Pith Number

pith:OIWPGT7Y

pith:2012:OIWPGT7YHL34JDUDKTNVCVOCH4

not attested not anchored not stored refs pending

Fatou's Lemma for Weakly Converging Probabilities

Eugene A. Feinberg, Nina V. Zadoianchuk, Pavlo O. Kasyanov

arxiv:1206.4073 v3 · 2012-06-18 · 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{OIWPGT7YHL34JDUDKTNVCVOCH4}

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	2026-05-18T03:06:32.891426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

722cf34ff83af7c48e8354db5155c23f0425cf183b5b082c4865b790fde20b73

Aliases

arxiv: 1206.4073 · arxiv_version: 1206.4073v3 · doi: 10.48550/arxiv.1206.4073 · pith_short_12: OIWPGT7YHL34 · pith_short_16: OIWPGT7YHL34JDUD · pith_short_8: OIWPGT7Y

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/OIWPGT7YHL34JDUDKTNVCVOCH4 \
  | 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: 722cf34ff83af7c48e8354db5155c23f0425cf183b5b082c4865b790fde20b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b16b45547fb09d31e83be03bb6fe38d5375c62eaceb5754561f750d9c4d76d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-18T21:02:35Z",
    "title_canon_sha256": "c2f628d80946f8e0ecf360e3381c391bf379c30e510bf296e95de37f405b40da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4073",
    "kind": "arxiv",
    "version": 3
  }
}