Pith Number

pith:DTW3Q4ZA

pith:2018:DTW3Q4ZAE7FGCHJUDQBE5ERTVD

not attested not anchored not stored refs pending

The Mechanics of n-Player Differentiable Games

David Balduzzi, Jakob Foerster, James Martens, Karl Tuyls, Sebastien Racaniere, Thore Graepel

arxiv:1802.05642 v2 · 2018-02-15 · cs.LG · cs.GT · cs.MA · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTW3Q4ZAE7FGCHJUDQBE5ERTVD}

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	2026-05-18T00:14:06.303818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cedb8732027ca611d341c024e9233a8f44e49ba3753d2d8247a5eb963c90ff2

Aliases

arxiv: 1802.05642 · arxiv_version: 1802.05642v2 · doi: 10.48550/arxiv.1802.05642 · pith_short_12: DTW3Q4ZAE7FG · pith_short_16: DTW3Q4ZAE7FGCHJU · pith_short_8: DTW3Q4ZA

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/DTW3Q4ZAE7FGCHJUDQBE5ERTVD \
  | 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: 1cedb8732027ca611d341c024e9233a8f44e49ba3753d2d8247a5eb963c90ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8655b4282479e9612bc3fc0193485a1205a7c0c929d3bcacc2ff8ac0618954f8",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.MA",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-02-15T16:32:48Z",
    "title_canon_sha256": "e53e959689fb1e957c8fb2fb6323c3932a5ad344256c316724ad7497ee874958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05642",
    "kind": "arxiv",
    "version": 2
  }
}