Pith Number

pith:3BD7WUYQ

pith:2000:3BD7WUYQGMIMHVBZY3CKONIGIX

not attested not anchored not stored refs pending

Fast parallel circuits for the quantum Fourier transform

John Watrous (University of Calgary), Richard Cleve

arxiv:quant-ph/0006004 v1 · 2000-06-01 · 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{3BD7WUYQGMIMHVBZY3CKONIGIX}

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

Witnessing the architecture of quantum circuits

Receipt and verification

First computed	2026-07-04T14:45:28.997803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d847fb53103310c3d439c6c4a7350645df349dc9e58db082f47808a497d90add

Aliases

arxiv: quant-ph/0006004 · arxiv_version: quant-ph/0006004v1 · doi: 10.48550/arxiv.quant-ph/0006004 · pith_short_12: 3BD7WUYQGMIM · pith_short_16: 3BD7WUYQGMIMHVBZ · pith_short_8: 3BD7WUYQ

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/3BD7WUYQGMIMHVBZY3CKONIGIX \
  | 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: d847fb53103310c3d439c6c4a7350645df349dc9e58db082f47808a497d90add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab2b44102a90eb8149603ec7247e0def4e25657600c4000ca57fd6a3d437ee0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-01T18:45:53Z",
    "title_canon_sha256": "24f3401cf516724c7493a3cb94740a926e9a0388e5e4d09bb407bc134ef262e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006004",
    "kind": "arxiv",
    "version": 1
  }
}