Pith Number

pith:K5BEMYUH

pith:2021:K5BEMYUHYHZMFEQ7CE5TPHC3PV

not attested not anchored not stored refs pending

Learning to Give Checkable Answers with Prover-Verifier Games

Cem Anil, Guodong Zhang, Roger Grosse, Yuhuai Wu

arxiv:2108.12099 v1 · 2021-08-27 · 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{K5BEMYUHYHZMFEQ7CE5TPHC3PV}

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

4 papers in Pith

Divide and Cooperate: Role-Decomposed Multi-Agent LLM Training with Cross-Agent Learning Signals

Addressing Over-Refusal in LLMs with Competing Rewards

Pseudo-Formalization for Automatic Proof Verification

Receipt and verification

First computed	2026-07-05T03:09:21.837113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5742466287c1f2c2921f113b379c5b7d6e05d578e88995ccf52fe1c8a885f0ab

Aliases

arxiv: 2108.12099 · arxiv_version: 2108.12099v1 · doi: 10.48550/arxiv.2108.12099 · pith_short_12: K5BEMYUHYHZM · pith_short_16: K5BEMYUHYHZMFEQ7 · pith_short_8: K5BEMYUH

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/K5BEMYUHYHZMFEQ7CE5TPHC3PV \
  | 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: 5742466287c1f2c2921f113b379c5b7d6e05d578e88995ccf52fe1c8a885f0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5856fb94d6835bd07753a6fadd45d4b7ab77904e0895081c9c94aeabee4f148",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-27T02:56:06Z",
    "title_canon_sha256": "fd3472d7e52db45a26c159c343d30184322e422b69938b7d8a868f8253b67e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12099",
    "kind": "arxiv",
    "version": 1
  }
}