Pith Number

pith:KXOLDL2W

pith:2024:KXOLDL2WUOVILFQMIYMCRCQUJ5

not attested not anchored not stored refs pending

Probability Laws Concerning Zeta Integrals

Grayson Plumpton

arxiv:2411.08863 v1 · 2024-11-13 · math.NT · 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{KXOLDL2WUOVILFQMIYMCRCQUJ5}

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	2026-07-05T09:35:03.796973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55dcb1af56a3aa85960c4618288a144f5329b1ef531d9311831080450dd4260d

Aliases

arxiv: 2411.08863 · arxiv_version: 2411.08863v1 · doi: 10.48550/arxiv.2411.08863 · pith_short_12: KXOLDL2WUOVI · pith_short_16: KXOLDL2WUOVILFQM · pith_short_8: KXOLDL2W

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/KXOLDL2WUOVILFQMIYMCRCQUJ5 \
  | 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: 55dcb1af56a3aa85960c4618288a144f5329b1ef531d9311831080450dd4260d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c459b71e92917e2b6fdf4db1076e8226343f9c9e02459ea7d21e355bc80f3178",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-13T18:45:54Z",
    "title_canon_sha256": "7b4c2c81e0d7b5e9b18c8f3830b0a995ff43266d7c14c2f4de270d786acae485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08863",
    "kind": "arxiv",
    "version": 1
  }
}