Pith Number

pith:AOCRDO2C

pith:2007:AOCRDO2CLWXFXZ5DVI7DYTNZZ4

not attested not anchored not stored refs pending

Thermodynamic and quantum entropy gain of frame averaging

Lajos Di\'osi

arxiv:0711.2822 v2 · 2007-11-19 · quant-ph · cond-mat.stat-mech · gr-qc · 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{AOCRDO2CLWXFXZ5DVI7DYTNZZ4}

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	2026-05-18T03:03:33.228096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038511bb425dae5be7a3aa3e3c4db9cf210ef863e93581461342b8ec80d4ba7d

Aliases

arxiv: 0711.2822 · arxiv_version: 0711.2822v2 · doi: 10.48550/arxiv.0711.2822 · pith_short_12: AOCRDO2CLWXF · pith_short_16: AOCRDO2CLWXFXZ5D · pith_short_8: AOCRDO2C

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/AOCRDO2CLWXFXZ5DVI7DYTNZZ4 \
  | 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: 038511bb425dae5be7a3aa3e3c4db9cf210ef863e93581461342b8ec80d4ba7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f465ef543f342e6f39292dfc8e78303b8aa3aa71ff2a57caffd35fa085f94f07",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-11-19T00:16:01Z",
    "title_canon_sha256": "7c68a6a70d6d99271279e5bd7a4c1882abbf66f86c1d2650ae32a2d3209367c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2822",
    "kind": "arxiv",
    "version": 2
  }
}