Pith Number

pith:6VNGSR5O

pith:2026:6VNGSR5OJ6QBY7YJADNVYXE7JU

not attested not anchored not stored refs pending

Convergence of Two-Timescale Markovian Stochastic Approximations with Applications in Reinforcement Learning

Claire Chen, Shangtong Zhang, Shuze Daniel Liu, Vagul Mahadevan

arxiv:2605.31172 v1 · 2026-05-29 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VNGSR5OJ6QBY7YJADNVYXE7JU}

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	2026-06-01T01:04:02.391613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55a6947ae4fa01c7f0900db5c5c9f4d22fd078a31203d9901c5a2bd403fa134

Aliases

arxiv: 2605.31172 · arxiv_version: 2605.31172v1 · doi: 10.48550/arxiv.2605.31172 · pith_short_12: 6VNGSR5OJ6QB · pith_short_16: 6VNGSR5OJ6QBY7YJ · pith_short_8: 6VNGSR5O

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/6VNGSR5OJ6QBY7YJADNVYXE7JU \
  | 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: f55a6947ae4fa01c7f0900db5c5c9f4d22fd078a31203d9901c5a2bd403fa134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa7fe8269a9b44d0974700cc4674d75a3dae2b0b3adad814a891df36b5368e0",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T11:37:07Z",
    "title_canon_sha256": "8db602a2d1fdedfc698d8ce7d3eca83185977e68de235ea3f3c6b1439b9b7aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31172",
    "kind": "arxiv",
    "version": 1
  }
}