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Pith Number

pith:UNH75VF3

pith:2009:UNH75VF3UXLN2SDDZ5E5I4XBZW
not attested not anchored not stored refs pending

Information Conservation, Entropy Increase and the Statistical Irreversibility for an Isolated System

Qi-Ren Zhang

arxiv:0902.0870 v1 · 2009-02-05 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UNH75VF3UXLN2SDDZ5E5I4XBZW}

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 2026-05-18T04:01:49.878499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a34ffed4bba5d6dd4863cf49d472e1cd9a7e2a46dcca74454ae6fb018593bef2

Aliases

arxiv: 0902.0870 · arxiv_version: 0902.0870v1 · doi: 10.48550/arxiv.0902.0870 · pith_short_12: UNH75VF3UXLN · pith_short_16: UNH75VF3UXLN2SDD · pith_short_8: UNH75VF3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UNH75VF3UXLN2SDDZ5E5I4XBZW \
  | 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: a34ffed4bba5d6dd4863cf49d472e1cd9a7e2a46dcca74454ae6fb018593bef2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8938ec8011f894c70c89620a16041a8bc471e1d873755b1c1059086b70c02888",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-02-05T09:32:41Z",
    "title_canon_sha256": "9445720687b8ac865722f048455e2065726307117af97b50b708149bbe74ce56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0870",
    "kind": "arxiv",
    "version": 1
  }
}