Pith Number

pith:XWWSXEU5

pith:2013:XWWSXEU5WV7KGG6NND4NXVU5M4

not attested not anchored not stored refs pending

A bifurcational geometric approach to the problem of chaos transition in the classical Lorenz system

Valery A. Gaiko

arxiv:1307.8315 v1 · 2013-07-28 · math.DS · math.CA · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWWSXEU5WV7KGG6NND4NXVU5M4}

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	2026-05-18T03:17:01.621820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdad2b929db57ea31bcd68f8dbd69d672ee3e26ed273b09d64805de1b95fefee

Aliases

arxiv: 1307.8315 · arxiv_version: 1307.8315v1 · doi: 10.48550/arxiv.1307.8315 · pith_short_12: XWWSXEU5WV7K · pith_short_16: XWWSXEU5WV7KGG6N · pith_short_8: XWWSXEU5

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/XWWSXEU5WV7KGG6NND4NXVU5M4 \
  | 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: bdad2b929db57ea31bcd68f8dbd69d672ee3e26ed273b09d64805de1b95fefee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5bc38c848f66dc341c1fc59f4bc9db61948a1fe0fb0a581c5f13d7c189b5ef0",
    "cross_cats_sorted": [
      "math.CA",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-28T07:59:47Z",
    "title_canon_sha256": "ddd74561c3de7e2ec2b9bbaccbe7433d3324bb66bf5e1ff39fb7ef8a33f84960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8315",
    "kind": "arxiv",
    "version": 1
  }
}