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Pith Number

pith:YVMFPMTZ

pith:2012:YVMFPMTZIFTV6CX4JPIFLKQS2H
not attested not anchored not stored refs pending

Micro-canonical thermodynamics: Why does heat flow from hot to cold

Hans Henrik Rugh

arxiv:1202.2526 v2 · 2012-02-12 · cond-mat.stat-mech · math.DS · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YVMFPMTZIFTV6CX4JPIFLKQS2H}

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 2026-05-18T03:58:13.736319Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c55857b27941675f0afc4bd055aa12d1f72a7b417978a1347155730dec0aaf06

Aliases

arxiv: 1202.2526 · arxiv_version: 1202.2526v2 · doi: 10.48550/arxiv.1202.2526 · pith_short_12: YVMFPMTZIFTV · pith_short_16: YVMFPMTZIFTV6CX4 · pith_short_8: YVMFPMTZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YVMFPMTZIFTV6CX4JPIFLKQS2H \
  | 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: c55857b27941675f0afc4bd055aa12d1f72a7b417978a1347155730dec0aaf06
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "17e27d359337d842358c718655b30c78e054c2a43c27310d48415cfa2c258c1b",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-02-12T13:11:08Z",
    "title_canon_sha256": "6ab0b83cefcc943e8ef8dcda72e685d764521b67ffd070e0868973947eaad69b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2526",
    "kind": "arxiv",
    "version": 2
  }
}