Pith Number

pith:B3EHLWLE

pith:2023:B3EHLWLE7AW4OWDJ6LFO6QHT5M

not attested not anchored not stored refs pending

Potts and random cluster measures on locally regular-tree-like graphs

Allan Sly, Amir Dembo, Anirban Basak

arxiv:2312.16008 v3 · 2023-12-26 · math.PR · cond-mat.stat-mech · 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{B3EHLWLE7AW4OWDJ6LFO6QHT5M}

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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

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs

Receipt and verification

First computed	2026-07-05T11:06:19.667405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec875d964f82dc75869f2caef40f3eb0383c6e4e7b705201222943f8b18d886

Aliases

arxiv: 2312.16008 · arxiv_version: 2312.16008v3 · doi: 10.48550/arxiv.2312.16008 · pith_short_12: B3EHLWLE7AW4 · pith_short_16: B3EHLWLE7AW4OWDJ · pith_short_8: B3EHLWLE

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/B3EHLWLE7AW4OWDJ6LFO6QHT5M \
  | 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: 0ec875d964f82dc75869f2caef40f3eb0383c6e4e7b705201222943f8b18d886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eaf8744a08af7c5fd82b4b0e944683adfab52d41bb9906b17c29c533ad200e5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-26T11:27:12Z",
    "title_canon_sha256": "3c2264da46232f8df058795497bd021cc6b4a5c537b6fbefdf2987750a3bfe9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16008",
    "kind": "arxiv",
    "version": 3
  }
}