28d734afd · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.637736Z

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 e3ff3ff0-081b-4d19-984c-d68eb1e6a8d3 · outbound

This paper cites Frengley , https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1340/ Explicit 7 -torsion in the T ate-- S hafarevich groups of genus 2 J acobians , J.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Frengley , https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1340/ Explicit 7 -torsion in the T ate-- S hafarevich groups of genus 2 J acobians , J

Reference 23

Resolution: malformed identifier; doi_truncated, observed 2026-08-02T21:43:26.466068Z

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 6e4cc93d-c472-4d4a-9866-96a29857c781 · outbound

This paper cites Gehrunger , Worksheets for `` T he classification of the stable marked reduction of genus 2 curves in residue characteristic 2'' , https://doi.org/10.3929/ethz-b-000743349.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Gehrunger , Worksheets for `` T he classification of the stable marked reduction of genus 2 curves in residue characteristic 2'' , https://doi.org/10.3929/ethz-b-000743349

Reference 24

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.353705Z

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 cc217c6e-c1df-49cd-84b3-bb4e09fea2a4 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-08-02T21:43:26.218383Z

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 a61732ed-d658-4285-bfe8-1bcd2ec3311c · outbound

This paper cites Frengley and D.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Frengley and D

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.135295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce1a1e0f-2a8a-48e3-bdb0-bf7b4322be16 · outbound

This paper cites Kraus and J.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Kraus and J

Reference 27

Resolution: verified exact; doi, observed 2026-08-02T21:43:26.083696Z

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 6f74a0d7-5327-4ded-ad7c-4af5a4c0d878 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.964208Z

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 e0645eff-f526-4d4c-a7ec-ad6a1e7b47b0 · outbound

This paper cites Keller and M.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Keller and M

Reference 29

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.818717Z

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 d2c0cc7e-253d-422d-9a8c-7e19ebd6a2cb · outbound

This paper cites Khare and J.-P.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Khare and J.-P

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.464086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c01bd608-52d9-40e5-b68c-021c2eb30ce2 · outbound

This paper cites II , Invent.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups II , Invent

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.510280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aebfcd5a-71df-42b0-b157-51d2b4eafa92 · outbound

This paper cites Liu, https://doi.org/10.1093/oso/9780198502845.001.0001 Algebraic geometry and arithmetic curves , Oxford Graduate Texts in Mathematics, vol.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Liu, https://doi.org/10.1093/oso/9780198502845.001.0001 Algebraic geometry and arithmetic curves , Oxford Graduate Texts in Mathematics, vol

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.631083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21356d23-11ca-4a1a-ae3f-f2e024b89fac · outbound

This paper cites Liu , Desingularization of double covers of regular surfaces , arXiv e-prints (2025), arXiv:2504.16808.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Liu , Desingularization of double covers of regular surfaces , arXiv e-prints (2025), arXiv:2504.16808

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.683447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad074394-244d-4d0d-ab93-5a759e497158 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.729396Z

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 0561f8ee-a168-4cc6-bb91-72525d17d532 · outbound

This paper cites Miyake, https://doi.org/10.1007/3-540-29593-3 Modular forms , corrected 2nd printing ed., Springer Monogr.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Miyake, https://doi.org/10.1007/3-540-29593-3 Modular forms , corrected 2nd printing ed., Springer Monogr

Reference 35

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.590609Z

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 36f46a52-be27-443c-8ad5-c99dbcda7f8d · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.491994Z

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 ce1b686a-7c4f-4f8e-8b3f-d311b1552d5f · outbound

This paper cites Poonen , E.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Poonen , E

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.872196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 348e97c7-8d7d-4ac1-a3cb-6c92dfafcb56 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 38

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.378128Z

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 16209b3a-f8a7-4d9f-9b49-16b39e557c45 · outbound

This paper cites Shimura, https://doi.org/10.2969/jmsj/02530523 On the factors of the J acobian variety of a modular function field , J.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Shimura, https://doi.org/10.2969/jmsj/02530523 On the factors of the J acobian variety of a modular function field , J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:45.980930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f84ff2dc-bb37-4b74-acce-928c2e9178b7 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:46.019563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07827414-17ef-419e-9da4-45965bcad383 · outbound

This paper cites Stein , https://doi.org/10.1090/gsm/079 Modular forms, a computational approach , Graduate Studies in Mathematics, vol.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Stein , https://doi.org/10.1090/gsm/079 Modular forms, a computational approach , Graduate Studies in Mathematics, vol

Reference 41

Resolution: verified exact; doi, observed 2026-08-02T21:43:25.133344Z

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 51fc0171-a290-41cf-8cc9-6335e1a31c2e · outbound

This paper cites Stoll , Two simple 2 -dimensional abelian varieties defined over Q with M ordell- W eil group of rank at least 19 , C.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Stoll , Two simple 2 -dimensional abelian varieties defined over Q with M ordell- W eil group of rank at least 19 , C

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:46.085536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d27fb4e6-f374-4132-a6ba-0a1ddb2ca660 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:46.131109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d1aacdf-7d40-4e45-816d-a76d306aef43 · outbound

This paper cites Bordeaux, http://pari.math.u-bordeaux.fr/ PARI/GP version 2.15.4 , 2023, available from http://pari.math.u-bordeaux.fr/.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Bordeaux, http://pari.math.u-bordeaux.fr/ PARI/GP version 2.15.4 , 2023, available from http://pari.math.u-bordeaux.fr/

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:46.230376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34a2ba7c-30bb-4d6f-ad75-530fb7317fc0 · outbound

This paper cites an unresolved cited work.

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-02T21:41:46.311469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.