Pith Number

pith:K6HPJ65B

pith:2002:K6HPJ65BF3W7AVRXC4L6AFQVBX

not attested not anchored not stored refs pending

Proof of the Ergodic Hypothesis for Typical Hard Ball Systems

Nandor Simanyi

arxiv:math/0210280 v2 · 2002-10-17 · 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{K6HPJ65BF3W7AVRXC4L6AFQVBX}

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	2026-05-18T04:42:22.477993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578ef4fba12eedf056371717e016150de8c0a08ccdbd36c9f9292d08a9f3938e

Aliases

arxiv: math/0210280 · arxiv_version: math/0210280v2 · doi: 10.48550/arxiv.math/0210280 · pith_short_12: K6HPJ65BF3W7 · pith_short_16: K6HPJ65BF3W7AVRX · pith_short_8: K6HPJ65B

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/K6HPJ65BF3W7AVRXC4L6AFQVBX \
  | 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: 578ef4fba12eedf056371717e016150de8c0a08ccdbd36c9f9292d08a9f3938e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149e356ea8a712aee98daebbb20021eae551898dd1f9b46b3f131c7b07864b69",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2002-10-17T23:36:25Z",
    "title_canon_sha256": "d8c20fa3f9b1b87fc3c0846848c4efe3a7df360b25e957cb357d0e2f99ae7eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210280",
    "kind": "arxiv",
    "version": 2
  }
}