Pith Number

pith:3U6H7WFU

pith:2002:3U6H7WFUNKDMHSVTKIMCSA5YPI

not attested not anchored not stored refs pending

Scaling Dynamics of a Massive Piston in a Cube Filled With Ideal Gas: Exact Results

J. L. Lebowitz, N. Chernov, Ya. Sinai

arxiv:cond-mat/0212637 v1 · 2002-12-30 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U6H7WFUNKDMHSVTKIMCSA5YPI}

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	2026-05-18T01:40:02.193435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b

Aliases

arxiv: cond-mat/0212637 · arxiv_version: cond-mat/0212637v1 · doi: 10.48550/arxiv.cond-mat/0212637 · pith_short_12: 3U6H7WFUNKDM · pith_short_16: 3U6H7WFUNKDMHSVT · pith_short_8: 3U6H7WFU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI \
  | 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: dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5b6f93482055d478abaa7426957296960b6b3559ba0704f10aff1998cdedb2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-12-30T21:20:06Z",
    "title_canon_sha256": "bd749b19e2b9275051750d469df212ac41bc205a3016a62366e76426e2f15144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0212637",
    "kind": "arxiv",
    "version": 1
  }
}