pith. sign in
Pith Number

pith:YH55BRHV

pith:2004:YH55BRHV5INCGYCRBZQJT4MRQM
not attested not anchored not stored refs pending

The Lorenz attractor is mixing

Frederic Paccaut, Ian Melbourne, Stefano Luzzatto

arxiv:math/0410231 v1 · 2004-10-08 · math.DS · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YH55BRHV5INCGYCRBZQJT4MRQM}

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 2026-05-18T03:41:21.708431Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c1fbd0c4f5ea1a2360510e6099f191831efd9ac94ba2959d7d2b8299fe4ee384

Aliases

arxiv: math/0410231 · arxiv_version: math/0410231v1 · doi: 10.48550/arxiv.math/0410231 · pith_short_12: YH55BRHV5INC · pith_short_16: YH55BRHV5INCGYCR · pith_short_8: YH55BRHV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YH55BRHV5INCGYCRBZQJT4MRQM \
  | 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: c1fbd0c4f5ea1a2360510e6099f191831efd9ac94ba2959d7d2b8299fe4ee384
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4f8c5086b0f59af9a5df673c08c7f4ec35fabd6667262d705d13890749764fa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-10-08T15:56:31Z",
    "title_canon_sha256": "c9e7dd7fe318fe4ab99b6be0b83a0a5fc605928572849198d6400dbb0ff75ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410231",
    "kind": "arxiv",
    "version": 1
  }
}