Pith Number

pith:ZYT4QXJU

pith:2013:ZYT4QXJUT4DP7RAOT43XL64VPG

not attested not anchored not stored refs pending

Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps

I. Melbourne, P. Varandas, V. Araujo

arxiv:1311.5017 v5 · 2013-11-20 · math.DS · math-ph · math.CA · 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{ZYT4QXJUT4DP7RAOT43XL64VPG}

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	2026-05-18T00:57:05.144285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce27c85d349f06ffc40e9f3775fb9579b4e7728ffb13a3d9bf33d5ff58661566

Aliases

arxiv: 1311.5017 · arxiv_version: 1311.5017v5 · doi: 10.48550/arxiv.1311.5017 · pith_short_12: ZYT4QXJUT4DP · pith_short_16: ZYT4QXJUT4DP7RAO · pith_short_8: ZYT4QXJU

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/ZYT4QXJUT4DP7RAOT43XL64VPG \
  | 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: ce27c85d349f06ffc40e9f3775fb9579b4e7728ffb13a3d9bf33d5ff58661566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27ec9b938158545d7ce48744920f6f112aefef96c5a3e9b0ab0d92db2e69df3e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-20T11:16:46Z",
    "title_canon_sha256": "7203ec68c2dc00e194d4cd06ab2c557b7e8e8d074b438c514cb8ccc4f1135c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5017",
    "kind": "arxiv",
    "version": 5
  }
}