Pith Number

pith:YNWPWW5J

pith:2025:YNWPWW5JH46M6UZHJKTNFLACSQ

not attested not anchored not stored refs pending

On nonlinear weak law of large numbers

Alexander Veretennikov, Alina Akhmiarova

arxiv:2506.07470 v1 · 2025-06-09 · 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{YNWPWW5JH46M6UZHJKTNFLACSQ}

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	2026-07-05T11:18:27.872179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36cfb5ba93f3ccf53274aa6d2ac029420ac7909bff76736d4939e329a6935af

Aliases

arxiv: 2506.07470 · arxiv_version: 2506.07470v1 · doi: 10.48550/arxiv.2506.07470 · pith_short_12: YNWPWW5JH46M · pith_short_16: YNWPWW5JH46M6UZH · pith_short_8: YNWPWW5J

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/YNWPWW5JH46M6UZHJKTNFLACSQ \
  | 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: c36cfb5ba93f3ccf53274aa6d2ac029420ac7909bff76736d4939e329a6935af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138efcfe9064e2ec587c41d7ea184589d0a499bc0c1a79be0baff6a8805a0d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-09T06:41:21Z",
    "title_canon_sha256": "eacda35cd12292a3ec6f1c6ba2b8b26230af556939886ae16f5b3228a7876875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07470",
    "kind": "arxiv",
    "version": 1
  }
}