Pith Number

pith:MHSVG7PR

pith:2011:MHSVG7PR5KCIRPTQSX43R63IRG

not attested not anchored not stored refs pending

On general strong laws of large numbers for fields of random variables

Cheikhna Hamallah, Gane Samb Lo

arxiv:1111.4845 v3 · 2011-11-21 · 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{MHSVG7PR5KCIRPTQSX43R63IRG}

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	2026-05-18T04:04:53.028053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e5537df1ea8488be7095f9b8fb68899cdbad52ba117407c0885f3d0170d010

Aliases

arxiv: 1111.4845 · arxiv_version: 1111.4845v3 · doi: 10.48550/arxiv.1111.4845 · pith_short_12: MHSVG7PR5KCI · pith_short_16: MHSVG7PR5KCIRPTQ · pith_short_8: MHSVG7PR

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/MHSVG7PR5KCIRPTQSX43R63IRG \
  | 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: 61e5537df1ea8488be7095f9b8fb68899cdbad52ba117407c0885f3d0170d010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906e5009834b555994b27dbf64fd0377e92cf3bd83d2267aa31150e0f807fbbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-21T12:08:32Z",
    "title_canon_sha256": "6d4b8539f02cf0b026d62d71ee2bfc16287ba7cdcfb35fa53b3503e428f35aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4845",
    "kind": "arxiv",
    "version": 3
  }
}