Pith Number

pith:3WJ7XMPJ

pith:2012:3WJ7XMPJHO7Y5F5SBVSWWSXWFY

not attested not anchored not stored refs pending

Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model

Frank den Hollander, Juli\'an Mart\'inez, Roberto Fern\'andez

arxiv:1202.4205 v2 · 2012-02-20 · math.PR · math-ph · math.GM · 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{3WJ7XMPJHO7Y5F5SBVSWWSXWFY}

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	2026-05-18T01:58:23.758496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd93fbb1e93bbf8e97b20d656b4af62e1e1b20b3861b65182ff8ebc7ae5ecc9f

Aliases

arxiv: 1202.4205 · arxiv_version: 1202.4205v2 · doi: 10.48550/arxiv.1202.4205 · pith_short_12: 3WJ7XMPJHO7Y · pith_short_16: 3WJ7XMPJHO7Y5F5S · pith_short_8: 3WJ7XMPJ

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/3WJ7XMPJHO7Y5F5SBVSWWSXWFY \
  | 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: dd93fbb1e93bbf8e97b20d656b4af62e1e1b20b3861b65182ff8ebc7ae5ecc9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd85d648d73dc580baa61d706542bb947a461df6d54527a4dd2fec3317ab30a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.GM",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-20T01:11:05Z",
    "title_canon_sha256": "d80970ea461a8c9bad5e28768d593797672d553857ab5b28abe2e17e09819680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4205",
    "kind": "arxiv",
    "version": 2
  }
}