Pith Number

pith:AFBUTPNJ

pith:2005:AFBUTPNJCJ2YITDCVHFFN6YZWI

not attested not anchored not stored refs pending

The Power of Strong Fourier Sampling: Quantum Algorithms for Affine Groups and Hidden Shifts

Alexander Russell, Cristopher Moore, Daniel Rockmore, Leonard J. Schulman

arxiv:quant-ph/0503095 v1 · 2005-03-09 · 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{AFBUTPNJCJ2YITDCVHFFN6YZWI}

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	2026-07-04T14:46:56.316334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014349bda91275844c62a9ca56fb19b21fa53a49daf05ee8a8e9f3aa72b9c870

Aliases

arxiv: quant-ph/0503095 · arxiv_version: quant-ph/0503095v1 · doi: 10.48550/arxiv.quant-ph/0503095 · pith_short_12: AFBUTPNJCJ2Y · pith_short_16: AFBUTPNJCJ2YITDC · pith_short_8: AFBUTPNJ

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/AFBUTPNJCJ2YITDCVHFFN6YZWI \
  | 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: 014349bda91275844c62a9ca56fb19b21fa53a49daf05ee8a8e9f3aa72b9c870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deedffa8f4b417d76f1e8afdfb66c1e06459fe35ebe6ef73b9ab2b7cd8496a87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-03-09T19:06:26Z",
    "title_canon_sha256": "f40b7db989c1f84309e8ad61ba1529c7571ffb00d312a6615a25be0df81a82ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0503095",
    "kind": "arxiv",
    "version": 1
  }
}