Pith Number

pith:CGBXIPR3

pith:2006:CGBXIPR3CRN5XP4KISTMRKSKKG

not attested not anchored not stored refs pending

Quantum Bi-Hamiltonian Systems

Giuseppe Marmo, Janusz Grabowski, Jos\'e F. Cari\~nena

arxiv:math-ph/0610011 v1 · 2006-10-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGBXIPR3CRN5XP4KISTMRKSKKG}

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	2026-05-18T00:53:51.898965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1183743e3b145bdbbf8a44a6c8aa4a51975d58fabbfdc4b1d60aca4d56468bfa

Aliases

arxiv: math-ph/0610011 · arxiv_version: math-ph/0610011v1 · doi: 10.48550/arxiv.math-ph/0610011 · pith_short_12: CGBXIPR3CRN5 · pith_short_16: CGBXIPR3CRN5XP4K · pith_short_8: CGBXIPR3

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/CGBXIPR3CRN5XP4KISTMRKSKKG \
  | 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: 1183743e3b145bdbbf8a44a6c8aa4a51975d58fabbfdc4b1d60aca4d56468bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bef49e01e39cf2e8cfe05035c68a5bcf45248adff08f375c0beaf59a2ad0a87",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-10-06T09:32:39Z",
    "title_canon_sha256": "1b6cdc5b986324115697b0770a660b06fa6919ef88b465fe0e01505ce126139f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0610011",
    "kind": "arxiv",
    "version": 1
  }
}