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Pith Number

pith:LN7J3JPN

pith:2013:LN7J3JPNOEKIACG4VZBTWTDUWS
not attested not anchored not stored refs pending

On the boundedness of Bernoulli processes

Rafa{\l} Lata{\l}a, Witold Bednorz

arxiv:1305.4292 v1 · 2013-05-18 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LN7J3JPNOEKIACG4VZBTWTDUWS}

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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 2026-05-18T02:42:37.431531Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5b7e9da5ed71148008dcae433b4c74b49618a75fc3b9516ef4c7bc90ca7ab198

Aliases

arxiv: 1305.4292 · arxiv_version: 1305.4292v1 · doi: 10.48550/arxiv.1305.4292 · pith_short_12: LN7J3JPNOEKI · pith_short_16: LN7J3JPNOEKIACG4 · pith_short_8: LN7J3JPN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LN7J3JPNOEKIACG4VZBTWTDUWS \
  | 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: 5b7e9da5ed71148008dcae433b4c74b49618a75fc3b9516ef4c7bc90ca7ab198
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de37b65ed3eb1e7c4c161fa1880c364c3dae2641b256b01bc92fd00e8a4b5615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-18T19:11:31Z",
    "title_canon_sha256": "9038e112419ef9bd7e725523046dbbd4fa47cacfacdb7de66009ec096b23de1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4292",
    "kind": "arxiv",
    "version": 1
  }
}