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Paper Citation Record · LEDGER

Hypergeometric Distributions and Joint Families of Elliptic Curves

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2501.13330.

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

pith.paper-citation-record.v1
2501.13330 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:24:15.757090Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2213caae-22ff-4ca8-b575-66973d1ff69e · outbound

This paper cites The Explicit Hypergeometric-Modularity Method I.

Hypergeometric Distributions and Joint Families of Elliptic Curves The Explicit Hypergeometric-Modularity Method I

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T16:24:15.698579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation aba45ce1-d49c-486f-aea4-4e87770da594 · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.889471Z

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.

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Observation e85e989c-1b3c-4d32-a156-6e262852cd6e · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.850873Z

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=pdf_text observed=2026-08-10T16:24:15.752704Z digest=sha256:3d7a18b7081d902aa0792d8d8749a42e2c06fa10da196994b274150016aadd54

Observation 858ee766-2ad5-4e17-8b49-260848bf973f · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.928093Z

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=pdf_text observed=2026-08-10T16:24:15.727307Z digest=sha256:f8961df93bbe39bd4a8b3d3ff1f3388c0bf88759d5d069c5aea8058c03548022

Observation c067b709-6ca6-4353-955a-536e9007b1e4 · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.864836Z

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=pdf_text observed=2026-08-10T16:24:15.748717Z digest=sha256:9bb0fbb989c0f8efc22e97cb88b15dbfd7ef3cc2276b91fd60035b9efafbe812

Observation 7fe253d9-b092-4800-af11-8037eccb269b · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.902619Z

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=pdf_text observed=2026-08-10T16:24:15.736597Z digest=sha256:159901ae059dda5b8619360298bfc3733e9f5fb88b42c5416304f7dbf1dfbdbb

Observation 55376705-722d-4135-b6e6-d97a71863dee · outbound

This paper cites Erd´ elyi, W.

Hypergeometric Distributions and Joint Families of Elliptic Curves Erd´ elyi, W

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:24:15.973863Z

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=pdf_text observed=2026-08-10T16:24:15.705296Z digest=sha256:937738e4e5fb74ff82a362c46a0cc8a8753222175b102a57cfcff40b07b0225b

Observation ef653d6e-7b69-45d0-91c1-d4d4f1f62abd · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 1980

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.877297Z

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=pdf_text observed=2026-08-10T16:24:15.744902Z digest=sha256:e5c33eea8dd91c3971e485c0c22258d4a98bfd7891393f96b6825e5ee9a3a1f8

Observation a512b528-b71e-40fb-8d43-22f27b5a8de4 · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 1990

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.938648Z

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=pdf_text observed=2026-08-10T16:24:15.723371Z digest=sha256:5e64e2273bae64e6ad621265482e197033bddb07e479bac5f781d4850fea331b

Observation 899fe106-bc67-40f3-927a-776c1cc097e9 · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 1999

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.917211Z

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=pdf_text observed=2026-08-10T16:24:15.732535Z digest=sha256:7fd26424e281cf13974ac3ec74a337838f5330e2f7d2a43c86bd76abfb3508be

Observation cab8f95f-d469-4e2a-a77b-058127cee96c · outbound

This paper cites Methods Appl.

Hypergeometric Distributions and Joint Families of Elliptic Curves Methods Appl

Reference 2015

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:24:15.837674Z

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=pdf_text observed=2026-08-10T16:24:15.757090Z digest=sha256:08c0876c5d1d57daccc8d8576c75a0824dccb5cb52c429b00bb53c7e0933d8ed

Observation f6f4cdb5-e68f-4e92-b650-16a6cd91db0b · outbound

This paper cites an unresolved cited work.

Hypergeometric Distributions and Joint Families of Elliptic Curves Unresolved cited work

Reference 2019

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:24:15.961715Z

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=pdf_text observed=2026-08-10T16:24:15.709700Z digest=sha256:4cfb50be17649673f3e3d1669965842cae8fb9b8db921cd794197b50173368e4

Observation 8abb2d2c-4f20-44d9-916e-c523fd747441 · outbound

This paper cites Volume I.

Hypergeometric Distributions and Joint Families of Elliptic Curves Volume I

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:24:15.950213Z

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=pdf_text observed=2026-08-10T16:24:15.718868Z digest=sha256:3e18d9009ed6fd0716a3ba40a49d3fc906fd7a2ffb1905475b4a424e42392672

Observation cae22370-ee21-4cfa-9c01-41edc8f77bef · outbound

This paper cites Traces of Hecke Operators via Hypergeometric Character Sums.

Hypergeometric Distributions and Joint Families of Elliptic Curves Traces of Hecke Operators via Hypergeometric Character Sums

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-10T16:24:15.803381Z

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=pdf_text observed=2026-08-10T16:24:15.714282Z digest=sha256:968cdb8451ebc4398d8f517f3e661ff0c43bc768020f16c23f3c25d620bafbb0

Pith citing papers

No inbound Pith citation observations are available.