pith. sign in
Pith Number

pith:O4LFGLIV

pith:2009:O4LFGLIVLRQMZWPD6RE2BXCO27
not attested not anchored not stored refs pending

Thermodynamic first order transition and inverse freezing in a 3D spin-glass

Andrea Crisanti, Luca Leuzzi, Matteo Paoluzzi

arxiv:0911.1152 v2 · 2009-11-05 · cond-mat.dis-nn · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O4LFGLIVLRQMZWPD6RE2BXCO27}

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 2026-05-18T04:24:43.931326Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7716532d155c60ccd9e3f449a0dc4ed7dc573859ff2356b9d548c02f2b36ef40

Aliases

arxiv: 0911.1152 · arxiv_version: 0911.1152v2 · doi: 10.48550/arxiv.0911.1152 · pith_short_12: O4LFGLIVLRQM · pith_short_16: O4LFGLIVLRQMZWPD · pith_short_8: O4LFGLIV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O4LFGLIVLRQMZWPD6RE2BXCO27 \
  | 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: 7716532d155c60ccd9e3f449a0dc4ed7dc573859ff2356b9d548c02f2b36ef40
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ee9e48e48776e9254ed8c57d94c6379ccd7ec03a6db59122dc7d57ebc6c8383d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2009-11-05T23:53:22Z",
    "title_canon_sha256": "2245e7ee34ff0128c0e79855909c3fe9dc0509462816cb5173a7cd065307fc3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1152",
    "kind": "arxiv",
    "version": 2
  }
}