Paper Citation Record · LEDGER

Algebraic independence of certain entire functions of two variables generated by linear recurrences

As of 23 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.06289.

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

pith.paper-citation-record.v1
1908.06289 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:58:49.204396Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy9
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb3f6509-9cf6-4cbe-96f0-34a4fe8b854a · outbound

This paper cites an unresolved cited work.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:58:49.465326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cd3ebc5b-cb88-43b0-bffa-0da2642c3e48 · outbound

This paper cites an unresolved cited work.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:58:49.449283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bb94154e-6199-4992-957b-2df5c2fcd072 · outbound

This paper cites Mahler, Arithmetische Eigenschaften der L¨ osungen einer Klasse vo n Funk- tionalgleichungen, Math.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Mahler, Arithmetische Eigenschaften der L¨ osungen einer Klasse vo n Funk- tionalgleichungen, Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.429392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c37695ed-2d68-4027-aba4-a00a1981ed01 · outbound

This paper cites an unresolved cited work.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:58:49.410651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 47f992ff-e782-4def-939e-879ebfc33440 · outbound

This paper cites Nishioka, Algebraic independence of certain power series of algebrai c num- bers, J.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Nishioka, Algebraic independence of certain power series of algebrai c num- bers, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.391416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cfbeb221-1854-4b4a-876c-ee1735377581 · outbound

This paper cites Nishioka, Algebraic independence of Mahler functions and their value s, To- hoku Math.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Nishioka, Algebraic independence of Mahler functions and their value s, To- hoku Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.372703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5eb66c40-d4e1-43b7-9e37-f04ed97872ac · outbound

This paper cites Nishioka, Mahler Functions and Transcendence, Lecture Not es in Mathe- matics No.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Nishioka, Mahler Functions and Transcendence, Lecture Not es in Mathe- matics No

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.355560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a0401f93-587a-4fee-b252-5983453b187d · outbound

This paper cites an unresolved cited work.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:58:49.337739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f960582c-9707-47d8-94b6-83f17deb1a7a · outbound

This paper cites Tanaka, Algebraic independence of certain numbers deﬁned by linear recur- rences, Keio Sci.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Tanaka, Algebraic independence of certain numbers deﬁned by linear recur- rences, Keio Sci

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.317464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3a8d0482-8629-4667-9680-885e15d4ab4e · outbound

This paper cites Tanaka, Algebraic independence of the values of power series genera ted by linear recurrences, Acta Arith.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Tanaka, Algebraic independence of the values of power series genera ted by linear recurrences, Acta Arith

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.299580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c5d67c0e-9c39-4190-b8b9-da2ff26689cf · outbound

This paper cites Tanaka, Algebraic independence results related to linear recurren ces, Osaka J.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Tanaka, Algebraic independence results related to linear recurren ces, Osaka J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.282892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6a58a6f4-94ad-45f1-ba73-63eed502b18e · outbound

This paper cites Tanaka, Algebraic independence properties related to certain inﬁn ite prod- ucts, in Diophantine Analysis and Related Fields 2011, vol.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Tanaka, Algebraic independence properties related to certain inﬁn ite prod- ucts, in Diophantine Analysis and Related Fields 2011, vol

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.266094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 814b4984-bb50-4569-8275-9fe09c3d7887 · outbound

This paper cites Waldschmidt, Diophantine Approximation on Linear Algebraic Gr oups, Grundlehren der mathematischen Wissenschaften No.

Algebraic independence of certain entire functions of two variables generated by linear recurrences Waldschmidt, Diophantine Approximation on Linear Algebraic Gr oups, Grundlehren der mathematischen Wissenschaften No

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:49.248621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.