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Paper Citation Record · LEDGER

On non-holonomicity, transcendence and $p$-adic valuations

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.16517.

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

pith.paper-citation-record.v1
2412.16517 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:41:55.028144Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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 exact8
  • verified fuzzy7
  • unresolved5
  • parse uncertain0
  • malformed identifier2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f08501cf-af1e-4a42-a6dc-edd810295530 · outbound

This paper cites Automatic sequences.

On non-holonomicity, transcendence and $p$-adic valuations Automatic sequences

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation cf4b3009-9b2b-4dc9-a3c9-d8783a589c30 · outbound

This paper cites Funktionentheorie.

On non-holonomicity, transcendence and $p$-adic valuations Funktionentheorie

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 58cd885f-5ec8-4f9a-ac54-2b5d6715f2f2 · outbound

This paper cites ¨Uber Potenzreihen mit ganzzahligen Koeffizienten.

On non-holonomicity, transcendence and $p$-adic valuations ¨Uber Potenzreihen mit ganzzahligen Koeffizienten

Reference 3

Resolution
verified exact
doi, observed 2026-08-11T10:41:55.133090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fbdb3de8-d4fb-44dd-b8b5-893eaa90e8ab · outbound

This paper cites Christol, T.

On non-holonomicity, transcendence and $p$-adic valuations Christol, T

Reference 4

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b27cf709-30ff-4116-bff6-0759d306bb92 · outbound

This paper cites Algebraic power series a nd diagonals.

On non-holonomicity, transcendence and $p$-adic valuations Algebraic power series a nd diagonals

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c8ccd247-7ad7-4e1e-9d33-373cf814a690 · outbound

This paper cites On t he non-holonomic character of logarithms, pow- ers, and the nth prime function.

On non-holonomicity, transcendence and $p$-adic valuations On t he non-holonomic character of logarithms, pow- ers, and the nth prime function

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e3a0f447-f920-49a7-8c2c-76c78ea5dbac · outbound

This paper cites On some non-holonomic sequences.

On non-holonomicity, transcendence and $p$-adic valuations On some non-holonomic sequences

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f430c0c9-4c94-4572-9c01-d19a2edfcdc5 · outbound

This paper cites Applied and computational complex analysis, vol.

On non-holonomicity, transcendence and $p$-adic valuations Applied and computational complex analysis, vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:55.237232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 33e58b1a-ea5b-4819-8271-7dccb1f14c5a · outbound

This paper cites The concrete tetrahedron.

On non-holonomicity, transcendence and $p$-adic valuations The concrete tetrahedron

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T10:41:54.992523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d2d8b3be-6bbc-4426-8649-9edcb58475f0 · outbound

This paper cites an unresolved cited work.

On non-holonomicity, transcendence and $p$-adic valuations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:41:55.226930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 8ea1ad44-87f4-4329-9f8d-87f3a5e2754c · outbound

This paper cites Plain bases for classes of primitive recursive functions.

On non-holonomicity, transcendence and $p$-adic valuations Plain bases for classes of primitive recursive functions

Reference 11

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 65a65462-9563-48f8-9712-4b5891cdcf08 · outbound

This paper cites Published electronically at http://oeis.org.

On non-holonomicity, transcendence and $p$-adic valuations Published electronically at http://oeis.org

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:41:55.216881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e3b646c4-23d9-48aa-b057-b36157a3769e · outbound

This paper cites ¨Uber Potenzreihen mit ganzzahligen Koeffizienten.

On non-holonomicity, transcendence and $p$-adic valuations ¨Uber Potenzreihen mit ganzzahligen Koeffizienten

Reference 13

Resolution
verified exact
doi, observed 2026-08-11T10:41:55.065876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 587c9c4a-7542-45a9-a60c-dda69971d154 · outbound

This paper cites On other two representations of the C-recursive integer sequences by terms in modular arithmetic.

On non-holonomicity, transcendence and $p$-adic valuations On other two representations of the C-recursive integer sequences by terms in modular arithmetic

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-11T10:41:55.186272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fce38123-2cfc-4ee7-aa3f-23a3e8ab19bb · outbound

This paper cites On the representation of C-recursive integer sequences by arithmetic terms.

On non-holonomicity, transcendence and $p$-adic valuations On the representation of C-recursive integer sequences by arithmetic terms

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-11T10:41:55.173724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 91f05088-ed32-4622-a77c-46644c48d91c · outbound

This paper cites On the representation of number-theoretic functions by arithmetic terms.

On non-holonomicity, transcendence and $p$-adic valuations On the representation of number-theoretic functions by arithmetic terms

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-11T10:41:55.161100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d4a2c083-6400-4b19-95ba-ad6231c468fa · outbound

This paper cites Arithmetic-term rep resentations for the greatest common divisor,.

On non-holonomicity, transcendence and $p$-adic valuations Arithmetic-term rep resentations for the greatest common divisor,

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 72ad6ebb-2c8a-46f3-a1b2-acd2e2f2c8b4 · outbound

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On non-holonomicity, transcendence and $p$-adic valuations Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T10:41:55.024799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6c59c53f-b383-427e-a89b-97d353e18d71 · outbound

This paper cites Simion Stoilow.

On non-holonomicity, transcendence and $p$-adic valuations Simion Stoilow

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b3cc0f25-cd13-4f7d-a593-9396e1189302 · outbound

This paper cites (page 11).

On non-holonomicity, transcendence and $p$-adic valuations (page 11)

Reference 1987

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7a0b5691-97a6-41f0-8ec7-c505fad21f8b · outbound

This paper cites (page 3).

On non-holonomicity, transcendence and $p$-adic valuations (page 3)

Reference 2004

Resolution
malformed identifier
doi_truncated, observed 2026-08-11T10:41:55.093054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5dc93509-6bc0-48ac-b361-6a77778f556a · outbound

This paper cites Arithmetic-term representations for the greatest common divisor.

On non-holonomicity, transcendence and $p$-adic valuations Arithmetic-term representations for the greatest common divisor

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-11T10:41:55.020665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:41:55.020665Z digest=sha256:9de88ebfef36d0b5970ed2d61d67254adbf4b5503ca8312dfdc8762d5b88f1df

Pith citing papers

No inbound Pith citation observations are available.