Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:57:32.049981Z
Paper Citation Record · LEDGER
Properties of the cumulated deficient binary digit sum
As of 16 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:1908.02250.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
4 of 4 outbound references displayed
- verified exact1
- verified fuzzy2
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 11ea2e44-254e-4948-a8f8-6d02fac20632 · outbound
This paper cites an unresolved cited work.
Properties of the cumulated deficient binary digit sum Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:57:32.143120Z
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 b5fad27d-ee29-47d6-8cd2-65ba9f93de5e · outbound
This paper cites Flattening Karatsuba's recursion tree into a single summation.
Properties of the cumulated deficient binary digit sum Flattening Karatsuba's recursion tree into a single summation
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:57:32.092939Z
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 22b4c61c-1422-4571-af65-f796e81701a7 · outbound
This paper cites Lagarias, The Takagi function and its properties , in Functions in number theory and their probabilistic aspects, 153–189, RIMS Kk yroku Bessatsu, B34, Res.
Properties of the cumulated deficient binary digit sum Lagarias, The Takagi function and its properties , in Functions in number theory and their probabilistic aspects, 153–189, RIMS Kk yroku Bessatsu, B34, Res
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:32.127239Z
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 c0ed574f-0ab1-40f7-8baf-971f0a43a596 · outbound
This paper cites 1, 176–177, 1901.
Properties of the cumulated deficient binary digit sum 1, 176–177, 1901
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:32.110791Z
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.
Pith citing papers
No inbound Pith citation observations are available.