Paper Citation Record · LEDGER

Popa's "Recurrent Sequences" and Reciprocity

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2412.11806.

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

pith.paper-citation-record.v1
2412.11806 v3

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:39:06.581557Z

measured 21 of 21 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:40:56.833908Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T13:40:56.863439Z

Reference resolution

20 of 20 outbound references displayed

verified exact5
verified fuzzy6
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97390e22-cf5a-4899-a49c-15792441e7ad · outbound

This paper cites Popa, Recurrent sequences and the asymptotic expansion of a function,Gazeta Mat.

Popa's "Recurrent Sequences" and Reciprocity Popa, Recurrent sequences and the asymptotic expansion of a function,Gazeta Mat

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:39:06.965935Z

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.

Observation 2d4cdc25-9391-4d18-ad17-10c65b8992ae · outbound

This paper cites Popa, Refined asymptotic expansions for some recurrent sequences,Gazeta Mat.

Popa's "Recurrent Sequences" and Reciprocity Popa, Refined asymptotic expansions for some recurrent sequences,Gazeta Mat

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:39:06.955900Z

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.

Observation fcc5722f-23dd-44e0-ac80-677fb5aeca0e · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.945899Z

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.

Observation 37e249d3-08d1-4c6b-a8bb-d3058105282a · outbound

This paper cites Bencherif and G.

Popa's "Recurrent Sequences" and Reciprocity Bencherif and G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:39:06.936263Z

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.

Observation 9ddc5ddd-82c9-46f3-bfab-85ae5f84809d · outbound

This paper cites Mavecha and V.

Popa's "Recurrent Sequences" and Reciprocity Mavecha and V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:39:06.925592Z

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.

Observation 8d379f66-b92b-49dc-9e4c-8f9365336da6 · outbound

This paper cites A Deceptively Simple Quadratic Recurrence.

Popa's "Recurrent Sequences" and Reciprocity A Deceptively Simple Quadratic Recurrence

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:39:06.819511Z

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.

Observation 85a2c650-e7bb-43c6-9774-918c3feda703 · outbound

This paper cites Recurrent Sequences.

Popa's "Recurrent Sequences" and Reciprocity Recurrent Sequences

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-11T14:39:06.803615Z

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.

Observation ba6dc068-93eb-48e3-98b5-f91603e7ee7e · outbound

This paper cites Iterated Radical Expansions and Convergence.

Popa's "Recurrent Sequences" and Reciprocity Iterated Radical Expansions and Convergence

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:39:06.654764Z

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.

Observation 3a1ee0e4-68dc-4c29-b63b-b943e53b62af · outbound

This paper cites What do sin$(x)$ and arcsinh$(x)$ have in Common?.

Popa's "Recurrent Sequences" and Reciprocity What do sin$(x)$ and arcsinh$(x)$ have in Common?

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T14:39:06.540881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4103e5bc-3ec1-43f7-a1e4-cfa85e813ccc · outbound

This paper cites Exercises in Iterational Asymptotics.

Popa's "Recurrent Sequences" and Reciprocity Exercises in Iterational Asymptotics

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:39:06.630752Z

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.

Observation 1126329c-8ca0-4192-a7d6-45c122819b1c · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.914928Z

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.

Observation 99ecb995-1fb2-4188-a8d3-3e1c447d278b · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.904097Z

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.

Observation 586aba1f-044b-40d1-9f33-5ded7aee649a · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.893495Z

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.

Observation f3f3fbdc-d47c-470c-b5f0-e10da681c54d · outbound

This paper cites Larsen, J.

Popa's "Recurrent Sequences" and Reciprocity Larsen, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:39:06.883494Z

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.

Observation 127be64b-8995-41f6-87d6-70cdfa01f1e7 · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.872847Z

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.

Observation 2d40a59d-57aa-4750-8dd3-d453677f6866 · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.862090Z

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.

Observation b526bdb2-ee34-454e-9963-099a11882a8e · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.851719Z

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.

Observation 903b0427-152f-49de-b0b8-922e7f231a44 · outbound

This paper cites Fink and N.

Popa's "Recurrent Sequences" and Reciprocity Fink and N

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:39:06.841383Z

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.

Observation 8f679a06-6a75-4e3c-8a38-433e92633681 · outbound

This paper cites an unresolved cited work.

Popa's "Recurrent Sequences" and Reciprocity Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:39:06.830767Z

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.

Observation 4c3f7839-c640-4cee-8a5c-ad8c724d9a43 · outbound

This paper cites Polynomials with integer coefficients and their zeros.

Popa's "Recurrent Sequences" and Reciprocity Polynomials with integer coefficients and their zeros

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:39:06.615844Z

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.

Pith citing papers

Observation f80b97e6-ade1-476e-95f6-7f80e1a43372 · inbound

Exercises in Iterational Asymptotics cites this paper.

Exercises in Iterational Asymptotics Popa's "Recurrent Sequences" and Reciprocity

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:40:56.868325Z

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.