Pith Number

pith:7BLKEBTB

pith:2011:7BLKEBTBENJ43VADMOHN7WYSMM

not attested not anchored not stored refs pending

Improving Quantum Query Complexity of Boolean Matrix Multiplication Using Graph Collision

Fr\'ed\'eric Magniez, Robin Kothari, Stacey Jeffery

arxiv:1112.5855 v2 · 2011-12-26 · 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{7BLKEBTBENJ43VADMOHN7WYSMM}

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	2026-05-18T02:31:12.402748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f856a206612353cdd403638edfdb12630145ebce67ad2ce8cec61d7537755cc3

Aliases

arxiv: 1112.5855 · arxiv_version: 1112.5855v2 · doi: 10.48550/arxiv.1112.5855 · pith_short_12: 7BLKEBTBENJ4 · pith_short_16: 7BLKEBTBENJ43VAD · pith_short_8: 7BLKEBTB

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/7BLKEBTBENJ43VADMOHN7WYSMM \
  | 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: f856a206612353cdd403638edfdb12630145ebce67ad2ce8cec61d7537755cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33321bbd0d30c7062af07851c508498c006aacdd94bb3e93af5a68ca5017043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-26T13:29:23Z",
    "title_canon_sha256": "dd62f30f1d14255b8d582c7cf99263d8a2ecede049db0c27ff17faf7acc97a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5855",
    "kind": "arxiv",
    "version": 2
  }
}