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Paper Citation Record · LEDGER

"Infinitely Often" Transcendence of Gamma-Function Derivatives

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2601.18474.

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

pith.paper-citation-record.v1
2601.18474 v4

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T10:57:05.483660Z

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 exact2
  • verified fuzzy11
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a0e1556-b080-4527-9ecc-efc615c65b99 · outbound

This paper cites an unresolved cited work.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-16T10:57:47.099243Z

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=2026-05-16T10:57:05.483660Z digest=sha256:0871b773b7290a5879b5c5d38e76098c7a123bd7b3894416db5d6e939b829660

Observation 3c4c503d-83c9-4d31-aa72-f7f17021838b · outbound

This paper cites Rational Approximations for Values of Derivatives of the Gamma Function.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Rational Approximations for Values of Derivatives of the Gamma Function

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.106512Z

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=2026-05-16T10:57:05.483660Z digest=sha256:a5573ca99bf2fda7efc7663f5dc9c91106a4c9139cc4aa27ee952f5a22b831e4

Observation b45a104d-eee7-40e5-821b-af17ebb3f951 · outbound

This paper cites On the Arithmetic Nature of the Values of the Gamma Function, Euler’s Constant, and Gompertz’s Constant.

"Infinitely Often" Transcendence of Gamma-Function Derivatives On the Arithmetic Nature of the Values of the Gamma Function, Euler’s Constant, and Gompertz’s Constant

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.092716Z

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=2026-05-16T10:57:05.483660Z digest=sha256:215d6c118c4bc43e2e8e67b9fdc08ff1081b840fdcbc0382073fce398ce60089

Observation 94ae2682-2291-46aa-99f3-5fc24616efe3 · outbound

This paper cites Evaluation of Higher-Order Derivatives of the Gamma Function.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Evaluation of Higher-Order Derivatives of the Gamma Function

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.088405Z

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=2026-05-16T10:57:05.483660Z digest=sha256:f75bd8c1e335ca3d5738f5d1dc387f61cade878c3aaee777480dabc89f5324ff

Observation 060d1bff-6a52-4981-8588-194076843ce2 · outbound

This paper cites Irrationalit´ e deζ(2) etζ(3).

"Infinitely Often" Transcendence of Gamma-Function Derivatives Irrationalit´ e deζ(2) etζ(3)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.094779Z

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=2026-05-16T10:57:05.483660Z digest=sha256:0e9a0f40773044d2c43b54b314e7b13ef4f98148459acbf2acc22857cb6b3fe2

Observation fdfc5d7c-be97-4922-942a-e4b51c311bdb · outbound

This paper cites A Note on the Irrationality of Zeta(2) and Zeta(3).

"Infinitely Often" Transcendence of Gamma-Function Derivatives A Note on the Irrationality of Zeta(2) and Zeta(3)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.104217Z

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=2026-05-16T10:57:05.483660Z digest=sha256:5e3768dbe1b14f2028e141c5580f188042bfaeb1dafc57e2233c57cf5cb72c72

Observation 459f6898-c6bc-49ad-97d7-e26221a75728 · outbound

This paper cites Euler’s Constant: Euler’s Work and Modern Developments.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Euler’s Constant: Euler’s Work and Modern Developments

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.097217Z

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=2026-05-16T10:57:05.483660Z digest=sha256:fa2de0d86ef80323cc82f2412bb3d3afb81dcbf1df7273358b28574cd233f819

Observation cdb41d94-c151-42d3-b2d5-f78a26cc1413 · outbound

This paper cites Irrationalit´ e d’une Infinit´ e de Valeurs de la Fonction Zˆ eta aux Entiers Impairs.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Irrationalit´ e d’une Infinit´ e de Valeurs de la Fonction Zˆ eta aux Entiers Impairs

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.090549Z

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=2026-05-16T10:57:05.483660Z digest=sha256:8975115af34bb40d6472efabd23026b635cb452b0148f1845201153162223159

Observation 427151be-eb4a-4f8c-9a7e-4ccea7d7bf5a · outbound

This paper cites Many Odd Zeta Values are Irrational.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Many Odd Zeta Values are Irrational

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.101918Z

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=2026-05-16T10:57:05.483660Z digest=sha256:7cb81ccc310f1e7855746453b8c7fb583253773da8acdf37b748ca1809b7d9a2

Observation 3a0e86d1-c835-49a0-b712-8c71a3d590d9 · outbound

This paper cites Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-05-16T10:57:46.346423Z

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=2026-05-16T10:57:05.483660Z digest=sha256:17e1e063b141293b37a1077ae47d5adffe921ff78dfed2e104a48cc65d6e2394

Observation 4e4cf715-f9e7-4202-b42c-340fc12ac19d · outbound

This paper cites Relations Between Values of Arithmetic Gevrey Series, and Applications to Values of the Gamma Function.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Relations Between Values of Arithmetic Gevrey Series, and Applications to Values of the Gamma Function

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.081026Z

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=2026-05-16T10:57:05.483660Z digest=sha256:e4f183608a05d1f86cc4d6efe2a9299bb53ab942e0c89fc66a6c7df5089b4d1f

Observation f978b93b-35a3-47fd-a9c1-97a6657094e6 · outbound

This paper cites Arithmetic Theory of E-Operators.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Arithmetic Theory of E-Operators

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.085963Z

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=2026-05-16T10:57:05.483660Z digest=sha256:9e2281e578cfec732d7d51db17ff03e2dd06d009fb8e744d3b599f305a8e1139

Observation ec4ab7ef-8c4c-4b58-baf5-1718e3f9f147 · outbound

This paper cites S´ eries Gevrey de Type Arithm´ etique, I. Th´ eor` emes de Puret´ e et de Dualit´ e.

"Infinitely Often" Transcendence of Gamma-Function Derivatives S´ eries Gevrey de Type Arithm´ etique, I. Th´ eor` emes de Puret´ e et de Dualit´ e

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T10:57:47.083591Z

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=2026-05-16T10:57:05.483660Z digest=sha256:a279cf1a889f1c0253c9331ff20b5e2a7976af244413fd49536571c2f7c9c4f5

Observation b1ceaeab-1190-4cd9-a3a0-cccf31448e4a · outbound

This paper cites Lower Bounds for Densities of Transcendental Gamma-Function Derivatives.

"Infinitely Often" Transcendence of Gamma-Function Derivatives Lower Bounds for Densities of Transcendental Gamma-Function Derivatives

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-05-16T10:57:46.341693Z

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=2026-05-16T10:57:05.483660Z digest=sha256:b1396e73f76cc87928e9dca061c91e134a5c40f6e2bf523661b4f9eedc1ae40a

Pith citing papers

No inbound Pith citation observations are available.