Pith Number

pith:VI6YGL4J

pith:2015:VI6YGL4J42QL2GBELOV73ELD76

not attested not anchored not stored refs pending

Exact Lyapunov exponents of the generalized Boole transformations

Ken-ichi Okubo, Ken Umeno

arxiv:1510.08569 v3 · 2015-10-29 · 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{VI6YGL4J42QL2GBELOV73ELD76}

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	2026-05-18T01:12:17.075357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3d832f89e6a0bd18245babfd9163ffaa488e04838859a906d70ef7e7919b70

Aliases

arxiv: 1510.08569 · arxiv_version: 1510.08569v3 · doi: 10.48550/arxiv.1510.08569 · pith_short_12: VI6YGL4J42QL · pith_short_16: VI6YGL4J42QL2GBE · pith_short_8: VI6YGL4J

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/VI6YGL4J42QL2GBELOV73ELD76 \
  | 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: aa3d832f89e6a0bd18245babfd9163ffaa488e04838859a906d70ef7e7919b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d04fdf2d5809fbdc7dbed04fd61026b7d1503d7ce73fe4ce79c253bcb37503f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2015-10-29T05:49:40Z",
    "title_canon_sha256": "4fa0db69c057b84dd83d002b81bde040a2a72dbe0a90fc82cf384ed5d923150f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08569",
    "kind": "arxiv",
    "version": 3
  }
}