Pith Number

pith:JMLB3G22

pith:1995:JMLB3G22MEPKDLP4ZDW6QQUUI3

not attested not anchored not stored refs pending

Chaos for Liouville probability densities

C. M. Caves (University of New Mexico), R. Schack

arxiv:chao-dyn/9506002 v1 · 1995-06-05 · chao-dyn · 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{JMLB3G22MEPKDLP4ZDW6QQUUI3}

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	2026-05-18T01:07:24.897407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b161d9b5a611ea1adfcc8ede8429446ed688d8f9db8b1faf03d1d1dd57bf53d

Aliases

arxiv: chao-dyn/9506002 · arxiv_version: chao-dyn/9506002v1 · doi: 10.48550/arxiv.chao-dyn/9506002 · pith_short_12: JMLB3G22MEPK · pith_short_16: JMLB3G22MEPKDLP4 · pith_short_8: JMLB3G22

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/JMLB3G22MEPKDLP4ZDW6QQUUI3 \
  | 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: 4b161d9b5a611ea1adfcc8ede8429446ed688d8f9db8b1faf03d1d1dd57bf53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffb3b06aea995d971a74463f7890043eab1b34b7284895f9137ae1141ed0b6e",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1995-06-05T16:27:30Z",
    "title_canon_sha256": "a40ab3085d5b476f3dda75ed37127a7e39a59b5400bc7eca2232ee50d69faa17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9506002",
    "kind": "arxiv",
    "version": 1
  }
}