Pith Number

pith:AZJKXVYK

pith:2012:AZJKXVYKA4EKJSXURBAESJG3MR

not attested not anchored not stored refs pending

On the Law of Large Numbers for Nonmeasurable Identically Distributed Random Variables

Alexander R. Pruss

arxiv:1208.3187 v2 · 2012-08-15 · 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{AZJKXVYKA4EKJSXURBAESJG3MR}

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	2026-05-18T02:44:47.936388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0652abd70a0708a4caf488404924db646c72e8328a933db6a16f2ea7918f2ddd

Aliases

arxiv: 1208.3187 · arxiv_version: 1208.3187v2 · doi: 10.48550/arxiv.1208.3187 · pith_short_12: AZJKXVYKA4EK · pith_short_16: AZJKXVYKA4EKJSXU · pith_short_8: AZJKXVYK

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/AZJKXVYKA4EKJSXURBAESJG3MR \
  | 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: 0652abd70a0708a4caf488404924db646c72e8328a933db6a16f2ea7918f2ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "669d76751b451ce56248a82662262bcd08ff8e2382afe76d028a83657285bddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-15T19:37:53Z",
    "title_canon_sha256": "35020ce8b14d6c5c8e98b61a7884f6945b16fa639d313f83a83f0e1773095ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3187",
    "kind": "arxiv",
    "version": 2
  }
}