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Pith Number

pith:HQDLZUS4

pith:2012:HQDLZUS4N4Q6OKIAO5GCNAAHQ2
not attested not anchored not stored refs pending

Entropy production from stochastic dynamics in discrete full phase space

Ian J. Ford, Richard E. Spinney

arxiv:1204.4822 v2 · 2012-04-21 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HQDLZUS4N4Q6OKIAO5GCNAAHQ2}

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 2026-05-18T03:22:41.912789Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3c06bcd25c6f21e72900774c268007869060a0b9cd749bc46b4b8416c31b9a0a

Aliases

arxiv: 1204.4822 · arxiv_version: 1204.4822v2 · doi: 10.48550/arxiv.1204.4822 · pith_short_12: HQDLZUS4N4Q6 · pith_short_16: HQDLZUS4N4Q6OKIA · pith_short_8: HQDLZUS4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HQDLZUS4N4Q6OKIAO5GCNAAHQ2 \
  | 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: 3c06bcd25c6f21e72900774c268007869060a0b9cd749bc46b4b8416c31b9a0a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "56a6ac31e0a3665465dd425006c4d48798e2346c83461de80dc2f96f320737a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-04-21T15:44:20Z",
    "title_canon_sha256": "81342ace24ee133514442375757ba4cc2ca0842fe503e7aa2660a95ce2ad5a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4822",
    "kind": "arxiv",
    "version": 2
  }
}