Pith Number

pith:XBRSVEG2

pith:2021:XBRSVEG2AKWDKLTMAN3YWQ677V

not attested not anchored not stored refs pending

Gradient play in stochastic games: stationary points, convergence, and sample complexity

Na Li, Runyu Zhang, Zhaolin Ren

arxiv:2106.00198 v5 · 2021-06-01 · cs.LG · cs.GT · cs.MA · 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{XBRSVEG2AKWDKLTMAN3YWQ677V}

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	2026-07-05T07:21:09.057963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8632a90da02ac352e6c03778b43dffd4b463356a8fa5aa9ca50eb327a4fdf84

Aliases

arxiv: 2106.00198 · arxiv_version: 2106.00198v5 · doi: 10.48550/arxiv.2106.00198 · pith_short_12: XBRSVEG2AKWD · pith_short_16: XBRSVEG2AKWDKLTM · pith_short_8: XBRSVEG2

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/XBRSVEG2AKWDKLTMAN3YWQ677V \
  | 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: b8632a90da02ac352e6c03778b43dffd4b463356a8fa5aa9ca50eb327a4fdf84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4845e3626f5214ee2b46b400a829d6216d6a8daad49b4480dbfb5129fc141665",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.MA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-01T03:03:45Z",
    "title_canon_sha256": "1d9acd4d85ac0abf47bf7ab10777429cbd8c6198daa1a5444308c8c4bb631876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.00198",
    "kind": "arxiv",
    "version": 5
  }
}