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Paper Citation Record · LEDGER

Real-valued continued fraction of straight lines

As of 18 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2412.16191.

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

pith.paper-citation-record.v1
2412.16191 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:56:34.008397Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:56:41.836613Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T05:56:41.952701Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba425d72-b0a0-4406-9ae8-d6f842fbdbb4 · outbound

This paper cites (2004) On the Transformation of Infinite Series to Continued Fractions (D.

Real-valued continued fraction of straight lines (2004) On the Transformation of Infinite Series to Continued Fractions (D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:56:34.118680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T14:56:33.990545Z digest=sha256:9da0b498cef5415069c81c4d6faa2a50ee1c362aecf7448df465f4450cb37d2a

Observation 719f9d0b-3258-464b-a999-ddc414c85fb2 · outbound

This paper cites an unresolved cited work.

Real-valued continued fraction of straight lines Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:56:34.097207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T14:56:33.996943Z digest=sha256:fd6bbe67e3354bf6717e3b0ae1415c287347ad3cb7a285bf975b3c3539a875aa

Observation efc176b8-28d3-4e90-8b2c-3aa637a6962b · outbound

This paper cites An overview of gradient descent optimization algorithms.

Real-valued continued fraction of straight lines An overview of gradient descent optimization algorithms

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T14:56:34.001808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:56:34.001808Z digest=sha256:f7f2d2f926573f792b5696e7b32db92b890d1d02e8b892029e724e32278350a4

Observation a1fd71b2-ad95-4931-bb21-b5e43235329e · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

Real-valued continued fraction of straight lines Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T14:56:34.008397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:56:34.008397Z digest=sha256:c077f882b39656d3e6598ac5d07578c11ba8e3ed3edbfc31c81f51d8a040667e

Pith citing papers

Observation f7a8e6d6-c13c-4ef4-82cf-dc8902e9b009 · inbound

Two-parameter superposable S-curves cites this paper.

Two-parameter superposable S-curves Real-valued continued fraction of straight lines

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:56:41.956990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:56:41.836613Z digest=sha256:960ccda70d614e8cba7b97ce7868b258dd8b42e654e57d7a99a0174d7ff63e2f