Pith. sign in

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.241184Z digest=sha256:fa40b51b14f911f687fc08247b370bdfac553e582311ebd3e49dbee7f05d41d8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.349540Z digest=sha256:6cbcda34a2691a3d4e612b9131d01322f52d845a657f847d7bef9289655d42ac

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.435325Z digest=sha256:3d3cc6ef3ba9792f72a0c0819021d485fba93fa2434840f46ff8a298fa54a16a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.516808Z digest=sha256:e8ba49074ef74168da6fb59e21c4a1e884200b84e36e09b71ad66a593f411e00

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.589131Z digest=sha256:25aa853552b57bc8da2df6b3812401028d2548310976b378dd376eeeea9c5aef

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.712664Z digest=sha256:735c45be177283d44e9638a79711d4de52703b87d9dbe90eebc9baa08b4a5e52

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:37:14.881362Z digest=sha256:aa3a63b22b6acf2c633587c390c87a085164563a432cb9ba8899ee8d410e51ec

Pith citing papers

No inbound Pith citation observations are available.