Pith Number

pith:DNHH5MPD

pith:2008:DNHH5MPD46HKBKS7JXXD3NCCGW

not attested not anchored not stored refs pending

Large Deviations of Vector-valued Martingales in 2-Smooth Normed Spaces

Anatoli Juditsky (LJK), Arkadii S. Nemirovski (ISyE)

arxiv:0809.0813 v2 · 2008-09-04 · math.PR · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNHH5MPD46HKBKS7JXXD3NCCGW}

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.

Cited by

2 papers in Pith

Unified High-Probability Analysis of Stochastic Variance-Reduced Estimation

Complexity Guarantees for Zeroth-order Methods via Exponentially-shifted Gaussian Smoothing: Mitigating Dimension-dependence and Incorporating Decision-dependence

Receipt and verification

First computed	2026-07-05T05:36:42.819135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4e7eb1e3e78ea0aa5f4dee3db442359511bf4635379dba244df84197ce3c0f

Aliases

arxiv: 0809.0813 · arxiv_version: 0809.0813v2 · doi: 10.48550/arxiv.0809.0813 · pith_short_12: DNHH5MPD46HK · pith_short_16: DNHH5MPD46HKBKS7 · pith_short_8: DNHH5MPD

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/DNHH5MPD46HKBKS7JXXD3NCCGW \
  | 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: 1b4e7eb1e3e78ea0aa5f4dee3db442359511bf4635379dba244df84197ce3c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "436adc32be85bb044f8863c0157555a3c6971d9b2b0358ec0a772a1a2492a785",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-09-04T13:48:07Z",
    "title_canon_sha256": "ada5692b0eea7a9e6b727627dc1e9200c4bf05bb70c7862f5a7f1e4b3fdf84ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0813",
    "kind": "arxiv",
    "version": 2
  }
}