Pith Number

pith:ITK2Y3SI

pith:2022:ITK2Y3SI7BKFLR67D5ZPYFNFE7

not attested not anchored not stored refs pending

Asymptotic Equipartition Theorems in von Neumann algebras

Li Gao, Mizanur Rahaman, Omar Fawzi

arxiv:2212.14700 v3 · 2022-12-30 · quant-ph · math-ph · math.FA · math.MP · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITK2Y3SI7BKFLR67D5ZPYFNFE7}

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	2026-07-05T10:52:35.477732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d5ac6e48f85455c7df1f72fc15a527e853193d235ad1db0697a9ca8922fb38

Aliases

arxiv: 2212.14700 · arxiv_version: 2212.14700v3 · doi: 10.48550/arxiv.2212.14700 · pith_short_12: ITK2Y3SI7BKF · pith_short_16: ITK2Y3SI7BKFLR67 · pith_short_8: ITK2Y3SI

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/ITK2Y3SI7BKFLR67D5ZPYFNFE7 \
  | 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: 44d5ac6e48f85455c7df1f72fc15a527e853193d235ad1db0697a9ca8922fb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d48ed795fb5b67f25db67759237776803f228646d5759b50adb3affe9655076",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-12-30T13:42:35Z",
    "title_canon_sha256": "bfe034746a997577d73f009a51c08fd34eb0922053f119a8ccf5f32ad5bea15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14700",
    "kind": "arxiv",
    "version": 3
  }
}