Pith Number

pith:O3XIMJTN

pith:2023:O3XIMJTNMWZOB46AHELSYCWDJA

not attested not anchored not stored refs pending

A Proof that Coarse Correlated Equilibrium Implies Nash Equilibrium in Two-Player Zero-Sum Games

Revan MacQueen

arxiv:2304.07187 v2 · 2023-04-14 · 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{O3XIMJTNMWZOB46AHELSYCWDJA}

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	2026-07-05T07:01:24.800225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ee86266d65b2e0f3c039172c0ac348198eb7b7904f64bf9d439695bd294a1d

Aliases

arxiv: 2304.07187 · arxiv_version: 2304.07187v2 · doi: 10.48550/arxiv.2304.07187 · pith_short_12: O3XIMJTNMWZO · pith_short_16: O3XIMJTNMWZOB46A · pith_short_8: O3XIMJTN

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/O3XIMJTNMWZOB46AHELSYCWDJA \
  | 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: 76ee86266d65b2e0f3c039172c0ac348198eb7b7904f64bf9d439695bd294a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a9f02c51f0093e66762823a673aed5f266dc9d786fc97b645fd15c59747d55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-04-14T15:00:22Z",
    "title_canon_sha256": "32c46efb62f6068374f6fd2245533e18482f811d26e9cc500436a30d061ae330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.07187",
    "kind": "arxiv",
    "version": 2
  }
}