Pith Number

pith:I773TMRH

pith:2015:I773TMRHV53BSIWI7IEV42SFXR

not attested not anchored not stored refs pending

A short proof of a certain version of Kolmogorov strong law of large numbers

Gogi R. Pantsulaia

arxiv:1506.04453 v8 · 2015-06-15 · 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{I773TMRHV53BSIWI7IEV42SFXR}

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	2026-05-18T01:23:03.927324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ffb9b227af761922c8fa095e6a45bc6347ae809782ed5b3f71b529ac2b2b30

Aliases

arxiv: 1506.04453 · arxiv_version: 1506.04453v8 · doi: 10.48550/arxiv.1506.04453 · pith_short_12: I773TMRHV53B · pith_short_16: I773TMRHV53BSIWI · pith_short_8: I773TMRH

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/I773TMRHV53BSIWI7IEV42SFXR \
  | 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: 47ffb9b227af761922c8fa095e6a45bc6347ae809782ed5b3f71b529ac2b2b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1514def5c888cf5d54c4fae8817a2f1a1bf6439d35890e4018fe4a56ed49433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-15T00:39:40Z",
    "title_canon_sha256": "738401b893af9178a32fb34ac64d40701ef176013d96472832ba85cb9eecbe5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04453",
    "kind": "arxiv",
    "version": 8
  }
}