Pith Number

pith:46VSEBKE

pith:2003:46VSEBKE5CGVNECQCVCCU76NWC

not attested not anchored not stored refs pending

Canonical Decompositions of n-qubit Quantum Computations and Concurrence

Gavin K. Brennen, Stephen S. Bullock

arxiv:quant-ph/0309104 v3 · 2003-09-12 · 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{46VSEBKE5CGVNECQCVCCU76NWC}

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	2026-05-18T01:37:59.101727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ab220544e88d56905015442a7fcdb0a5daf8b85d21cbda5c522b3db18a6920

Aliases

arxiv: quant-ph/0309104 · arxiv_version: quant-ph/0309104v3 · doi: 10.48550/arxiv.quant-ph/0309104 · pith_short_12: 46VSEBKE5CGV · pith_short_16: 46VSEBKE5CGVNECQ · pith_short_8: 46VSEBKE

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/46VSEBKE5CGVNECQCVCCU76NWC \
  | 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: e7ab220544e88d56905015442a7fcdb0a5daf8b85d21cbda5c522b3db18a6920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6abb4fb9fb72f282cbe46d4e81bc92814b7559e13bed9b9a4e71664e249e27f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-12T13:08:35Z",
    "title_canon_sha256": "1eec573b343ace134b80e754891d388c11a1fa357d6ae7e373a708980fa02308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309104",
    "kind": "arxiv",
    "version": 3
  }
}