Pith Number

pith:6ZLK4UBD

pith:2010:6ZLK4UBDAPL6HQO4ZGBAL2FSYP

not attested not anchored not stored refs pending

A probabilistic technique for finding almost-periods of convolutions

Ernie Croot, Olof Sisask

arxiv:1003.2978 v2 · 2010-03-15 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZLK4UBDAPL6HQO4ZGBAL2FSYP}

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	2026-05-18T04:40:57.171907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f656ae502303d7e3c1dcc98205e8b2c3c23c6f5bb29c1d6e7f1e59af69bd938f

Aliases

arxiv: 1003.2978 · arxiv_version: 1003.2978v2 · doi: 10.48550/arxiv.1003.2978 · pith_short_12: 6ZLK4UBDAPL6 · pith_short_16: 6ZLK4UBDAPL6HQO4 · pith_short_8: 6ZLK4UBD

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/6ZLK4UBDAPL6HQO4ZGBAL2FSYP \
  | 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: f656ae502303d7e3c1dcc98205e8b2c3c23c6f5bb29c1d6e7f1e59af69bd938f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bec7304aa9aeeee9a86adc089d8df9121342eb2c8b29308f26675d3bfce3d3e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-15T17:55:41Z",
    "title_canon_sha256": "4065e9d46a7719f9f69416de1ffb4bcd47640939366cffb029ba695e1064b498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2978",
    "kind": "arxiv",
    "version": 2
  }
}