Pith Number

pith:YD2P2ZFX

pith:2004:YD2P2ZFXDLFTMPOT43V2V4LUUS

not attested not anchored not stored refs pending

The Boltzmann-Sinai Ergodic Hypothesis in Two Dimensions (Without Exceptional Models)

Nandor Simanyi

arxiv:math/0407368 v2 · 2004-07-22 · 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{YD2P2ZFXDLFTMPOT43V2V4LUUS}

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	2026-05-18T04:42:22.459017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f4fd64b71acb363dd3e6ebaaf174a4a6b7f8d786398a45ea78851a989d0285

Aliases

arxiv: math/0407368 · arxiv_version: math/0407368v2 · doi: 10.48550/arxiv.math/0407368 · pith_short_12: YD2P2ZFXDLFT · pith_short_16: YD2P2ZFXDLFTMPOT · pith_short_8: YD2P2ZFX

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/YD2P2ZFXDLFTMPOT43V2V4LUUS \
  | 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: c0f4fd64b71acb363dd3e6ebaaf174a4a6b7f8d786398a45ea78851a989d0285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc9adab50014c86a9d40818e351708bd751e92b564978d0f653d41f1b2d7955",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-07-22T03:27:47Z",
    "title_canon_sha256": "b5cca5c82472a804eef0f1d5408ada2e12341f114c56aa9be315cfd156448857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407368",
    "kind": "arxiv",
    "version": 2
  }
}