Pith. sign in

Paper Citation Record · LEDGER

Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:0807.1870.

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

pith.paper-citation-record.v1
0807.1870 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:55:21.059332Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:55:28.420066Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c5817e72-01ec-4e57-82ae-985cd44a95f3 · inbound

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent cites this paper.

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:55:28.501178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:55:21.059332Z digest=sha256:30fccd8610d5171133a0fd4491be32afc6a82798ae9a3065c23708a5602677f4