Pith Number

pith:SGPRC2YH

pith:2008:SGPRC2YHN4MPBWM34RBGJM2W3V

not attested not anchored not stored refs pending

Quantum mechanical evolution towards thermal equilibrium

Andreas Winter, Anthony J. Short, Noah Linden, Sandu Popescu

arxiv:0812.2385 v1 · 2008-12-12 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGPRC2YHN4MPBWM34RBGJM2W3V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:39:16.403185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919f116b076f18f0d99be44264b356dd6a4ae2f17cb30655ae0c03c951230759

Aliases

arxiv: 0812.2385 · arxiv_version: 0812.2385v1 · doi: 10.48550/arxiv.0812.2385 · pith_short_12: SGPRC2YHN4MP · pith_short_16: SGPRC2YHN4MPBWM3 · pith_short_8: SGPRC2YH

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/SGPRC2YHN4MPBWM34RBGJM2W3V \
  | 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: 919f116b076f18f0d99be44264b356dd6a4ae2f17cb30655ae0c03c951230759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffbc4f9ff4dda3b6164b274d44320cbd366fd3a1c2305728b15bce8f168a3b9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-12-12T14:36:34Z",
    "title_canon_sha256": "4fed055c43f1675a46c21c9ec967d7aa166ac93a5963a71f4957de615e72d783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2385",
    "kind": "arxiv",
    "version": 1
  }
}