Pith Number

pith:DGAKJPOC

pith:2000:DGAKJPOCLCDBD7IBQBXH52OLK7

not attested not anchored not stored refs pending

Proof of the Boltzmann-Sinai Ergodic Hypothesis for Typical Hard Disk Systems

Nandor Simanyi

arxiv:math/0008241 v4 · 2000-08-31 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGAKJPOCLCDBD7IBQBXH52OLK7}

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	2026-05-18T04:42:22.514806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1980a4bdc2588611fd01806e7ee9cb57ed961b9b56f96fffd296ff2ba55602fb

Aliases

arxiv: math/0008241 · arxiv_version: math/0008241v4 · doi: 10.48550/arxiv.math/0008241 · pith_short_12: DGAKJPOCLCDB · pith_short_16: DGAKJPOCLCDBD7IB · pith_short_8: DGAKJPOC

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/DGAKJPOCLCDBD7IBQBXH52OLK7 \
  | 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: 1980a4bdc2588611fd01806e7ee9cb57ed961b9b56f96fffd296ff2ba55602fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975ca268ee395cf7ffb474b46fca93c598840edf8ac6ab4f9631ff519d833638",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2000-08-31T20:04:43Z",
    "title_canon_sha256": "c7e435225fe11cfe5130df778e596588c398176dc5d7368f3b04d025b339ee22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008241",
    "kind": "arxiv",
    "version": 4
  }
}