Pith Number

pith:Q74FXGJ6

pith:2021:Q74FXGJ6JGKTQWSDL4IP4MOXTR

not attested not anchored not stored refs pending

Finite-Sample Analysis of Decentralized Q-Learning for Stochastic Games

John R. Birge, Qianqian Ma, Tamer Ba\c{s}ar, Zuguang Gao

arxiv:2112.07859 v2 · 2021-12-15 · cs.GT · cs.LG · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q74FXGJ6JGKTQWSDL4IP4MOXTR}

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	2026-07-05T03:41:28.670464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f85b993e4995385a435f10fe31d79c4e8dfa6ef8f55736e1c506a39da8a0cb

Aliases

arxiv: 2112.07859 · arxiv_version: 2112.07859v2 · doi: 10.48550/arxiv.2112.07859 · pith_short_12: Q74FXGJ6JGKT · pith_short_16: Q74FXGJ6JGKTQWSD · pith_short_8: Q74FXGJ6

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/Q74FXGJ6JGKTQWSDL4IP4MOXTR \
  | 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: 87f85b993e4995385a435f10fe31d79c4e8dfa6ef8f55736e1c506a39da8a0cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcdea76ebe6292aca0c089e3008868db3adbd69451f72e9ef93e2473713cc905",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-12-15T03:33:39Z",
    "title_canon_sha256": "7ed88e226585c7117eb5c9503671a19a663613a76fffd7d6b33fdb7387958fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07859",
    "kind": "arxiv",
    "version": 2
  }
}