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Paper Citation Record · LEDGER

Ramanujan's oscillator

As of 13 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.

pith.paper-citation-record.v1
2507.16837 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:37:14.881362Z

measured 7 of 7 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 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

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.241184Z digest=sha256:5350e9d2f0d1adc9f8f5e5e2837283ac4d182cb43c02d2a8967166b58eac2f1f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.349540Z digest=sha256:1773693b5e0540051ca83342a92d2e2b27286e9c1958119e0bf6df04ddf689e1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.435325Z digest=sha256:8fe09a5b25b14122cf8debf20a35571f295d7d0318012bdefe9e503d44cd628f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.516808Z digest=sha256:759393949730ed23ab2aea4e477e82b771c46d376b4021f605948a13191b242a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.589131Z digest=sha256:3c776aa30799bca7475a2fe21fea33f08e5d3e082a8b2e9360d95e9661b12da1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.712664Z digest=sha256:c9290ada735023799429986ee2bc9f7f9b63e8b49e25e4cf5c57dfa493d0c9b3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T16:37:14.881362Z digest=sha256:dd78d6da975f480fc00ef330637272b979b2f9196ce1b25c54b8681111c30992

Pith citing papers

No inbound Pith citation observations are available.