Pith Number

pith:PQIWFISA

pith:2025:PQIWFISAISRW37YOOU4J2T4OIV

not attested not anchored not stored refs pending

Near-critical Ornstein--Zernike theory for the planar random-cluster model

Ioan Manolescu, Lucas D'Alimonte

arxiv:2510.13648 v3 · 2025-10-15 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQIWFISAISRW37YOOU4J2T4OIV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Crossover from subcritical to critical decay: random walk, self-avoiding walk, percolation

Receipt and verification

First computed	2026-06-24T01:14:58.749557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1162a24044a36dff0e75389d4f8e4567771112da3aeba7681ff9c7031f7138

Aliases

arxiv: 2510.13648 · arxiv_version: 2510.13648v3 · doi: 10.48550/arxiv.2510.13648 · pith_short_12: PQIWFISAISRW · pith_short_16: PQIWFISAISRW37YO · pith_short_8: PQIWFISA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PQIWFISAISRW37YOOU4J2T4OIV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7c1162a24044a36dff0e75389d4f8e4567771112da3aeba7681ff9c7031f7138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92bb9549ec7bdf028011f261f5971bb4e00ca9af3ee1e4e5f9f933acd891ddbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-10-15T15:12:21Z",
    "title_canon_sha256": "0570b6088117f0f3f99e43b479176d2aa8900ea27e225b8d9843347e9efe2573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.13648",
    "kind": "arxiv",
    "version": 3
  }
}