Pith Number

pith:BGWYNGZ3

pith:2005:BGWYNGZ3BKQKK3JDWVBXO4YGVS

not attested not anchored not stored refs pending

On the Matrix Representation of Quantum Operations

Kazuo Nakamura, Yoshihiro Nambu

arxiv:quant-ph/0504091 v1 · 2005-04-12 · 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{BGWYNGZ3BKQKK3JDWVBXO4YGVS}

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	2026-07-04T14:46:57.306048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ad869b3b0aa0a56d23b543777306acadae44cdfe28d4f1c2b20cde6cfde372

Aliases

arxiv: quant-ph/0504091 · arxiv_version: quant-ph/0504091v1 · doi: 10.48550/arxiv.quant-ph/0504091 · pith_short_12: BGWYNGZ3BKQK · pith_short_16: BGWYNGZ3BKQKK3JD · pith_short_8: BGWYNGZ3

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/BGWYNGZ3BKQKK3JDWVBXO4YGVS \
  | 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: 09ad869b3b0aa0a56d23b543777306acadae44cdfe28d4f1c2b20cde6cfde372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12750402801533f40b1b63868307cd66b9129c8b7927d626936660662a3cfdca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-04-12T11:40:46Z",
    "title_canon_sha256": "8f0accf62986f2e171e76d6bcdf5d36027acf0f1c598641f7874f5bc11468a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0504091",
    "kind": "arxiv",
    "version": 1
  }
}