Pith Number

pith:ISCS7OF5

pith:1994:ISCS7OF5KJ2YEAP3IYVG727B7A

not attested not anchored not stored refs pending

Measures with infinite Lyapunov exponents for the periodic Lorentz gas

N. I. Chernov, Serge Troubetzkoy

arxiv:math/9411237 v1 · 1994-11-03 · 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{ISCS7OF5KJ2YEAP3IYVG727B7A}

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	2026-05-18T01:05:50.781442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44852fb8bd52758201fb462a6febe1f81d9cb23d92c67ef5eb0b1a61ba0dc119

Aliases

arxiv: math/9411237 · arxiv_version: math/9411237v1 · doi: 10.48550/arxiv.math/9411237 · pith_short_12: ISCS7OF5KJ2Y · pith_short_16: ISCS7OF5KJ2YEAP3 · pith_short_8: ISCS7OF5

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/ISCS7OF5KJ2YEAP3IYVG727B7A \
  | 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: 44852fb8bd52758201fb462a6febe1f81d9cb23d92c67ef5eb0b1a61ba0dc119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1eb481d67e7613c488d0d42215ebfbe75bd950f9950c9f6574bf2265ab8adb9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1994-11-03T00:00:00Z",
    "title_canon_sha256": "736d7f250f29ca8e77b3f4c8d8a453eed16eaa0c234ac1988dfbea19752da83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9411237",
    "kind": "arxiv",
    "version": 1
  }
}