Pith Number

pith:4Z5VESIS

pith:2022:4Z5VESISIIZ3RW2FGMJBXNMDFI

not attested not anchored not stored refs pending

COLA: Consistent Learning with Opponent-Learning Awareness

Alistair Letcher, Jakob Foerster, Johannes Treutlein, Timon Willi

arxiv:2203.04098 v3 · 2022-03-08 · cs.LG · cs.AI · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z5VESISIIZ3RW2FGMJBXNMDFI}

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	2026-07-05T04:34:51.282741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67b5249124233b8db4533121bb5832a2abb9dee6c150400fa3ca3be4131f0ec

Aliases

arxiv: 2203.04098 · arxiv_version: 2203.04098v3 · doi: 10.48550/arxiv.2203.04098 · pith_short_12: 4Z5VESISIIZ3 · pith_short_16: 4Z5VESISIIZ3RW2F · pith_short_8: 4Z5VESIS

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/4Z5VESISIIZ3RW2FGMJBXNMDFI \
  | 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: e67b5249124233b8db4533121bb5832a2abb9dee6c150400fa3ca3be4131f0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c314990661847b1a1420d36e913a89641d0fb2edf37738351ea4fcda94d545",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-03-08T14:08:36Z",
    "title_canon_sha256": "3d000eec236893dbca467a4a47c490d21020b934a8ffc79ec3b18fe35fe24ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.04098",
    "kind": "arxiv",
    "version": 3
  }
}