Pith Number

pith:FBHPQZ2K

pith:2023:FBHPQZ2K4DG3VBBYJNP5MX5C6X

not attested not anchored not stored refs pending

Online covariance estimation for stochastic gradient descent under Markovian sampling

Abhishek Roy, Krishnakumar Balasubramanian

arxiv:2308.01481 v2 · 2023-08-03 · math.ST · cs.LG · math.OC · 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{FBHPQZ2K4DG3VBBYJNP5MX5C6X}

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

Higher-Order Equilibrium Tracking for EM-Compressible Online Estimation

Online Covariance Estimation in Averaged SGD: Improved Batch-Mean Rates and Minimax Optimality via Trajectory Regression

Receipt and verification

First computed	2026-07-05T07:09:00.609136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284ef8674ae0cdba84384b5fd65fa2f5d4de1b3620767dad1cb076d8091c5b4b

Aliases

arxiv: 2308.01481 · arxiv_version: 2308.01481v2 · doi: 10.48550/arxiv.2308.01481 · pith_short_12: FBHPQZ2K4DG3 · pith_short_16: FBHPQZ2K4DG3VBBY · pith_short_8: FBHPQZ2K

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/FBHPQZ2K4DG3VBBYJNP5MX5C6X \
  | 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: 284ef8674ae0cdba84384b5fd65fa2f5d4de1b3620767dad1cb076d8091c5b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9975d803d7c28c441c1a4b19a7aa43a90b2e6529284e4290c40dd795c246b1",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-08-03T00:21:30Z",
    "title_canon_sha256": "ea3d5bd8bbeadeea7f160461f0a88a714dd47d32417d6733597fa635aef46f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01481",
    "kind": "arxiv",
    "version": 2
  }
}