Pith Number

pith:PJ6AT7UV

pith:2017:PJ6AT7UVAV4YTF2NEDVEL2K7FD

not attested not anchored not stored refs pending

Universality of the Route to Chaos -- Exact Analysis

Ken-ichi Okubo, Ken Umeno

arxiv:1708.00692 v1 · 2017-08-02 · 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{PJ6AT7UVAV4YTF2NEDVEL2K7FD}

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	2026-05-18T00:38:44.940480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7c09fe95057989974d20ea45e95f28ec8b991c27bcde80df5cf64179dffd64

Aliases

arxiv: 1708.00692 · arxiv_version: 1708.00692v1 · doi: 10.48550/arxiv.1708.00692 · pith_short_12: PJ6AT7UVAV4Y · pith_short_16: PJ6AT7UVAV4YTF2N · pith_short_8: PJ6AT7UV

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/PJ6AT7UVAV4YTF2NEDVEL2K7FD \
  | 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: 7a7c09fe95057989974d20ea45e95f28ec8b991c27bcde80df5cf64179dffd64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6ad01854befd34b668561ebece8c24230039b1b2e39fb947eff02e63de51a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2017-08-02T10:39:42Z",
    "title_canon_sha256": "4877508d4a170d90cb3dca096c2a77f0ec39fd9fbfb5fca79c0ac09324dc14aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00692",
    "kind": "arxiv",
    "version": 1
  }
}