Pith Number

pith:72ETKK3B

pith:2021:72ETKK3BWOXA7TK3ADWM7XT5BF

not attested not anchored not stored refs pending

A Game-Theoretic Approach to Multi-Agent Trust Region Optimization

Hui Chen, Jun Wang, Minne Li, Xu Chen, Yaodong Yang, Ying Wen, Zheng Tian

arxiv:2106.06828 v1 · 2021-06-12 · cs.MA · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72ETKK3BWOXA7TK3ADWM7XT5BF}

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	2026-07-05T02:48:41.605186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe89352b61b3ae0fcd5b00eccfde7d09626a85d9fe72bad3a62da534906742ee

Aliases

arxiv: 2106.06828 · arxiv_version: 2106.06828v1 · doi: 10.48550/arxiv.2106.06828 · pith_short_12: 72ETKK3BWOXA · pith_short_16: 72ETKK3BWOXA7TK3 · pith_short_8: 72ETKK3B

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/72ETKK3BWOXA7TK3ADWM7XT5BF \
  | 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: fe89352b61b3ae0fcd5b00eccfde7d09626a85d9fe72bad3a62da534906742ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5cf06323a4933fba8047e02e61fe60b74d2bb58e6988922e10da53b2b09b925",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2021-06-12T18:21:26Z",
    "title_canon_sha256": "de70307ba3631ba367eac3ede690f285f2afc41a03cb92c567ffd5fa9a856911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06828",
    "kind": "arxiv",
    "version": 1
  }
}