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Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2511.01849.

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

pith.paper-citation-record.v1
2511.01849 v7

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T01:01:51.149149Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-16T10:57:46.343881Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact4
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c4efae5-ba8f-4b1a-98f9-e86f062156a2 · outbound

This paper cites On linear forms containing the Euler constant.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants On linear forms containing the Euler constant

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-05-18T01:02:15.301111Z

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=2026-05-18T01:01:51.149149Z digest=sha256:cb9b898f4566fe0d224c0629dd55be99013af91b8449f6b52c0a89f0d5c05aeb

Observation 72f608e4-afed-4f13-b727-a2a76d16ef3b · outbound

This paper cites On Transcendency and Algebraic Independence of the Values of E-Functions Connected with an Arbitrary Number of Algebraic Equations in the Field of Rational Functions.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants On Transcendency and Algebraic Independence of the Values of E-Functions Connected with an Arbitrary Number of Algebraic Equations in the Field of Rational Functions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.622910Z

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=2026-05-18T01:01:51.149149Z digest=sha256:26695cff9ffeb49ab368d4276a5f97a56287d5413aa406a1dc8f6007512591af

Observation 250d3ea3-170f-4d12-a7fd-53fb27132a81 · outbound

This paper cites Applications of a Theorem by A. B. Shidlovski.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Applications of a Theorem by A. B. Shidlovski

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.616107Z

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=2026-05-18T01:01:51.149149Z digest=sha256:40426dc9c974d34a25a9646b7a0b3d09a1c63188beffcf9f448d6cc3dd8f5f5a

Observation b7970df1-fb71-45e9-887e-3dd4805983e9 · outbound

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

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants On the Arithmetic Nature of the Values of the Gamma Function, Euler’s Constant, and Gompertz’s Constant

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.604899Z

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=2026-05-18T01:01:51.149149Z digest=sha256:e61c4b9361d692de5fc7937d5e239b36f2a85c65895c7b6f6753d6721d8b70e2

Observation 7834f829-344e-47c6-a79f-4322a381bcd3 · outbound

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

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Euler’s Constant: Euler’s Work and Modern Developments

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.600417Z

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=2026-05-18T01:01:51.149149Z digest=sha256:403e7810092d49e63c26b07b55c9c5a02ded300e938ae92a9b3fb2a151385049

Observation f3431a56-a9ae-42dd-abfc-a0987c7bdc1f · outbound

This paper cites H., 1949,Divergent Series, Clarendon Press, Oxford, UK.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants H., 1949,Divergent Series, Clarendon Press, Oxford, UK

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.611876Z

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=2026-05-18T01:01:51.149149Z digest=sha256:70b9d9a7abafe4de67e599c135bceb6f7bb10ac1625abfc2ac316c6ea2da9d4e

Observation 1e6b813d-e58d-4b93-8a71-b73d70946d1d · outbound

This paper cites Conjunctions of Three "Euler Constants" in Poisson-Related Expressions.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Conjunctions of Three "Euler Constants" in Poisson-Related Expressions

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T01:02:15.293748Z

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=2026-05-18T01:01:51.149149Z digest=sha256:3412a4f3c128e0cacdbad172b27256cf05d7a29507c17d8dd51dffc9765f226d

Observation b3aacf6f-4ead-430a-b139-0fe1b2fc534f · outbound

This paper cites an unresolved cited work.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-18T01:02:15.608655Z

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=2026-05-18T01:01:51.149149Z digest=sha256:84308e479075c5df1a404710b2278860aeaa8e4126a0e82f967092accdb76741

Observation c1098cbc-232b-46c0-9de7-8228fa518cac · outbound

This paper cites an unresolved cited work.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-18T01:02:15.597176Z

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=2026-05-18T01:01:51.149149Z digest=sha256:a0de3ea78e4f9cb428ef956d8e672bf0b4813d42b7b95254a813100847879b94

Observation bd593570-c202-474d-8c1f-68356ed306c9 · outbound

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

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Rational Approximations for Values of Derivatives of the Gamma Function

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.594313Z

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=2026-05-18T01:01:51.149149Z digest=sha256:4f197625dbafec42ae35ec11256e50d4caa2907db0c2ff10e0464b68f42cdb2a

Observation ba5a20da-ba15-4855-af5a-af344eb91020 · outbound

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

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Relations between Values of Arithmetic Gevrey Series, and Applications to Values of the Gamma Function

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.619558Z

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=2026-05-18T01:01:51.149149Z digest=sha256:6ca977d500faa6d01ce7d377758c322c97c791d16a6cc2ad36bf548237381392

Observation 491a1ae2-b1f2-4208-a474-51c4b7f041e3 · outbound

This paper cites Many Odd Zeta Values are Irrational.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Many Odd Zeta Values are Irrational

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.574010Z

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=2026-05-18T01:01:51.149149Z digest=sha256:d0ad53b6764637aff8c2dac61cc07cfc996d02c761e82acffc8d1af518552005

Observation 56a31287-9400-47db-8c43-7ef069728de6 · outbound

This paper cites On the Zeroes of Certain Classes of Integral Taylor Series, Part II.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants On the Zeroes of Certain Classes of Integral Taylor Series, Part II

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.591203Z

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=2026-05-18T01:01:51.149149Z digest=sha256:cbb9cfcb84a1856e4ef9e36905a39e0ae37d71efe778eae3ff3f8be28eca9f41

Observation 52ea3ad0-5768-4e26-9c4a-31f317ec21b4 · outbound

This paper cites B., 1989,Transcendental Numbers, Walter de Gruyter, Berlin, Germany.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants B., 1989,Transcendental Numbers, Walter de Gruyter, Berlin, Germany

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.587843Z

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=2026-05-18T01:01:51.149149Z digest=sha256:4f8ffc4028363446c19509d65197b0f95e701bdfb84cb99e0f49f3be1995ef7f

Observation 62ef2251-cc87-40a8-8145-83d128458287 · outbound

This paper cites A Refined Version of the Siegel-Shidlovskii Theorem.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants A Refined Version of the Siegel-Shidlovskii Theorem

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T01:02:15.581761Z

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=2026-05-18T01:01:51.149149Z digest=sha256:bef3c2e1314867c130a2f466a4d6d266b0d46029a4d184b8e5a6d3d7f8f842b7

Observation f0aa5f66-fe6c-4d81-a0d7-7f35a6339d7b · outbound

This paper cites On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-18T01:02:15.288417Z

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=2026-05-18T01:01:51.149149Z digest=sha256:d42eb8a68d250778c2be8b9d563e24f05c6d63097b9a97a7b8a9e3d6e8d2d69f

Observation 8f638892-bcbe-4572-a168-9498d1cf17af · outbound

This paper cites an unresolved cited work.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-18T01:02:15.584740Z

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=2026-05-18T01:01:51.149149Z digest=sha256:1fe7e99109134b0d6eca1cec00948c8a8fe53bf8256ed46fb5cafccb99f0d82d

Observation e555852d-d678-4731-a2b7-6510969c49a5 · outbound

This paper cites Extensions by Antiderivatives, Exponentials of Integrals and by Iterated Logarithms.

Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants Extensions by Antiderivatives, Exponentials of Integrals and by Iterated Logarithms

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-05-18T01:02:15.282053Z

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=2026-05-18T01:01:51.149149Z digest=sha256:65f90f439b60716cb04f819b8781d397c4925a3d442e3289f33d66c9ffad5ee1

Pith citing papers

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

"Infinitely Often" Transcendence of Gamma-Function Derivatives cites this paper.

"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