Pith Number

pith:KNLQ4YW6

pith:2023:KNLQ4YW6XKCYB47SXDVEPDVQRU

not attested not anchored not stored refs pending

Fictitious Cross-Play: Learning Global Nash Equilibrium in Mixed Cooperative-Competitive Games

Chao Yu, Yancheng Liang, Yi Wu, Yu Wang, Zelai Xu

arxiv:2310.03354 v1 · 2023-10-05 · cs.AI · 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{KNLQ4YW6XKCYB47SXDVEPDVQRU}

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.

Cited by

1 paper in Pith

NePPO: Near-Potential Policy Optimization for General-Sum Multi-Agent Reinforcement Learning

Receipt and verification

First computed	2026-07-05T06:57:32.173159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53570e62deba8580f3f2b8ea478eb08d02b58359394bcad19928042814cf3303

Aliases

arxiv: 2310.03354 · arxiv_version: 2310.03354v1 · doi: 10.48550/arxiv.2310.03354 · pith_short_12: KNLQ4YW6XKCY · pith_short_16: KNLQ4YW6XKCYB47S · pith_short_8: KNLQ4YW6

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/KNLQ4YW6XKCYB47SXDVEPDVQRU \
  | 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: 53570e62deba8580f3f2b8ea478eb08d02b58359394bcad19928042814cf3303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac08c793bb37ae55b8ce9d93002e9f142946b403f1004fff6727f2a7dca848e",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2023-10-05T07:19:33Z",
    "title_canon_sha256": "c1b528f7dc5981820e2dc1080299b52a77884048a755f0cc908f63fd80f95eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03354",
    "kind": "arxiv",
    "version": 1
  }
}