Pith Number

pith:PIPVLWXO

pith:1996:PIPVLWXO4VL2STNC6B46BP22E5

not attested not anchored not stored refs pending

Quantum-Classical Correspondence via Liouville Dynamics: I. Integrable Systems and the Chaotic Spectral Decomposition

Department of Chemistry, Joshua Wilkie, Paul Brumer (Chemical Physics Theory Group, University of Toronto)

arxiv:chao-dyn/9608013 v1 · 1996-08-15 · 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{PIPVLWXO4VL2STNC6B46BP22E5}

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	2026-07-04T16:00:24.157446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1f55daeee557a94da2f079e0bf5a276c744027eed4dbc8859a69209cde8375

Aliases

arxiv: chao-dyn/9608013 · arxiv_version: chao-dyn/9608013v1 · doi: 10.48550/arxiv.chao-dyn/9608013 · pith_short_12: PIPVLWXO4VL2 · pith_short_16: PIPVLWXO4VL2STNC · pith_short_8: PIPVLWXO

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/PIPVLWXO4VL2STNC6B46BP22E5 \
  | 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: 7a1f55daeee557a94da2f079e0bf5a276c744027eed4dbc8859a69209cde8375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b22ff57056319cc534859b6f3b533ec84b8fd98a023b965552927c9afe676c9",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1996-08-15T14:28:58Z",
    "title_canon_sha256": "b9bf81fea07e6a07e2ee0ad9af147d65c9b17dba98ca99bb6c5ef246bc4c2689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9608013",
    "kind": "arxiv",
    "version": 1
  }
}