Pith Number

pith:UQH6JEHV

pith:2002:UQH6JEHVGZ2BVF3L7RQFQGER6K

not attested not anchored not stored refs pending

Proving The Ergodic Hypothesis for Billiards With Disjoint Cylindric Scatterers

Nandor Simanyi

arxiv:math/0207223 v3 · 2002-07-24 · math.DS · 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{UQH6JEHVGZ2BVF3L7RQFQGER6K}

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	2026-05-18T04:42:22.490463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40fe490f536741a976bfc60581891f288d46bff07304573b64cc5a47ac723a3

Aliases

arxiv: math/0207223 · arxiv_version: math/0207223v3 · doi: 10.48550/arxiv.math/0207223 · pith_short_12: UQH6JEHVGZ2B · pith_short_16: UQH6JEHVGZ2BVF3L · pith_short_8: UQH6JEHV

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/UQH6JEHVGZ2BVF3L7RQFQGER6K \
  | 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: a40fe490f536741a976bfc60581891f288d46bff07304573b64cc5a47ac723a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c751274db26c75fc9d475dcfe1619e732c3b89550616178f4138e44258b342",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2002-07-24T20:38:46Z",
    "title_canon_sha256": "dcf1c89a6ab71e11dbf6459377c00b5667ee684b263909e42b459b35427608a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207223",
    "kind": "arxiv",
    "version": 3
  }
}