Pith Number

pith:X76QBI7G

pith:2026:X76QBI7GXLEQIAEZF4O3EL64YE

not attested not anchored not stored refs pending

Second law of thermodynamics in closed quantum many-body systems

Akira Shimizu, Ryusuke Hamazaki, Yasushi Yoneta, Yuuya Chiba

arxiv:2602.06657 v2 · 2026-02-06 · cond-mat.stat-mech · 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{X76QBI7GXLEQIAEZF4O3EL64YE}

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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

Clifford Ergotropy

Receipt and verification

First computed	2026-06-30T02:17:15.541088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bffd00a3e6bac90400992f1db22fdcc1278bddca1f92aaabe0a217e99335b1f7

Aliases

arxiv: 2602.06657 · arxiv_version: 2602.06657v2 · doi: 10.48550/arxiv.2602.06657 · pith_short_12: X76QBI7GXLEQ · pith_short_16: X76QBI7GXLEQIAEZ · pith_short_8: X76QBI7G

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/X76QBI7GXLEQIAEZF4O3EL64YE \
  | 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: bffd00a3e6bac90400992f1db22fdcc1278bddca1f92aaabe0a217e99335b1f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe80c0c24320a7cb76d53351027c3b7c9361039b81641323775f812ddccdcea",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-02-06T12:30:45Z",
    "title_canon_sha256": "f5d6a07e0c7445dff620ceed638cb118c21a991e8edff8c21b3e4f4a44034d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06657",
    "kind": "arxiv",
    "version": 2
  }
}