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Paper Citation Record · LEDGER

A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1904.10557.

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

pith.paper-citation-record.v1
1904.10557 v1

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 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:31:00.746304Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:31:00.799231Z

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 4720275e-d981-42db-86fc-7c1c3ffed63f · inbound

Finitary codings for gradient models and a new graphical representation for the six-vertex model cites this paper.

Finitary codings for gradient models and a new graphical representation for the six-vertex model A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:31:00.803265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:31:00.746304Z digest=sha256:fa04c4217a2e67db591ee7ff294360d87174f95fb05e491b477bd48d0d5f5974