Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:37:14.881362Z
Paper Citation Record · LEDGER
Ramanujan's oscillator
As of 20 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.16837.
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 2026-08-20T06:33:59.587034+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
7 of 7 outbound references displayed
- verified exact0
- verified fuzzy4
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e89929e9-e582-40ac-a325-5c45cc1c1f10 · outbound
This paper cites Goldstein, C.
Ramanujan's oscillator Goldstein, C
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:37:16.416633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 18761431-8a00-4e06-bbbf-a82d71d2100e · outbound
This paper cites an unresolved cited work.
Ramanujan's oscillator Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:37:16.251911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6d163771-04fb-4630-a2a3-212bbea1a97e · outbound
This paper cites Stillwell, Elements of Number Theory.
Ramanujan's oscillator Stillwell, Elements of Number Theory
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:37:16.093823Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 034a3d11-a080-4107-8a4a-d82c9b44605f · outbound
This paper cites Taxicab numbers and the expr ession of numbers as a sum of two cubes,.
Ramanujan's oscillator Taxicab numbers and the expr ession of numbers as a sum of two cubes,
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:37:15.805769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d91b0497-72a6-42a1-917e-fec34c9702d5 · outbound
This paper cites an unresolved cited work.
Ramanujan's oscillator Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:37:15.605180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a7f4a3a9-118f-426c-a557-69969f8dfdac · outbound
This paper cites an unresolved cited work.
Ramanujan's oscillator Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:37:15.281550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9d3d01dc-8cc4-43bb-bc17-424c6d7e021f · outbound
This paper cites Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan.
Ramanujan's oscillator Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:37:15.112482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.