Pith Number

pith:5UN4I6FI

pith:2002:5UN4I6FI3T2XKLNA3KDMCKOY54

not attested not anchored not stored refs pending

First Order Phase Transition and Phase Coexistence in a Spin-Glass Model

Andrea Crisanti, Luca Leuzzi

arxiv:cond-mat/0204349 v3 · 2002-04-16 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UN4I6FI3T2XKLNA3KDMCKOY54}

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	2026-05-18T01:06:59.710387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1bc478a8dcf5752da0da86c129d8ef191e0d685de2d2848edc495e9c9205c1

Aliases

arxiv: cond-mat/0204349 · arxiv_version: cond-mat/0204349v3 · doi: 10.48550/arxiv.cond-mat/0204349 · pith_short_12: 5UN4I6FI3T2X · pith_short_16: 5UN4I6FI3T2XKLNA · pith_short_8: 5UN4I6FI

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/5UN4I6FI3T2XKLNA3KDMCKOY54 \
  | 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: ed1bc478a8dcf5752da0da86c129d8ef191e0d685de2d2848edc495e9c9205c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53dfb3bd9300e72f6eea859cfad95d6c9a078cca9198faaaed0d0f8ccb28932f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-04-16T16:04:19Z",
    "title_canon_sha256": "ea187b5d2795201912ee9d1879cc5036e0c819742c40a5fca0a897f1926159e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0204349",
    "kind": "arxiv",
    "version": 3
  }
}