Pith Number

pith:ZM5WWGFA

pith:2021:ZM5WWGFALGW7UP3X6BIYDWH2H7

not attested not anchored not stored refs pending

Convergence of Batch Asynchronous Stochastic Approximation With Applications to Reinforcement Learning

M. Vidyasagar, Rajeeva L. Karandikar

arxiv:2109.03445 v7 · 2021-09-08 · stat.ML · cs.AI · cs.LG · cs.SY · eess.SY · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZM5WWGFALGW7UP3X6BIYDWH2H7}

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	2026-07-05T12:07:34.642725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3b6b18a059adfa3f77f05181d8fa3fce274aede00cf643dae96c6c04185c0f

Aliases

arxiv: 2109.03445 · arxiv_version: 2109.03445v7 · doi: 10.48550/arxiv.2109.03445 · pith_short_12: ZM5WWGFALGW7 · pith_short_16: ZM5WWGFALGW7UP3X · pith_short_8: ZM5WWGFA

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/ZM5WWGFALGW7UP3X6BIYDWH2H7 \
  | 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: cb3b6b18a059adfa3f77f05181d8fa3fce274aede00cf643dae96c6c04185c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9c8be7218a2c800a61b4443abc22c8509b2d9bed55ed0c7b6a0b2f41e5a81b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.SY",
      "eess.SY",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-09-08T06:06:28Z",
    "title_canon_sha256": "fe606119be8a25c6e4694114218e84fe323d44331b9e008cb7e1b14bed7e8bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03445",
    "kind": "arxiv",
    "version": 7
  }
}