Paper Citation Record · LEDGER

Positive characteristic analogues of finite algebraic numbers

As of 11 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2601.21209.

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

pith.paper-citation-record.v1
2601.21209 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:18:13.962151Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-07T15:15:15.353942Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T00:26:19.481987Z

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy0
unresolved39
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9f0dbf13-b55f-47a6-ab48-ad9555000884 · outbound

This paper cites 63 (2024), no.

Positive characteristic analogues of finite algebraic numbers 63 (2024), no

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.794245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbdf4ede-e276-4045-90f5-459c07a7e2c7 · outbound

This paper cites Anderson, t -motives , Duke Math.

Positive characteristic analogues of finite algebraic numbers Anderson, t -motives , Duke Math

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.799404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7c11cbd-c947-433d-8224-319d50a12f74 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.804132Z

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Observation f71f2322-168e-434d-8c32-d1e7fb88d17c · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.808503Z

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Unavailable: canonical work link unavailable.

Observation 363d9e0d-1ebf-43e8-a340-894f40c5379d · outbound

This paper cites C hapters 4--7 , english ed., Elements of Mathematics (Berlin), Springer-Verlag, Berlin, 2003.

Positive characteristic analogues of finite algebraic numbers C hapters 4--7 , english ed., Elements of Mathematics (Berlin), Springer-Verlag, Berlin, 2003

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.813465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 075fe525-05e6-4cf3-8111-5a8eb4b50093 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.817980Z

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Unavailable: canonical work link unavailable.

Observation 464f900e-0659-445f-8b06-f92234e6af85 · outbound

This paper cites Pi 11 (2023), Paper No.

Positive characteristic analogues of finite algebraic numbers Pi 11 (2023), Paper No

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.823013Z

Source-reported events for the cited work

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Observation 460b8b77-fa07-4831-96b5-1b9d44dd2dc8 · outbound

This paper cites D\'ecomposition effective de Jordan-Chevalley et ses retomb\'ees en enseignement.

Positive characteristic analogues of finite algebraic numbers D\'ecomposition effective de Jordan-Chevalley et ses retomb\'ees en enseignement

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.827232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a79cef5-4145-4439-8d02-19f8281b8507 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.831725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c95d9e20-ab0f-4af0-bec0-2442b8762cf7 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.836209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea1158f8-0834-4185-bb4d-2f5377eec064 · outbound

This paper cites Number Theory 232 (2022), 406--422.

Positive characteristic analogues of finite algebraic numbers Number Theory 232 (2022), 406--422

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.840684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e028e87-6296-4e34-828e-1e3aee0edfb3 · outbound

This paper cites 66 (2025), no.

Positive characteristic analogues of finite algebraic numbers 66 (2025), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.845415Z

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Unavailable: canonical work link unavailable.

Observation 6d01d33e-7d53-4ad4-98e3-7e4e44a27a03 · outbound

This paper cites Pi 12 (2024), Paper No.

Positive characteristic analogues of finite algebraic numbers Pi 12 (2024), Paper No

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.849791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5682978a-93a2-4a0a-8cea-a55ef10a692c · outbound

This paper cites A lg\`ebre et th\'eorie des nombres.

Positive characteristic analogues of finite algebraic numbers A lg\`ebre et th\'eorie des nombres

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.853928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c50ed8e-a7d2-41d6-a1d4-33034019cd4b · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.858071Z

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Unavailable: canonical work link unavailable.

Observation b3e067d2-2422-4a62-b3f2-fcabab6579d3 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.862309Z

Source-reported events for the cited work

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Observation 71ce078b-1f59-4814-8aef-3cadecf1c289 · outbound

This paper cites 771--808.

Positive characteristic analogues of finite algebraic numbers 771--808

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.866461Z

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Observation b37b56f3-5aa7-4cd5-abd1-e56dc8d95121 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.870960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e029ed32-4c4c-4b61-a65a-f436ade7cb68 · outbound

This paper cites 67 (2025), no.

Positive characteristic analogues of finite algebraic numbers 67 (2025), no

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.875329Z

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Unavailable: canonical work link unavailable.

Observation 23854c48-e367-4cd9-82f5-e4a09d77dff6 · outbound

This paper cites NT ] (2025), 2025.

Positive characteristic analogues of finite algebraic numbers NT ] (2025), 2025

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.879752Z

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Unavailable: canonical work link unavailable.

Observation 6f9455b7-d6c7-47d1-9201-39d5a29d7a37 · outbound

This paper cites Mahler, Eine arithmetische Eigenschaft der Taylor - Koeffizienten rationaler Funktionen.

Positive characteristic analogues of finite algebraic numbers Mahler, Eine arithmetische Eigenschaft der Taylor - Koeffizienten rationaler Funktionen

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.883746Z

Source-reported events for the cited work

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Observation 209e9d75-ed7a-4279-a3ec-4d5d05f6e174 · outbound

This paper cites Integer Seq.

Positive characteristic analogues of finite algebraic numbers Integer Seq

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.887806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd0cc174-6eeb-444a-ba12-1c6d19041c34 · outbound

This paper cites McCarthy, Algebraic extensions of fields, second ed., Dover Publications, Inc., New York, 1991.

Positive characteristic analogues of finite algebraic numbers McCarthy, Algebraic extensions of fields, second ed., Dover Publications, Inc., New York, 1991

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.892089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c802ca0b-59da-4554-ba8b-89fff83e9f5d · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.897177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2a8ea57-c58a-491d-940d-dc5ac7efa7ba · outbound

This paper cites Deriving two dualities simultaneously from a family of identities for multiple harmonic sums.

Positive characteristic analogues of finite algebraic numbers Deriving two dualities simultaneously from a family of identities for multiple harmonic sums

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.901484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d67cdb2f-06a4-49be-a338-c9d52c21997f · outbound

This paper cites 322, Springer-Verlag, Berlin, 1999, Translated from the 1992 German original and with a note by Norbert Schappacher, With a foreword by G.

Positive characteristic analogues of finite algebraic numbers 322, Springer-Verlag, Berlin, 1999, Translated from the 1992 German original and with a note by Norbert Schappacher, With a foreword by G

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.906047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48573f22-e2b7-4dc7-86ee-03dd2a5b558c · outbound

This paper cites Papanikolas, Tannakian duality for A nderson- D rinfeld motives and algebraic independence of C arlitz logarithms , Invent.

Positive characteristic analogues of finite algebraic numbers Papanikolas, Tannakian duality for A nderson- D rinfeld motives and algebraic independence of C arlitz logarithms , Invent

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.910749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d126944-51ce-4b45-9b6b-a5b48f554742 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.915569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83af5c3a-0d6f-4c42-ab5e-c26dd8692cbf · outbound

This paper cites 210, Springer-Verlag, New York, 2002.

Positive characteristic analogues of finite algebraic numbers 210, Springer-Verlag, New York, 2002

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.919762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dbd542a-992a-4903-b332-1d701bffb262 · outbound

This paper cites A choice-free absolute Galois group and Artin motives.

Positive characteristic analogues of finite algebraic numbers A choice-free absolute Galois group and Artin motives

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.923795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc65739a-13bf-4287-a19f-5ab713be26cb · outbound

This paper cites Number Theory 208 (2020), 59--71.

Positive characteristic analogues of finite algebraic numbers Number Theory 208 (2020), 59--71

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.928147Z

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Unavailable: canonical work link unavailable.

Observation d8744570-f412-4e0e-bf25-b0ace0c23f75 · outbound

This paper cites Number Theory 263 (2024), 335--365.

Positive characteristic analogues of finite algebraic numbers Number Theory 263 (2024), 335--365

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.932255Z

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Unavailable: canonical work link unavailable.

Observation 7d3c24cc-76e9-4a7e-ae92-d4454d43b935 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.936613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8da35c65-927e-4eb9-8326-0f05a5ca2a83 · outbound

This paper cites 67, Springer-Verlag, New York-Berlin, 1979, Translated from the French by Marvin Jay Greenberg.

Positive characteristic analogues of finite algebraic numbers 67, Springer-Verlag, New York-Berlin, 1979, Translated from the French by Marvin Jay Greenberg

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.940649Z

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Observation 13992f01-aed0-4996-90d3-452a4044c19e · outbound

This paper cites 11, CRC Press, Boca Raton, FL, 2012.

Positive characteristic analogues of finite algebraic numbers 11, CRC Press, Boca Raton, FL, 2012

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.945139Z

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Unavailable: canonical work link unavailable.

Observation 2c42afa6-e7f3-43f5-9ba1-3d311776baac · outbound

This paper cites Skolem, Ein Verfahren zur Behandlung gewisser exponentialer Gleichungen und diophantischer Gleichungen.

Positive characteristic analogues of finite algebraic numbers Skolem, Ein Verfahren zur Behandlung gewisser exponentialer Gleichungen und diophantischer Gleichungen

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.949693Z

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Unavailable: canonical work link unavailable.

Observation a8f294af-f4f9-4545-b74f-963d5eba8639 · outbound

This paper cites an unresolved cited work.

Positive characteristic analogues of finite algebraic numbers Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.953804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afbb7199-a9b6-45b1-bd51-580036d54b25 · outbound

This paper cites Number Theory 129 (2009), no.

Positive characteristic analogues of finite algebraic numbers Number Theory 129 (2009), no

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.957941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 510cc712-1134-4064-a9ee-2990a6375b7b · outbound

This paper cites Thakur, Function field arithmetic, World Scientific Publishing Co., Inc., River Edge, NJ, 2004.

Positive characteristic analogues of finite algebraic numbers Thakur, Function field arithmetic, World Scientific Publishing Co., Inc., River Edge, NJ, 2004

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T07:18:13.962151Z

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Pith citing papers

Observation 788839b3-94c7-4940-bc99-1cbf12084c76 · inbound

Some results on naive transcendence in the ring of integers modulo infinitely large primes cites this paper.

Some results on naive transcendence in the ring of integers modulo infinitely large primes Positive characteristic analogues of finite algebraic numbers

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:11.930145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.