Pith Number

pith:ZKY7FSQY

pith:2025:ZKY7FSQYZBR6PLXA3LNHEBIB3E

not attested not anchored not stored refs pending

High-Order Error Bounds for Markovian LSA with Richardson-Romberg Extrapolation

Alexey Naumov, Ilya Levin, Sergey Samsonov

arxiv:2508.05570 v1 · 2025-08-07 · stat.ML · cs.LG · math.OC · math.ST · 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{ZKY7FSQYZBR6PLXA3LNHEBIB3E}

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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

Revisiting the Constant Stepsize Stochastic Approximation with Decision-Dependent Markovian Noise

Receipt and verification

First computed	2026-07-05T11:50:21.648346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab1f2ca18c863e7aee0dada720501d933ad2051fdda01bb76244548ffe66156

Aliases

arxiv: 2508.05570 · arxiv_version: 2508.05570v1 · doi: 10.48550/arxiv.2508.05570 · pith_short_12: ZKY7FSQYZBR6 · pith_short_16: ZKY7FSQYZBR6PLXA · pith_short_8: ZKY7FSQY

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/ZKY7FSQYZBR6PLXA3LNHEBIB3E \
  | 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: cab1f2ca18c863e7aee0dada720501d933ad2051fdda01bb76244548ffe66156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9dab9bde76ef9e00e96166f92ed79c04bf07723e13be49b6e76534a9f77bda4",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-08-07T17:02:11Z",
    "title_canon_sha256": "e2fccfb430cb2084c6b3ef2fe3d4fe77589dc3ee5053aa871118f45ad7220a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05570",
    "kind": "arxiv",
    "version": 1
  }
}