Paper Citation Record · LEDGER

Diophantine FLINT-HILLS series

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2502.03474.

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

pith.paper-citation-record.v1
2502.03474 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:21:33.678409Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

39 of 39 outbound references displayed

verified exact13
verified fuzzy9
unresolved11
parse uncertain0
malformed identifier5
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation df7a7418-da8b-47c4-98db-977c6a9989d5 · outbound

This paper cites Abramowitz and I.

Diophantine FLINT-HILLS series Abramowitz and I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.536611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 72e15505-45e6-4d5c-b87b-bdc73c692f7b · outbound

This paper cites On convergence of the Flint Hills series.

Diophantine FLINT-HILLS series On convergence of the Flint Hills series

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T17:21:33.519962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db3f99c1-9c48-4f86-b12d-f283a3d458c5 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.523118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec31020f-ac06-4372-98ad-cf441633852f · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.842895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23cd78eb-5aeb-4c3c-b5f8-1c4f45bd7e00 · outbound

This paper cites LibreTexts Mathematics.

Diophantine FLINT-HILLS series LibreTexts Mathematics

Reference 5

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T17:21:34.509404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0f5cd25a-e75f-41c6-b929-280e71ac1e8b · outbound

This paper cites On Bose-Einstein Functions,.

Diophantine FLINT-HILLS series On Bose-Einstein Functions,

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.828708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cf34edac-5514-4bc0-ba42-6fcc7182e337 · outbound

This paper cites A., Ziroyan, M.

Diophantine FLINT-HILLS series A., Ziroyan, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.495905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f4b13a41-cd4f-4ad3-828f-4247736fd15e · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.814386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d2869246-be6e-4301-92d5-cbd3a970cc4e · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.799756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c19972ac-9b66-4384-9164-92f2b02679ea · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.784462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3c00a521-ff98-44c5-b5ab-f87039e02f4e · outbound

This paper cites Euler spotyka Ramanujan,.

Diophantine FLINT-HILLS series Euler spotyka Ramanujan,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.482901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 435bcdee-7e08-42c6-a2b6-1d0e77ab5ee1 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.470052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 276dc7f5-9d0e-47bb-9c90-3ab801f4e26a · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.770152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78445115-7eac-419c-80de-e9b658b1cdc1 · outbound

This paper cites Complete asymptotic expansions for the relativistic Fermi-Dirac integral.

Diophantine FLINT-HILLS series Complete asymptotic expansions for the relativistic Fermi-Dirac integral

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:21:34.220756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c1bfbb39-8199-4e97-91af-f66238479443 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.456113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 81e2bafd-a798-4472-8a51-e9ed169e4cc5 · outbound

This paper cites H., Littlewood, J.

Diophantine FLINT-HILLS series H., Littlewood, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.442956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d9a7bf0-e6b2-4190-8dce-b6f40278ea6b · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-10T17:21:34.200572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5aac8e1-181a-46db-a72b-68b9a1bca534 · outbound

This paper cites Bounds on Irrationality Measures and the Flint-Hills Series.

Diophantine FLINT-HILLS series Bounds on Irrationality Measures and the Flint-Hills Series

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:21:34.123453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9da576ca-02de-462a-a852-90ccc588dbab · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.429941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ae720607-87ff-43bf-8fcc-468d465cc187 · outbound

This paper cites A note on Abel's partial summation formula.

Diophantine FLINT-HILLS series A note on Abel's partial summation formula

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:21:33.755739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cdee621f-6fe3-4b25-99ac-ffcf6b83d03a · outbound

This paper cites Nakamura, M.

Diophantine FLINT-HILLS series Nakamura, M

Reference 21

Resolution: verified exact; doi, observed 2026-08-10T17:21:33.735339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bcc50729-6cb2-4f1f-bf5b-4716de09065f · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-10T17:21:34.103745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e3bc7c7-74fc-4167-a543-ac40d6132ca4 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-10T17:21:34.016142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8cf9e4b4-3993-404a-b1fe-67760ed22094 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 24

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T17:21:34.416926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 14d35775-8f7b-4837-9ab4-f2e99e7b0b11 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 25

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T17:21:34.404364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b246038c-6008-4426-b88a-9e7e6ccdb9c5 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 26

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T17:21:34.392344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5da237d0-047b-47d2-890e-fa2c31c6be34 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.380154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 10e8a2a2-abb8-4054-9063-6d701ac24963 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.368251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3fcada55-17fd-468a-99f5-bfb62f9fc077 · outbound

This paper cites On the Classification of Weierstrass Elliptic Curves over $\mathbb{Z}_n$.

Diophantine FLINT-HILLS series On the Classification of Weierstrass Elliptic Curves over $\mathbb{Z}_n$

Reference 29

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T17:21:33.720367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9c088126-720d-4ea3-a86e-8533986d7977 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.355309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dc15fb4a-9185-40e6-8760-e71f715f33aa · outbound

This paper cites Analysis I.

Diophantine FLINT-HILLS series Analysis I

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.342590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f43cb57-e255-48f3-a475-974da004b89c · outbound

This paper cites Ineq.,7 (1) (2023), 12–21.

Diophantine FLINT-HILLS series Ineq.,7 (1) (2023), 12–21

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.329368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fab28956-ab44-4032-bd2b-4fd3421fb025 · outbound

This paper cites Special functions: An introduction to the classical functions of mathematical physics.

Diophantine FLINT-HILLS series Special functions: An introduction to the classical functions of mathematical physics

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.315680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 84a9c145-7c1e-4971-ae9f-92d446e51469 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.302177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 91940a23-043a-43b3-856e-f6e248ba78fe · outbound

This paper cites Cookson Hills Series.

Diophantine FLINT-HILLS series Cookson Hills Series

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.288523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 63d1f48b-9886-4f91-87c1-a578e1acff11 · outbound

This paper cites Riemann–Stieltjes integral.

Diophantine FLINT-HILLS series Riemann–Stieltjes integral

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:21:34.274999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 70545dc6-645f-465a-b477-c8d4ae88d802 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.261798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6feee295-2245-4694-89ff-9b7e6ba5f863 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:21:34.247789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e3389ac-6060-4271-bf5a-df8078af7a47 · outbound

This paper cites an unresolved cited work.

Diophantine FLINT-HILLS series Unresolved cited work

Reference 39

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T17:21:34.234346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.