Pith Number

pith:IP4NMPDJ

pith:2010:IP4NMPDJXU7LQSILCW7RKD4T3S

not attested not anchored not stored refs pending

Higher order Fourier analysis as an algebraic theory III

Balazs Szegedy

arxiv:1001.4282 v1 · 2010-01-24 · 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{IP4NMPDJXU7LQSILCW7RKD4T3S}

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	2026-07-04T17:20:11.980342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f8d63c69bd3eb8490b15bf150f93dc8737c08dea19e1005127f78a8afb3847

Aliases

arxiv: 1001.4282 · arxiv_version: 1001.4282v1 · doi: 10.48550/arxiv.1001.4282 · pith_short_12: IP4NMPDJXU7L · pith_short_16: IP4NMPDJXU7LQSIL · pith_short_8: IP4NMPDJ

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/IP4NMPDJXU7LQSILCW7RKD4T3S \
  | 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: 43f8d63c69bd3eb8490b15bf150f93dc8737c08dea19e1005127f78a8afb3847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770bfe011e066a017a9fb0d50ab834f226752102f73ca0a5464abff4fc37fa94",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-24T22:53:15Z",
    "title_canon_sha256": "b19ba8cf18798ff12ee674a151937c702927ffcd31e77bd1e35ca461290046ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4282",
    "kind": "arxiv",
    "version": 1
  }
}