Pith Number

pith:53TPK7RU

pith:2012:53TPK7RUVMK3U7ORJ2DKUDUFVY

not attested not anchored not stored refs pending

Kullback-Leibler quantum divergence as an indicator of quantum chaos

A. Kowalewska-Kud{\l}aszyk, J. K. Kalaga, V. Cao Long, W. Leo\'nski

arxiv:1203.6774 v1 · 2012-03-30 · quant-ph · nlin.CD · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53TPK7RUVMK3U7ORJ2DKUDUFVY}

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	2026-05-18T03:58:52.314701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee6f57e34ab15ba7dd14e86aa0e85ae227a83e43d327dcf2df8e9e9f73af536

Aliases

arxiv: 1203.6774 · arxiv_version: 1203.6774v1 · doi: 10.48550/arxiv.1203.6774 · pith_short_12: 53TPK7RUVMK3 · pith_short_16: 53TPK7RUVMK3U7OR · pith_short_8: 53TPK7RU

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/53TPK7RUVMK3U7ORJ2DKUDUFVY \
  | 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: eee6f57e34ab15ba7dd14e86aa0e85ae227a83e43d327dcf2df8e9e9f73af536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e93755e053db2dd7336b0e86e89be033eb78e49a8ba3427f4b5d270c4ef75a",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-30T11:40:53Z",
    "title_canon_sha256": "a85b83c2301dd6a69f82671ce09786eb5256e4a7efe70ff7c33605bba45aac23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6774",
    "kind": "arxiv",
    "version": 1
  }
}