Pith Number

pith:AVZMTMJZ

pith:2017:AVZMTMJZZ7N7N5WYCFJ26P2MZE

not attested not anchored not stored refs pending

On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model

Andrea Collevecchio, Eren Metin Elci, Martin Weigel, Timothy M. Garoni

arxiv:1705.07189 v1 · 2017-05-19 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVZMTMJZZ7N7N5WYCFJ26P2MZE}

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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.

Receipt and verification

First computed	2026-05-18T00:24:31.218409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0572c9b139cfdbf6f6d81153af3f4cc92e96230093c533e8a8c25dc240620bce

Aliases

arxiv: 1705.07189 · arxiv_version: 1705.07189v1 · doi: 10.48550/arxiv.1705.07189 · pith_short_12: AVZMTMJZZ7N7 · pith_short_16: AVZMTMJZZ7N7N5WY · pith_short_8: AVZMTMJZ

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/AVZMTMJZZ7N7N5WYCFJ26P2MZE \
  | 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: 0572c9b139cfdbf6f6d81153af3f4cc92e96230093c533e8a8c25dc240620bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a537cccd4f5f2b11d36eb1e1756dcf6aa6ae7baf6ce1424f4768cfbcbfce859d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-19T21:05:44Z",
    "title_canon_sha256": "7153d302c374fb0157bb4392f73df78d9899596d63971634ed0cbe0a69a1b1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07189",
    "kind": "arxiv",
    "version": 1
  }
}