Pith Number

pith:EC5HYYQI

pith:2004:EC5HYYQIADXILISYJYWUNGKVU6

not attested not anchored not stored refs pending

Quantum Variance and Ergodicity for the baker's map

Brian Winn (BOLOGNA), Mirko Degli Esposti (BOLOGNA), St\'ephane Nonnenmacher (SPhT)

arxiv:math-ph/0412058 v3 · 2004-12-16 · 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{EC5HYYQIADXILISYJYWUNGKVU6}

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	2026-05-18T01:08:53.275500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ba7c620800ee85a2584e2d469955a789dc9f22d0821c6dbfc14beee5f2f652

Aliases

arxiv: math-ph/0412058 · arxiv_version: math-ph/0412058v3 · doi: 10.48550/arxiv.math-ph/0412058 · pith_short_12: EC5HYYQIADXI · pith_short_16: EC5HYYQIADXILISY · pith_short_8: EC5HYYQI

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/EC5HYYQIADXILISYJYWUNGKVU6 \
  | 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: 20ba7c620800ee85a2584e2d469955a789dc9f22d0821c6dbfc14beee5f2f652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd75ef30fb8ade2913a453b9f553d4faa9fd4e22ae897c84c1028ea095ba3306",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-16T14:17:47Z",
    "title_canon_sha256": "d4f07b445cb12ac0caf97a4ca08ce5a9e3f490856b1c5e83c4a876cbe06931d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412058",
    "kind": "arxiv",
    "version": 3
  }
}