Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.07098.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:54:50.578544Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T00:54:50.771800Z
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 56285d1b-5da5-4d1f-8c75-26c55c26b29d · inbound
Phase transitions in low-dimensional long-range random field Ising models cites this paper.
Phase transitions in low-dimensional long-range random field Ising models Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T00:54:50.779729Z
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.
Observation 00aa8cb6-e5b2-4772-afc9-fd3e438a3e4c · inbound
A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures cites this paper.
A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T23:55:49.755282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.