Pith Number

pith:I6MH56NP

pith:2010:I6MH56NPVD4FPPB3GJC6IFKVVV

not attested not anchored not stored refs pending

The approach to thermal equilibrium and "thermodynamic normality" --- An observation based on the works by Goldstein, Lebowitz, Mastrodonato, Tumulka, and Zanghi in 2009, and by von Neumann in 1929

Hal Tasaki

arxiv:1003.5424 v4 · 2010-03-29 · quant-ph · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6MH56NPVD4FPPB3GJC6IFKVVV}

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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.

Cited by

2 papers in Pith

Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system

Macroscopic Irreversibility in Quantum Systems: Free Expansion in a Fermion Chain

Receipt and verification

First computed	2026-05-18T02:24:26.380052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47987ef9afa8f857bc3b3245e41555ad79bbde4d7f154e351a7d1004ceb7895c

Aliases

arxiv: 1003.5424 · arxiv_version: 1003.5424v4 · doi: 10.48550/arxiv.1003.5424 · pith_short_12: I6MH56NPVD4F · pith_short_16: I6MH56NPVD4FPPB3 · pith_short_8: I6MH56NP

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/I6MH56NPVD4FPPB3GJC6IFKVVV \
  | 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: 47987ef9afa8f857bc3b3245e41555ad79bbde4d7f154e351a7d1004ceb7895c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4436ba2e427513693319bdae65030efdfca5dedd176d21de48cb22a27b561d2c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-29T05:16:25Z",
    "title_canon_sha256": "c700b6197379ce2e5c841b10e73acf389137ffe5a5334fef2ab4e97eaf7c891f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5424",
    "kind": "arxiv",
    "version": 4
  }
}