Pith Number

pith:M23IBZMZ

pith:2022:M23IBZMZQQPIJFWYP4UTWYLJBW

not attested not anchored not stored refs pending

A Unified Approach to Reinforcement Learning, Quantal Response Equilibria, and Two-Player Zero-Sum Games

Christian Kroer, Ioannis Mitliagkas, J. Zico Kolter, Marc Lanctot, Nicolas Loizou, Noam Brown, Ryan D'Orazio, Samuel Sokota

arxiv:2206.05825 v4 · 2022-06-12 · cs.LG · cs.AI · 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{M23IBZMZQQPIJFWYP4UTWYLJBW}

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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

6 papers in Pith

FootsiesGym: A Fighting Game Benchmark for Two-Player Zero-Sum Imperfect-Information Games

Which Nash Equilibrium? Solver-Dependent Selection on Zero-Sum Nash Polytopes

How Much Due Diligence Before You Bid? Learning in Intractable Takeover Auctions

GAE Falls Short in Imperfect-Information Self-Play Reinforcement Learning

Multiplayer Nash Preference Optimization

Receipt and verification

First computed	2026-07-05T05:59:33.900120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b680e599841e8496d87f293b61690d8c607f8fdeee4b7ae0b963125debd06d

Aliases

arxiv: 2206.05825 · arxiv_version: 2206.05825v4 · doi: 10.48550/arxiv.2206.05825 · pith_short_12: M23IBZMZQQPI · pith_short_16: M23IBZMZQQPIJFWY · pith_short_8: M23IBZMZ

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/M23IBZMZQQPIJFWYP4UTWYLJBW \
  | 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: 66b680e599841e8496d87f293b61690d8c607f8fdeee4b7ae0b963125debd06d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f35c61465cf94de29739af499494d968e43d932edd5b9de1a24e72eb9aeca68",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-12T19:49:14Z",
    "title_canon_sha256": "1c27af183688c48af14ae26f59f32a65b2613767fd73f873ba5bbdee82d17877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05825",
    "kind": "arxiv",
    "version": 4
  }
}