Pith Number

pith:RPA4RJJB

pith:2017:RPA4RJJBORUKWODL5MOBXODWQJ

not attested not anchored not stored refs pending

A central limit like theorem for Fourier sums

Dominik Janzing, Michel Besserve, Naji Shajarisales

arxiv:1707.06819 v1 · 2017-07-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPA4RJJBORUKWODL5MOBXODWQJ}

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	2026-05-18T00:39:51.502777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc1c8a5217468ab386beb1c1bb87682787390571d127d89553e070d9d4273c5

Aliases

arxiv: 1707.06819 · arxiv_version: 1707.06819v1 · doi: 10.48550/arxiv.1707.06819 · pith_short_12: RPA4RJJBORUK · pith_short_16: RPA4RJJBORUKWODL · pith_short_8: RPA4RJJB

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/RPA4RJJBORUKWODL5MOBXODWQJ \
  | 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: 8bc1c8a5217468ab386beb1c1bb87682787390571d127d89553e070d9d4273c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d31462c88582cb61e4b26a21737e0b2db66b46a39fc34fb266d374012e8531a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-21T09:58:58Z",
    "title_canon_sha256": "11121cda54cdbc2fc24c73a4f94fff88ba9f451f888a918b93e67c1d8a7a9bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06819",
    "kind": "arxiv",
    "version": 1
  }
}