Paper Citation Record · LEDGER

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.07290.

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

pith.paper-citation-record.v1
1908.07290 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:34:58.025401Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact8
verified fuzzy4
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47d93f23-34b2-4931-8e75-fe4b2c451781 · outbound

This paper cites Andr´ e-Jeannin, Irrationalit´ e de la somme des inverses de certaines suites r´ ecurrentes.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Andr´ e-Jeannin, Irrationalit´ e de la somme des inverses de certaines suites r´ ecurrentes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:34:58.601058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 58848d51-33ed-4843-a6b4-ea522156b1f6 · outbound

This paper cites Bundschuh and K.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Bundschuh and K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:34:58.589926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation beb873b6-ee2c-4c5d-ab12-3abab89c5305 · outbound

This paper cites Bundschuh, Arithmetical investigations of particular Wynn power seri es.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Bundschuh, Arithmetical investigations of particular Wynn power seri es

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:34:58.578713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 11607a25-aa99-4723-b49c-ce43ab117d17 · outbound

This paper cites Chamfy, F onctions m´ eromorphes dans le cercle-unit´ e et leurs s´ eries de Taylor.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Chamfy, F onctions m´ eromorphes dans le cercle-unit´ e et leurs s´ eries de Taylor

Reference 4

Resolution: verified exact; doi, observed 2026-08-14T12:34:58.111491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bfe6c364-bbdb-4e66-a24b-328f2a9c37b7 · outbound

This paper cites Duverney, Irrationalit´ e de la somme des inverses de la suite de Fibonacci.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Duverney, Irrationalit´ e de la somme des inverses de la suite de Fibonacci

Reference 5

Resolution: verified exact; doi, observed 2026-08-14T12:34:58.100856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2665bc8a-7952-4167-bc6c-ff9a8f87021e · outbound

This paper cites Duverney and I.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Duverney and I

Reference 6

Resolution: verified exact; doi, observed 2026-08-14T12:34:58.090554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 33632ab2-bee8-44e7-9786-08acec288c45 · outbound

This paper cites Erd˝ os,On the irrationality of certain series.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Erd˝ os,On the irrationality of certain series

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:34:58.567034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d04ea0b1-d08b-4551-9c8e-f0fecaed929b · outbound

This paper cites Garth, Complex Pisot numbers of small modulus.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Garth, Complex Pisot numbers of small modulus

Reference 8

Resolution: verified exact; doi, observed 2026-08-14T12:34:58.079922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 464c533a-7cfb-4a44-9bb6-08c2bf611973 · outbound

This paper cites Matala-aho and M.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Matala-aho and M

Reference 9

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-14T12:34:58.554400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bca984a1-53a0-4c72-a5b4-bea9a923c3d7 · outbound

This paper cites Matala-aho and M.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Matala-aho and M

Reference 10

Resolution: verified exact; doi, observed 2026-08-14T12:34:58.069796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d54482ff-d14f-4024-b486-b3209d9f41d7 · outbound

This paper cites Pr´ evost, On the irrationality of ∑ tn Aαn+Bβ n.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Pr´ evost, On the irrationality of ∑ tn Aαn+Bβ n

Reference 11

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-14T12:34:58.383189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5393afa2-f6a2-4d22-bf4c-bd2bf8cbf6aa · outbound

This paper cites Siegel, Algebraic integers whose conjugates lie in the unit circle.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Siegel, Algebraic integers whose conjugates lie in the unit circle

Reference 12

Resolution: verified exact; doi, observed 2026-08-14T12:34:58.058770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 14792f37-a4e4-4218-92be-49a2e7eabe69 · outbound

This paper cites Tachiya, Irrationality of certain Lambert series.

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers Tachiya, Irrationality of certain Lambert series

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T12:34:58.025401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.