Pith Number

pith:HCYMKWWZ

pith:2002:HCYMKWWZKX5AZAAIWXQOVVWVL2

not attested not anchored not stored refs pending

The Hidden Subgroup Problem in Affine Groups: Basis Selection in Fourier Sampling

Alexander Russell, Cristopher Moore, Daniel Rockmore, Leonard Schulman

arxiv:quant-ph/0211124 v3 · 2002-11-20 · 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{HCYMKWWZKX5AZAAIWXQOVVWVL2}

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	2026-07-04T14:46:03.970254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b0c55ad955fa0c8008b5e0ead6d55e851639f2fd583c41e75bd38ff14b4998

Aliases

arxiv: quant-ph/0211124 · arxiv_version: quant-ph/0211124v3 · doi: 10.48550/arxiv.quant-ph/0211124 · pith_short_12: HCYMKWWZKX5A · pith_short_16: HCYMKWWZKX5AZAAI · pith_short_8: HCYMKWWZ

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/HCYMKWWZKX5AZAAIWXQOVVWVL2 \
  | 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: 38b0c55ad955fa0c8008b5e0ead6d55e851639f2fd583c41e75bd38ff14b4998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a8f48a225da23a6671bcfb124b14e56718e1c19cf5395ac627e6641b214e39",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-11-20T06:58:32Z",
    "title_canon_sha256": "34780fa88c02c1ff9afb2d115aaf3e0b4d1d7aa2041055f2e3b30679f41d3dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0211124",
    "kind": "arxiv",
    "version": 3
  }
}