Pith Number

pith:VEPTIT5H

pith:2004:VEPTIT5HYIKPZOAHLXKMGTXSM5

not attested not anchored not stored refs pending

Improved Quantum Cost for n-bit Toffoli Gates

Dmitri Maslov, Gerhard W. Dueck

arxiv:quant-ph/0403053 v1 · 2004-03-05 · 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{VEPTIT5HYIKPZOAHLXKMGTXSM5}

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	2026-05-18T04:16:39.799777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91f344fa7c214fcb8075dd4c34ef2675576fbe7ed75a80dbb637c92ea5f9cb2

Aliases

arxiv: quant-ph/0403053 · arxiv_version: quant-ph/0403053v1 · doi: 10.48550/arxiv.quant-ph/0403053 · pith_short_12: VEPTIT5HYIKP · pith_short_16: VEPTIT5HYIKPZOAH · pith_short_8: VEPTIT5H

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/VEPTIT5HYIKPZOAHLXKMGTXSM5 \
  | 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: a91f344fa7c214fcb8075dd4c34ef2675576fbe7ed75a80dbb637c92ea5f9cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252eaf9acb47c6498b0264657bc30c41b0ed8c66722591d96fa4a5f2d277279c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-05T23:17:38Z",
    "title_canon_sha256": "e207654b2ea56bc6ede86b69e55c5dec8d1862db97b993cf03b29024cf38f430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403053",
    "kind": "arxiv",
    "version": 1
  }
}