Pith Number

pith:F7G6J4OC

pith:2019:F7G6J4OCW2HYD5IOLWHKBMJVBC

not attested not anchored not stored refs pending

A Multistep Lyapunov Approach for Finite-Time Analysis of Biased Stochastic Approximation

Bingcong Li, Gang Wang, Georgios B. Giannakis

arxiv:1909.04299 v3 · 2019-09-10 · stat.ML · cs.LG · cs.SY · eess.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7G6J4OCW2HYD5IOLWHKBMJVBC}

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.

Receipt and verification

First computed	2026-07-05T01:31:49.617794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fcde4f1c2b68f81f50e5d8ea0b135088b28ca1dcf05fc4511f4e4db9e77b3cb

Aliases

arxiv: 1909.04299 · arxiv_version: 1909.04299v3 · doi: 10.48550/arxiv.1909.04299 · pith_short_12: F7G6J4OCW2HY · pith_short_16: F7G6J4OCW2HYD5IO · pith_short_8: F7G6J4OC

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/F7G6J4OCW2HYD5IOLWHKBMJVBC \
  | 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: 2fcde4f1c2b68f81f50e5d8ea0b135088b28ca1dcf05fc4511f4e4db9e77b3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9734dc7d961b81d111c18425d6ff4c2cc79b9e1565452180898b88cbfa64be2",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-09-10T05:27:58Z",
    "title_canon_sha256": "6d98aade30d29cd3232f4145f820c88efe8bcbbf49d86bdd873f959a3b111582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04299",
    "kind": "arxiv",
    "version": 3
  }
}