Pith Number

pith:JOJCZ3K5

pith:2021:JOJCZ3K5ZPQSMLY2NTAI3332O6

not attested not anchored not stored refs pending

Mean-Field Multi-Agent Reinforcement Learning: A Decentralized Network Approach

Haotian Gu, Renyuan Xu, Xiaoli Wei, Xin Guo

arxiv:2108.02731 v2 · 2021-08-05 · cs.LG · 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{JOJCZ3K5ZPQSMLY2NTAI3332O6}

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

Toward Adaptable Multi-Agent Reinforcement Learning: An Assumption-Aware Review

Receipt and verification

First computed	2026-07-05T03:58:16.908366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b922ced5dcbe1262f1a6cc08def7a77ac9a1abf38abcfa0d56ca06b1f9f7064

Aliases

arxiv: 2108.02731 · arxiv_version: 2108.02731v2 · doi: 10.48550/arxiv.2108.02731 · pith_short_12: JOJCZ3K5ZPQS · pith_short_16: JOJCZ3K5ZPQSMLY2 · pith_short_8: JOJCZ3K5

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/JOJCZ3K5ZPQSMLY2NTAI3332O6 \
  | 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: 4b922ced5dcbe1262f1a6cc08def7a77ac9a1abf38abcfa0d56ca06b1f9f7064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f3dd53ed3a2988b1eab25991930060b3b1b68283cc553e3820a3a957464868",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-05T16:52:36Z",
    "title_canon_sha256": "fc1a0df9fd1b16ff1c9e3c3979b03e21f701d74315f100097fd319c83b9e4ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02731",
    "kind": "arxiv",
    "version": 2
  }
}