Pith Number

pith:FBZKFQ5K

pith:2015:FBZKFQ5KEDFW35DC4PZXKEKK4M

not attested not anchored not stored refs pending

Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems

Hal Tasaki

arxiv:1507.06479 v4 · 2015-07-23 · cond-mat.stat-mech · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBZKFQ5KEDFW35DC4PZXKEKK4M}

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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	2026-05-18T00:09:10.513417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2872a2c3aa20cb6df462e3f375114ae324dbb38512e4727debae18d99e5df353

Aliases

arxiv: 1507.06479 · arxiv_version: 1507.06479v4 · doi: 10.48550/arxiv.1507.06479 · pith_short_12: FBZKFQ5KEDFW · pith_short_16: FBZKFQ5KEDFW35DC · pith_short_8: FBZKFQ5K

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/FBZKFQ5KEDFW35DC4PZXKEKK4M \
  | 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: 2872a2c3aa20cb6df462e3f375114ae324dbb38512e4727debae18d99e5df353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c01a19ba210cce035f91a278b354fe0a8ab6b1bb1d124044e600a213b53a18",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-23T12:58:04Z",
    "title_canon_sha256": "e5364aa44f32cb514e2d607553973ff6070fd986d73e50b8b4a7deaddb52e155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06479",
    "kind": "arxiv",
    "version": 4
  }
}