pith. sign in
Pith Number

pith:DBM4UYYW

pith:2012:DBM4UYYWZYBUKOV4465DUIR2R6
not attested not anchored not stored refs pending

Gravitation in the Microcanonical Ensemble: Appropriate Scaling Leading to Extensivity and Thermalization

Angel Alastuey, Maxime Champion, Stefano Ruffo, Thierry Dauxois

arxiv:1210.5592 v1 · 2012-10-20 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DBM4UYYWZYBUKOV4465DUIR2R6}

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 2026-05-18T02:20:10.965946Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1859ca6316ce03453abce7ba3a223a8f9e4fd78a01365900ee6fa81c0182eb9e

Aliases

arxiv: 1210.5592 · arxiv_version: 1210.5592v1 · doi: 10.48550/arxiv.1210.5592 · pith_short_12: DBM4UYYWZYBU · pith_short_16: DBM4UYYWZYBUKOV4 · pith_short_8: DBM4UYYW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DBM4UYYWZYBUKOV4465DUIR2R6 \
  | 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: 1859ca6316ce03453abce7ba3a223a8f9e4fd78a01365900ee6fa81c0182eb9e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "895c809c166f74a2ac01913ead7df738742d3602ec9d61de0a317e447e029444",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-10-20T09:08:11Z",
    "title_canon_sha256": "cdddcbea64a46810f323c79661802295f5e6c4f580735908fa5277cebf888289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5592",
    "kind": "arxiv",
    "version": 1
  }
}