Pith Number

pith:JOVSUZUR

pith:2021:JOVSUZURLZZYX26GD526HX7ND7

not attested not anchored not stored refs pending

Expected number of zeros of random power series with finitely dependent Gaussian coefficients

Kohei Noda, Tomoyuki Shirai

arxiv:2106.02860 v1 · 2021-06-05 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOVSUZURLZZYX26GD526HX7ND7}

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	2026-07-05T02:46:31.013271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bab2a66915e738bebc61f75e3dfed1fcfa0f6510d06a6ef1843ea211d6a7764

Aliases

arxiv: 2106.02860 · arxiv_version: 2106.02860v1 · doi: 10.48550/arxiv.2106.02860 · pith_short_12: JOVSUZURLZZY · pith_short_16: JOVSUZURLZZYX26G · pith_short_8: JOVSUZUR

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/JOVSUZURLZZYX26GD526HX7ND7 \
  | 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: 4bab2a66915e738bebc61f75e3dfed1fcfa0f6510d06a6ef1843ea211d6a7764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f045b2252453d2275461192ed543b20704ac080416a6c9511317493119177285",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-06-05T10:20:00Z",
    "title_canon_sha256": "dc25ecd44dbf9d8582b44e4e4df87f5bfef2a131501b3c87f34998e34e4a8b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02860",
    "kind": "arxiv",
    "version": 1
  }
}