Pith Number

pith:CCQGR3JG

pith:2009:CCQGR3JGUF2TEIQCHTOU5QN7M4

not attested not anchored not stored refs pending

Higher order Fourier analysis as an algebraic theory II

Balazs Szegedy

arxiv:0911.1157 v1 · 2009-11-06 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCQGR3JGUF2TEIQCHTOU5QN7M4}

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

Spectral algorithms in higher-order Fourier analysis

Receipt and verification

First computed	2026-07-04T16:37:22.476765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a068ed26a1753222023cdd4ec1bf6702b3bd2e23686d761639a9108ee1a7f4

Aliases

arxiv: 0911.1157 · arxiv_version: 0911.1157v1 · doi: 10.48550/arxiv.0911.1157 · pith_short_12: CCQGR3JGUF2T · pith_short_16: CCQGR3JGUF2TEIQC · pith_short_8: CCQGR3JG

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/CCQGR3JGUF2TEIQCHTOU5QN7M4 \
  | 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: 10a068ed26a1753222023cdd4ec1bf6702b3bd2e23686d761639a9108ee1a7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659285ecad08f30cfbd8809307c26f1855ba8e8e74aa528e77a231ae0f60b254",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-06T01:04:32Z",
    "title_canon_sha256": "ce7dfa65ee032b4ac3ae54b5be9252500158f3c60b59a47705e3c7dee4920bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1157",
    "kind": "arxiv",
    "version": 1
  }
}