Pith Number

pith:2B7EXTZT

pith:2017:2B7EXTZTHROGCIWZSSQU7W4KKX

not attested not anchored not stored refs pending

Symmetric Decomposition of Asymmetric Games

Georg Ostrovski, Joel Leibo, Julien Perolat, Karl Tuyls, Marc Lanctot, Rahul Savani, Shane Legg, Thore Graepel, Toby Ord

arxiv:1711.05074 v3 · 2017-11-14 · cs.GT · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2B7EXTZTHROGCIWZSSQU7W4KKX}

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	2026-05-18T00:25:41.597578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07e4bcf333c5c6122d994a14fdb8a55f5f296fb14cd95e0f2656d975213791d

Aliases

arxiv: 1711.05074 · arxiv_version: 1711.05074v3 · doi: 10.48550/arxiv.1711.05074 · pith_short_12: 2B7EXTZTHROG · pith_short_16: 2B7EXTZTHROGCIWZ · pith_short_8: 2B7EXTZT

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/2B7EXTZTHROGCIWZSSQU7W4KKX \
  | 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: d07e4bcf333c5c6122d994a14fdb8a55f5f296fb14cd95e0f2656d975213791d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465437886f7b2eb07b6c7c993c94d3f0767eb17ee1f478ca66635b02021acc07",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2017-11-14T12:14:51Z",
    "title_canon_sha256": "f151b27695aeef43b2d9a53f4866cbcf7fbba8507982244691d93436241bcb26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05074",
    "kind": "arxiv",
    "version": 3
  }
}