Pith Number

pith:LVSZPHN7

pith:2005:LVSZPHN7SC3SZ2J2DNSTVCXNRT

not attested not anchored not stored refs pending

The Symmetric Group Defies Strong Fourier Sampling: Part II

Alexander Russell, Cristopher Moore

arxiv:quant-ph/0501066 v3 · 2005-01-13 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVSZPHN7SC3SZ2J2DNSTVCXNRT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:05:03.091570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d65979dbf90b72ce93a1b653a8aed8cf23c3fd9c57826873872e931aa29c6ab

Aliases

arxiv: quant-ph/0501066 · arxiv_version: quant-ph/0501066v3 · doi: 10.48550/arxiv.quant-ph/0501066 · pith_short_12: LVSZPHN7SC3S · pith_short_16: LVSZPHN7SC3SZ2J2 · pith_short_8: LVSZPHN7

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/LVSZPHN7SC3SZ2J2DNSTVCXNRT \
  | 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: 5d65979dbf90b72ce93a1b653a8aed8cf23c3fd9c57826873872e931aa29c6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fdfa418d1220c0c036d41f0c592c536b5ed00952dbb1188e0b96c2b88e02b2b",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-01-13T04:21:15Z",
    "title_canon_sha256": "bdd87c8213cadd0323e7188a03f5dbad471225f633f3fc14b976666bd8386f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0501066",
    "kind": "arxiv",
    "version": 3
  }
}