Pith Number

pith:FN44ZLNU

pith:2016:FN44ZLNUJQQCFQJ6W4BUOHWUP5

not attested not anchored not stored refs pending

Averages of short correlations: a note

Giovanni Coppola

arxiv:1603.04847 v1 · 2016-03-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN44ZLNUJQQCFQJ6W4BUOHWUP5}

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	2026-05-18T01:18:59.803685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b79ccadb44c2022c13eb703471ed47f55d8d8b56d2a9192a4ae291b8258f996

Aliases

arxiv: 1603.04847 · arxiv_version: 1603.04847v1 · doi: 10.48550/arxiv.1603.04847 · pith_short_12: FN44ZLNUJQQC · pith_short_16: FN44ZLNUJQQCFQJ6 · pith_short_8: FN44ZLNU

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/FN44ZLNUJQQCFQJ6W4BUOHWUP5 \
  | 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: 2b79ccadb44c2022c13eb703471ed47f55d8d8b56d2a9192a4ae291b8258f996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a69e183773e48657b85c3e42cde862c337c969d4cbddb3ff695afc5b5b22a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-15T09:49:05Z",
    "title_canon_sha256": "1c9647a23739aa0565f014ae1a2e9dbdd0a68e334df4243686cffa3756773651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04847",
    "kind": "arxiv",
    "version": 1
  }
}