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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:67bdeb00172758a77334207824ce61d452105b56e38d50b35bd563af8a4adadb

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:76c149b5196d872c2124d9f81efef8a66a64edf6bef3590cef73111eb4187d08

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:fc5955551cde8736360a8f9dbdaa2fe762494adae1e6f6dc0539fa7e100a43b6

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:9ea3e1c231751b1d2a7e37b04538d0063b365631fba086803dc9105c06cff3da

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:c6c47c73fce6785d00951676b32d00f2ba211951e3db8f60a962534983add49b

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:2e00bae56deda8ef29148e3dcb6331f72aa8f5226b64773cdf882e4c3efd3283

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:68e95ab1601e566a1057c8c216b33a69c4accf2edf433700c4ebb6a32f81648f

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:64c8cc83bd5533891f7e04b05bb74d61fd46fbcdb9f36c235f96cd80cc3202b6

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:780d211e4aefaf997f090859398cb7d620a3707466d51de3e3784a8b0594b059

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:f5fc2ad5b3173ff27ddc6b3c4ee3410241f253691b8c41837b536e8da628955a

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:300a45d14e3674788601d7b1f5c5dc1f585c3cd46418d3235af79dc1e714e222

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:4cd5d6fdba0fa4f6f5ad2491ea84130195946a58fedc196be287fed575676afb

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:254bd3c343d489de84b03085b11d602a39fd028bc09eb7a4d4eafd83541b0972

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

source=pdf_text observed=2026-05-16T10:57:05.483660Z digest=sha256:8c17ab046636050e9ab3380c1bcbd6390cc537280306ceafb4e756851de1115a

Pith citing papers

No inbound Pith citation observations are available.