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Pith Number

pith:CFTA3TZU

pith:2011:CFTA3TZUCVHQXMZV57RSTU5STS
not attested not anchored not stored refs pending

A Variant of Azuma's Inequality for Martingales with Subgaussian Tails

Ohad Shamir

arxiv:1110.2392 v2 · 2011-10-11 · cs.LG · math.PR

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\usepackage{pith}
\pithnumber{CFTA3TZUCVHQXMZV57RSTU5STS}

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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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T04:11:07.000532Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

11660dcf34154f0bb335efe329d3b29c9816ca5b5f189a8e44f1a0b931685c7e

Aliases

arxiv: 1110.2392 · arxiv_version: 1110.2392v2 · doi: 10.48550/arxiv.1110.2392 · pith_short_12: CFTA3TZUCVHQ · pith_short_16: CFTA3TZUCVHQXMZV · pith_short_8: CFTA3TZU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CFTA3TZUCVHQXMZV57RSTU5STS \
  | 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: 11660dcf34154f0bb335efe329d3b29c9816ca5b5f189a8e44f1a0b931685c7e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9642b57c4bd86125b06f0be328387a7950ba10b9df51074e27b95b7ae19cf58f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2011-10-11T14:53:35Z",
    "title_canon_sha256": "38224c408800656c3be6569ffbd15db8ba927810ec87855872fe9add854e4406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2392",
    "kind": "arxiv",
    "version": 2
  }
}