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Pith Number

pith:W2JUHGLH

pith:2017:W2JUHGLHMQOG2NSVMH7RWZFAQD
not attested not anchored not stored refs pending

Sample average approximation with heavier tails I: non-asymptotic bounds with weak assumptions and stochastic constraints

Philip Thompson, Roberto I. Oliveira

arxiv:1705.00822 v5 · 2017-05-02 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W2JUHGLHMQOG2NSVMH7RWZFAQD}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T04:08:22.516068Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b693439967641c6d365561ff1b64a080dc3cb8f5259161dc42f5271cfdd060e4

Aliases

arxiv: 1705.00822 · arxiv_version: 1705.00822v5 · doi: 10.48550/arxiv.1705.00822 · pith_short_12: W2JUHGLHMQOG · pith_short_16: W2JUHGLHMQOG2NSV · pith_short_8: W2JUHGLH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W2JUHGLHMQOG2NSVMH7RWZFAQD \
  | 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: b693439967641c6d365561ff1b64a080dc3cb8f5259161dc42f5271cfdd060e4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "88f145d2c0c56d3a861afbddcceb77fe64683a71064715953b8ed728d72794ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-02T06:58:30Z",
    "title_canon_sha256": "06a05e9e2ec43ecf184669d90cce7045eefa5c190b94fa7390745afd3192ea50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00822",
    "kind": "arxiv",
    "version": 5
  }
}