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Paper Citation Record · LEDGER

Numerical study of refined conjectures of the BSD type

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.17703.

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

pith.paper-citation-record.v1
2412.17703 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:22:49.476430Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85885ae1-1250-4676-a23a-ec7ed398738c · outbound

This paper cites On the modularity of elliptic curves over Q : wild 3-adic exercises.

Numerical study of refined conjectures of the BSD type On the modularity of elliptic curves over Q : wild 3-adic exercises

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T05:22:49.385250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:22:49.385250Z digest=sha256:546a4e03b6dac8c3d6ea071a11d40e156edb03dbe9d3ee000a7519edfe4cb691

Observation 055d72ab-698b-4d4b-8283-08e9ca06a11c · outbound

This paper cites On the order of vanishing of S tickelberger elements of H ilbert modular forms.

Numerical study of refined conjectures of the BSD type On the order of vanishing of S tickelberger elements of H ilbert modular forms

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.778338Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.390002Z digest=sha256:f0400c7755fdb43739c4675dbd3b7017fd1a853e3bbaa32860a3787ac9b9db5f

Observation 4b6e312b-cb42-4446-bf7d-e1556707d4ed · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.764499Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.394452Z digest=sha256:28262e594bd5ae264d9e2034ecfc777b8b38711ad748544c1483f063fb2dba95

Observation 6569fe6c-2f74-46ae-b1e8-72204a7c6c69 · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.751651Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.398527Z digest=sha256:22c9cbffb30ff686345f11939d35fe5d035ac801fd4f1d7e261ef846f573bc9d

Observation e325d0a8-f0a4-4eae-b819-a5c6fcbafd40 · outbound

This paper cites Johncremona/ecdata: 2022-10-13, October 2022.

Numerical study of refined conjectures of the BSD type Johncremona/ecdata: 2022-10-13, October 2022

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.738343Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.402954Z digest=sha256:5266795ee8bf38bbef92152b7179756a1186a8d51ccbd187b6e2953154bf0230

Observation 0bea1f97-bc62-40f5-a8ac-6dea4357b284 · outbound

This paper cites A basis for augmentation quotients of finite abelian groups.

Numerical study of refined conjectures of the BSD type A basis for augmentation quotients of finite abelian groups

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.725164Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.407536Z digest=sha256:346bfdc828954c064e388a273a8678dc65420f2efc7b0d4bee5732ef92196709

Observation 7603fa71-12ac-4863-81cf-a353b70272b0 · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.710112Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.411920Z digest=sha256:140905aa82d33052b1ec138840bd62da7d9b8c94871a98b3e52c550024a68211

Observation 955a4276-e793-4906-ad2c-ce61497daf12 · outbound

This paper cites p -adic periods and modular symbols of elliptic curves of prime conductor.

Numerical study of refined conjectures of the BSD type p -adic periods and modular symbols of elliptic curves of prime conductor

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.696484Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.416000Z digest=sha256:1faf76db0802e8fa2c71e14d6c4db96b20bed172deb1dfbdac1daf83c41fec9e

Observation cbc4f659-ac55-4008-b312-97a9b2a8f1b2 · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.683300Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.420154Z digest=sha256:c768acc8e37802375c5e4220657877e25808f5aec132763d862d6acf3f07baa4

Observation 3ffa8679-4140-41da-9827-66318fba6b51 · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.668857Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.424729Z digest=sha256:94397fb6b2ca7ea85a1a0bd6c399f43233ad3b92e3d5aeb3a360fc87c5d33dd1

Observation cff8c6d8-cff9-4f4b-8cfa-4ed9610c3760 · outbound

This paper cites Arithmetic conjectures suggested by the statistical behavior of modular symbols.

Numerical study of refined conjectures of the BSD type Arithmetic conjectures suggested by the statistical behavior of modular symbols

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.654629Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.428743Z digest=sha256:922abd3bf54a662d7fad43227de52873b0326c7ca0277f926fb7cf9714f713ff

Observation 11fd8c3f-1b95-4f1f-8681-fcfd13e68c22 · outbound

This paper cites Mazur and J.

Numerical study of refined conjectures of the BSD type Mazur and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.639918Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.433139Z digest=sha256:75788d53760feb2b90a596c87d4a6d4e68b2b79c5dfdc4c39ed3c740edfc1e2c

Observation e7d9fc79-27bc-41c3-a76e-8c2589e5ecca · outbound

This paper cites Mazur, J.

Numerical study of refined conjectures of the BSD type Mazur, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.625207Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.438117Z digest=sha256:167df96fb874ba92f23156c886784380909e97e9862f09267bbbfb24dac8e243

Observation 0d4c80f5-8740-429b-b3bc-dd9e38d9ab08 · outbound

This paper cites Computations on an equation of the B irch and S winnerton- D yer type.

Numerical study of refined conjectures of the BSD type Computations on an equation of the B irch and S winnerton- D yer type

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.611129Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.442725Z digest=sha256:0e1ccfeb00c9d9abe7f146c0a8650729f7d5bfb6bf94e959be833a8ba275e57e

Observation 4eaadbb5-53c9-4d86-b793-8359aaa2eaae · outbound

This paper cites Portillo-Bobadilla.

Numerical study of refined conjectures of the BSD type Portillo-Bobadilla

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.595204Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.447058Z digest=sha256:a768f2894807ceccde52f09773a93c7372b2ace5210a73ee50c3ca3493c33e01

Observation e4c9d01e-6e3d-4443-ab77-f939057f975f · outbound

This paper cites Silverman.

Numerical study of refined conjectures of the BSD type Silverman

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.580519Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.451219Z digest=sha256:252635715d851073a86c4ac5c3089fdb703038468cd444b2f950824950e645d4

Observation be1a2496-88a6-4612-961a-23baa6726ea5 · outbound

This paper cites Silverman.

Numerical study of refined conjectures of the BSD type Silverman

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T05:22:49.455576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:22:49.455576Z digest=sha256:5b657086c591603de24cd3958aaf67740446bc276d9a87331f8de26de62f4c99

Observation 81342ad0-20fe-450e-9968-9fdfee90666c · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.557387Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.460253Z digest=sha256:e2d15aca6bcea7c7b7371747118e29b8d1489d7bd0802880bdee45ebf6a9dd57

Observation 667359b2-3f4d-4464-af5e-b9a341a03e27 · outbound

This paper cites an unresolved cited work.

Numerical study of refined conjectures of the BSD type Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:22:49.543680Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.464458Z digest=sha256:d3016382c9ca7737dbcde81593e4406b02604a32b0f19de2e9353c1ad758c639

Observation ae8a09da-3875-4ce6-8996-2519f3c2a12a · outbound

This paper cites Ring-theoretic properties of certain H ecke algebras.

Numerical study of refined conjectures of the BSD type Ring-theoretic properties of certain H ecke algebras

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T05:22:49.468502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:22:49.468502Z digest=sha256:276092e0fa87a170d4be63ac3fedfdfedf5c878ccbbf8d09766299711bae9e85

Observation 198a86c3-5043-4099-a9cd-ab40b01d2f4e · outbound

This paper cites Modular elliptic curves and F ermat's last theorem.

Numerical study of refined conjectures of the BSD type Modular elliptic curves and F ermat's last theorem

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T05:22:49.472669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:22:49.472669Z digest=sha256:f3b948f65d593515cfb9f9c86ddfb3575bcbbe9a7b27ef835b16172c6ca20d5d

Observation 3fce7cf3-b14e-4777-8ab8-38df111d9405 · outbound

This paper cites Numerical modular symbols for elliptic curves.

Numerical study of refined conjectures of the BSD type Numerical modular symbols for elliptic curves

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:22:49.510278Z

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.

source=arxiv_source observed=2026-08-11T05:22:49.476430Z digest=sha256:a1f310de29964602caa06812836750070f07acaa358623356f17086f6113273a

Pith citing papers

No inbound Pith citation observations are available.