Pith Number

pith:O6SW4PHF

pith:2004:O6SW4PHF3HJDOO4MKODH4BQXUW

not attested not anchored not stored refs pending

Quantum Verification of Matrix Products

Harry Buhrman, Robert Spalek (CWI, U of Amsterdam)

arxiv:quant-ph/0409035 v2 · 2004-09-06 · 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{O6SW4PHF3HJDOO4MKODH4BQXUW}

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.

Cited by

1 paper in Pith

Universal Matrix Multiplication on Quantum Computer

Receipt and verification

First computed	2026-07-04T14:46:40.707872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a56e3ce5d9d2373b8c53867e0617a5a8d3a179335d8abd122dbf846a34e7a1

Aliases

arxiv: quant-ph/0409035 · arxiv_version: quant-ph/0409035v2 · doi: 10.48550/arxiv.quant-ph/0409035 · pith_short_12: O6SW4PHF3HJD · pith_short_16: O6SW4PHF3HJDOO4M · pith_short_8: O6SW4PHF

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/O6SW4PHF3HJDOO4MKODH4BQXUW \
  | 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: 77a56e3ce5d9d2373b8c53867e0617a5a8d3a179335d8abd122dbf846a34e7a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c46f32f0301362b97fa22ffcd937d61d6526babaf4bb986163313d4009fcb34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-06T13:37:37Z",
    "title_canon_sha256": "78f254c4f8615112da1a849a9d36dbacda9acfe49bf77005d58cc7e01d083c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409035",
    "kind": "arxiv",
    "version": 2
  }
}