Pith Number

pith:22CMZ4CH

pith:2002:22CMZ4CHQRTY7D3IQSOJY6PKRT

not attested not anchored not stored refs pending

Quantum Circuits with Unbounded Fan-out

Peter Hoyer (U Calgary), Robert Spalek (CWI)

arxiv:quant-ph/0208043 v4 · 2002-08-07 · quant-ph · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22CMZ4CHQRTY7D3IQSOJY6PKRT}

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

Quantum Fanout Gates in Constant Depth via Resonance Engineering

Receipt and verification

First computed	2026-05-18T00:53:12.797366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d684ccf04784678f8f68849c9c79ea8ccb9acc13ee35f6e0ab62aa65c8db3bd0

Aliases

arxiv: quant-ph/0208043 · arxiv_version: quant-ph/0208043v4 · doi: 10.48550/arxiv.quant-ph/0208043 · pith_short_12: 22CMZ4CHQRTY · pith_short_16: 22CMZ4CHQRTY7D3I · pith_short_8: 22CMZ4CH

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/22CMZ4CHQRTY7D3IQSOJY6PKRT \
  | 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: d684ccf04784678f8f68849c9c79ea8ccb9acc13ee35f6e0ab62aa65c8db3bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa2d0835ecc9e00e426f4c9d30bb69838a4ad16b7174dcdaa04d14298b3053c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-08-07T09:43:10Z",
    "title_canon_sha256": "b72bfc00aa3ab5d8217c37fd48254528c70011357e5cf0c2e25ed293db4f2e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0208043",
    "kind": "arxiv",
    "version": 4
  }
}