Pith Number

pith:DCNVCAKG

pith:2018:DCNVCAKGSX33SCTY6ZWRQNLFVO

not attested not anchored not stored refs pending

Stable Opponent Shaping in Differentiable Games

Alistair Letcher, David Balduzzi, Jakob Foerster, Shimon Whiteson, Tim Rockt\"aschel

arxiv:1811.08469 v3 · 2018-11-20 · 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{DCNVCAKGSX33SCTY6ZWRQNLFVO}

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

Min-Max Optimization Requires Exponentially Many Queries

Receipt and verification

First computed	2026-07-05T02:07:24.869444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189b51014695f7b90a78f66d183565abb5072cc7bda3ad58794c1938838b91e2

Aliases

arxiv: 1811.08469 · arxiv_version: 1811.08469v3 · doi: 10.48550/arxiv.1811.08469 · pith_short_12: DCNVCAKGSX33 · pith_short_16: DCNVCAKGSX33SCTY · pith_short_8: DCNVCAKG

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/DCNVCAKGSX33SCTY6ZWRQNLFVO \
  | 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: 189b51014695f7b90a78f66d183565abb5072cc7bda3ad58794c1938838b91e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e315561bcbe050d54ec862cc7c826ecdca26e993c31a81503427035d34c052",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2018-11-20T20:06:37Z",
    "title_canon_sha256": "03cffa4d6ebed43016e1345406c3001ad865cc0bba8f2b2946dc468d11f88349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08469",
    "kind": "arxiv",
    "version": 3
  }
}