Pith Number

pith:EO4IPBAJ

pith:1997:EO4IPBAJKPCCKDCMO7LOSD36KG

not attested not anchored not stored refs pending

Chaos and Lyapunov exponents in classical and quantal distribution dynamics

Arjendu K. Pattanayak, Paul Brumer

arxiv:chao-dyn/9708003 v1 · 1997-08-05 · chao-dyn · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EO4IPBAJKPCCKDCMO7LOSD36KG}

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	2026-07-04T16:03:35.950027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b887840953c4250c4c77d6e90f7e519edcea5679ee92a0135fb24e243f0269

Aliases

arxiv: chao-dyn/9708003 · arxiv_version: chao-dyn/9708003v1 · doi: 10.48550/arxiv.chao-dyn/9708003 · pith_short_12: EO4IPBAJKPCC · pith_short_16: EO4IPBAJKPCCKDCM · pith_short_8: EO4IPBAJ

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/EO4IPBAJKPCCKDCMO7LOSD36KG \
  | 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: 23b887840953c4250c4c77d6e90f7e519edcea5679ee92a0135fb24e243f0269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0801558eb4cceb18b9d684e62b7767929d3af24f1743ec034d13c3b49eb9bdee",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1997-08-05T16:37:39Z",
    "title_canon_sha256": "c3acc0664598983641480d48d9be65ba78bc7b621b932ebd97e5e5d9a63f1dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9708003",
    "kind": "arxiv",
    "version": 1
  }
}