Pith Number

pith:WJGSYSMN

pith:2025:WJGSYSMNUSSH3HMH6X3SFKI5RP

not attested not anchored not stored refs pending

On strong law of large numbers for non identically distributed random variables

A.Yu. Veretennikov, I.V. Kozlov

arxiv:2506.07508 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{WJGSYSMNUSSH3HMH6X3SFKI5RP}

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	2026-07-05T11:18:28.493185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24d2c498da4a47d9d87f5f722a91d8bf891eac73078982852b3e88be7c40816

Aliases

arxiv: 2506.07508 · arxiv_version: 2506.07508v1 · doi: 10.48550/arxiv.2506.07508 · pith_short_12: WJGSYSMNUSSH · pith_short_16: WJGSYSMNUSSH3HMH · pith_short_8: WJGSYSMN

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/WJGSYSMNUSSH3HMH6X3SFKI5RP \
  | 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: b24d2c498da4a47d9d87f5f722a91d8bf891eac73078982852b3e88be7c40816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16a2334b82b37d3ece67ed1b04ce41d34061ee21e3473ccb503c31f2bf0f51c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-09T07:37:13Z",
    "title_canon_sha256": "1c9e61456a0f1272225d0692e6cce3863f4b03cb1ca7ebf62a9ed71885ff0f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07508",
    "kind": "arxiv",
    "version": 1
  }
}