Pith Number

pith:G4M2M5LT

pith:2019:G4M2M5LTJXZBDEDFZXB7JHOBC3

not attested not anchored not stored refs pending

Competitive Multi-Agent Deep Reinforcement Learning with Counterfactual Thinking

Chenwei Zhang, Lixin Cui, Lu Bai, Philip S. Yu, Yao Wan, Yue Wang

arxiv:1908.04573 v2 · 2019-08-13 · cs.LG · cs.AI · cs.MA · 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{G4M2M5LTJXZBDEDFZXB7JHOBC3}

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	2026-07-04T23:57:51.795170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3719a675734df2119065cdc3f49dc116e6a724d52903bb39b5a9816401887fed

Aliases

arxiv: 1908.04573 · arxiv_version: 1908.04573v2 · doi: 10.48550/arxiv.1908.04573 · pith_short_12: G4M2M5LTJXZB · pith_short_16: G4M2M5LTJXZBDEDF · pith_short_8: G4M2M5LT

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/G4M2M5LTJXZBDEDFZXB7JHOBC3 \
  | 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: 3719a675734df2119065cdc3f49dc116e6a724d52903bb39b5a9816401887fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d01465ce8c541c2c89c265fbe93e7e014d728a04216e9c8b34c61cb22ab16c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.MA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-08-13T10:55:24Z",
    "title_canon_sha256": "f0396e5df56ea158bebab5451d472c1abbed6ebad378732c2443b30bcb909b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04573",
    "kind": "arxiv",
    "version": 2
  }
}