Pith Number

pith:J3FOAPXY

pith:2014:J3FOAPXYMBTCPPCVSFWR4C4HFF

not attested not anchored not stored refs pending

Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach

Francesca Collet

arxiv:1406.4044 v2 · 2014-06-16 · 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{J3FOAPXYMBTCPPCVSFWR4C4HFF}

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	2026-05-18T01:42:56.488720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ecae03ef8606627bc55916d1e0b872978820e00462747b3374926ef212b388b

Aliases

arxiv: 1406.4044 · arxiv_version: 1406.4044v2 · doi: 10.48550/arxiv.1406.4044 · pith_short_12: J3FOAPXYMBTC · pith_short_16: J3FOAPXYMBTCPPCV · pith_short_8: J3FOAPXY

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/J3FOAPXYMBTCPPCVSFWR4C4HFF \
  | 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: 4ecae03ef8606627bc55916d1e0b872978820e00462747b3374926ef212b388b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8b1d45369dde480fe6d9e19db9ccce989e85508e61a87746766029cb363303",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-16T15:29:09Z",
    "title_canon_sha256": "1067532aed4a462968e9bf4b6c8c6b8467e73f08f703b789fd9f9138e7edce44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4044",
    "kind": "arxiv",
    "version": 2
  }
}