Pith Number

pith:CGCT6MGM

pith:2007:CGCT6MGMEKCYDVKME3IKIVK723

not attested not anchored not stored refs pending

Quantum entropy dynamics for chaotic systems beyond the classical limit

Arjendu K. Pattanayak, Arnaldo Gammal

arxiv:quant-ph/0702158 v1 · 2007-02-15 · 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{CGCT6MGMEKCYDVKME3IKIVK723}

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	2026-07-04T14:59:33.941931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11853f30cc228581d54c26d0a4555fd6f8cca7ff688104aad9a5225b2d6ef5b4

Aliases

arxiv: quant-ph/0702158 · arxiv_version: quant-ph/0702158v1 · doi: 10.48550/arxiv.quant-ph/0702158 · pith_short_12: CGCT6MGMEKCY · pith_short_16: CGCT6MGMEKCYDVKM · pith_short_8: CGCT6MGM

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/CGCT6MGMEKCYDVKME3IKIVK723 \
  | 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: 11853f30cc228581d54c26d0a4555fd6f8cca7ff688104aad9a5225b2d6ef5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adf10d781705567d5f130dd62a4c97301296acb7c4cd49fdd6bc6b5f934daa2e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-02-15T17:48:42Z",
    "title_canon_sha256": "5358d96bcbde8f2ea3a29b151d5e1a831ff8436b226d73a1c57d4df1f6010386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702158",
    "kind": "arxiv",
    "version": 1
  }
}