Pith Number

pith:SAXN4JWG

pith:2022:SAXN4JWGC7MIWRMQ4KGYUKQGDR

not attested not anchored not stored refs pending

$O(T^{-1})$ Convergence of Optimistic-Follow-the-Regularized-Leader in Two-Player Zero-Sum Markov Games

Cong Ma, Yuepeng Yang

arxiv:2209.12430 v2 · 2022-09-26 · cs.LG · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAXN4JWGC7MIWRMQ4KGYUKQGDR}

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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.

Cited by

1 paper in Pith

Solving Zero-Sum Convex Markov Games

Receipt and verification

First computed	2026-07-05T05:40:08.842983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902ede26c617d88b4590e28d8a2a061c6fb313cb193025b8f78f1afc7587dd1f

Aliases

arxiv: 2209.12430 · arxiv_version: 2209.12430v2 · doi: 10.48550/arxiv.2209.12430 · pith_short_12: SAXN4JWGC7MI · pith_short_16: SAXN4JWGC7MIWRMQ · pith_short_8: SAXN4JWG

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/SAXN4JWGC7MIWRMQ4KGYUKQGDR \
  | 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: 902ede26c617d88b4590e28d8a2a061c6fb313cb193025b8f78f1afc7587dd1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe93145a86104b5a401e4290f9cabfd1e96b569fb881afd9c9835157fe558546",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-09-26T05:35:44Z",
    "title_canon_sha256": "8cf318351b723edc4fa06a508f35437e98db32486a5383f18ea45834fce4dcc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12430",
    "kind": "arxiv",
    "version": 2
  }
}