Pith Number

pith:N2V2JD6I

pith:2012:N2V2JD6IRFFHG6YYIO3Z2AB7CD

not attested not anchored not stored refs pending

On the Wulff construction as a problem of equivalence of statistical ensembles

Jean Ruiz, Salvador Miracle-Sole

arxiv:1206.3739 v1 · 2012-06-17 · 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{N2V2JD6IRFFHG6YYIO3Z2AB7CD}

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.

Receipt and verification

First computed	2026-05-18T03:53:18.858831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eaba48fc8894a737b1843b79d003f10f9ce0ed52c4053eb4944c9ee137f00a8

Aliases

arxiv: 1206.3739 · arxiv_version: 1206.3739v1 · doi: 10.48550/arxiv.1206.3739 · pith_short_12: N2V2JD6IRFFH · pith_short_16: N2V2JD6IRFFHG6YY · pith_short_8: N2V2JD6I

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/N2V2JD6IRFFHG6YYIO3Z2AB7CD \
  | 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: 6eaba48fc8894a737b1843b79d003f10f9ce0ed52c4053eb4944c9ee137f00a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec45bd531369894c1afaf36741bdc0519adba71d9b8568bd15cea738ad1b06c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-17T09:55:15Z",
    "title_canon_sha256": "1d21ac4b06ea606f14b0947d6fc4d4907a358c1d0be2e5c80f83f38b97560b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3739",
    "kind": "arxiv",
    "version": 1
  }
}