Pith Number

pith:SQJ7HXXA

pith:2021:SQJ7HXXAEU7RACH5JLCM3WY6FJ

not attested not anchored not stored refs pending

Optimal and instance-dependent guarantees for Markovian linear stochastic approximation

Ashwin Pananjady, Martin J. Wainwright, Peter L. Bartlett, Wenlong Mou

arxiv:2112.12770 v2 · 2021-12-23 · math.OC · cs.LG · math.PR · math.ST · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQJ7HXXAEU7RACH5JLCM3WY6FJ}

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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

Statistical inference for Linear Stochastic Approximation with Markovian Noise

Receipt and verification

First computed	2026-07-05T08:17:54.079340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9413f3dee0253f1008fd4ac4cddb1e2a6fb873e9abc90bd74e067ec64b41dbc3

Aliases

arxiv: 2112.12770 · arxiv_version: 2112.12770v2 · doi: 10.48550/arxiv.2112.12770 · pith_short_12: SQJ7HXXAEU7R · pith_short_16: SQJ7HXXAEU7RACH5 · pith_short_8: SQJ7HXXA

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/SQJ7HXXAEU7RACH5JLCM3WY6FJ \
  | 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: 9413f3dee0253f1008fd4ac4cddb1e2a6fb873e9abc90bd74e067ec64b41dbc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c86b363034e3564cbf0e178ac667589c21c2a65208d5e992dbe6d0437c4b584",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-23T18:47:50Z",
    "title_canon_sha256": "b06ebb98a89c9439ddb191d9e0d6c98f26966870bb0210577069050888736776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12770",
    "kind": "arxiv",
    "version": 2
  }
}