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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.752704Z digest=sha256:08eaeea911edc44c2e93ae9ce25d0fbf74ea7d3737ccd071823f5cdc5cda836c

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.748717Z digest=sha256:5d7881ef044429c3dd7596b6b2bf705ea8ef531ae1e6f463e6916de045e3d21d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.736597Z digest=sha256:d9e069f4c1899fc27380aaf3026f371eddc11fa0b3eff723a282fe48befeb2a2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.705296Z digest=sha256:a414047a14043ece232f1de6294205e5216425cbb650e590db2f92a52e17c0c5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.744902Z digest=sha256:07412cf3a6bb34506cfef8bd6ad3c106d530dab0671662ac99865426926a008d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.723371Z digest=sha256:5370c35a421862c20f059f7c72e0236688fcf30c8604533298d2c1804641d726

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.732535Z digest=sha256:4e048adc32a444bf9f61f1cdc357ddafa661b0370bf56e04aafcf9cda96c6b26

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.757090Z digest=sha256:298cec90e7e59e78b27910e8a68b47bb7ec101f81eb5dc70ee78c7d21615941f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.709700Z digest=sha256:c72709b6fe2a70b670e0a5c141cbef18803e9042ca02ab2d66fd3754a4dd608a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.718868Z digest=sha256:27bcf05d80cbc4811eb41985d2483bd96fe58d2b16d6924dd7658f5da196cf88

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T16:24:15.714282Z digest=sha256:5d9c9dc8de642a83344061b07451e608c6af3cb93618876b843ccfeac3eb7a17

Pith citing papers

No inbound Pith citation observations are available.