Pith Number

pith:QZT3SBDZ

pith:2019:QZT3SBDZJPXHXSSGASVBHCM5AS

not attested not anchored not stored refs pending

Probabilistic Recursive Reasoning for Multi-Agent Reinforcement Learning

Jun Wang, Rui Luo, Wei Pan, Yaodong Yang, Ying Wen

arxiv:1901.09207 v2 · 2019-01-26 · cs.LG · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZT3SBDZJPXHXSSGASVBHCM5AS}

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.

Receipt and verification

First computed	2026-05-17T23:52:21.529914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8667b904794bee7bca4604aa13899d049d510857eb94be9987cb0be9b97b1d6d

Aliases

arxiv: 1901.09207 · arxiv_version: 1901.09207v2 · doi: 10.48550/arxiv.1901.09207 · pith_short_12: QZT3SBDZJPXH · pith_short_16: QZT3SBDZJPXHXSSG · pith_short_8: QZT3SBDZ

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/QZT3SBDZJPXHXSSGASVBHCM5AS \
  | 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: 8667b904794bee7bca4604aa13899d049d510857eb94be9987cb0be9b97b1d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ddc4851ea396a287ae4363fd0e80862034b2e6ac08bc3d9ac1f5e2e71b0376",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-01-26T13:08:08Z",
    "title_canon_sha256": "1d0385f833fd58f96668885000bcd77b5cb781d04e3104083e1183239e30f5f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09207",
    "kind": "arxiv",
    "version": 2
  }
}