Pith Number

pith:63NL4KJN

pith:2021:63NL4KJNKXYXJDONBKHPSFGVIW

not attested not anchored not stored refs pending

Permutation Invariant Policy Optimization for Mean-Field Multi-Agent Reinforcement Learning: A Principled Approach

Ethan Wang, Hongyuan Zha, Jiachen Yang, Lingxiao Wang, Tuo Zhao, Yan Li, Zhaoran Wang

arxiv:2105.08268 v1 · 2021-05-18 · cs.LG · cs.MA

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\usepackage{pith}
\pithnumber{63NL4KJNKXYXJDONBKHPSFGVIW}

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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

2 papers in Pith

Mean Field Reinforcement Learning

Multi-agent rendezvous in fluid flows via reinforcement learning

Receipt and verification

First computed	2026-07-05T02:40:53.499364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6dabe292d55f1748dcd0a8ef914d54598079811f57287ad6aede4104d5568af

Aliases

arxiv: 2105.08268 · arxiv_version: 2105.08268v1 · doi: 10.48550/arxiv.2105.08268 · pith_short_12: 63NL4KJNKXYX · pith_short_16: 63NL4KJNKXYXJDON · pith_short_8: 63NL4KJN

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/63NL4KJNKXYXJDONBKHPSFGVIW \
  | 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: f6dabe292d55f1748dcd0a8ef914d54598079811f57287ad6aede4104d5568af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204f44e62c686e5fb46a29193549c04098ae0dfda4aa6636720a185298e8e7d2",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-18T04:35:41Z",
    "title_canon_sha256": "cb62e919ba414864a76a112ab5c9a9bb8b911a5969388f430f1ef295bd8688be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08268",
    "kind": "arxiv",
    "version": 1
  }
}