Pith Number

pith:ESG4HGVB

pith:2026:ESG4HGVBTZSQJRNRD2B67RMA22

not attested not anchored not stored refs pending

Optimal Coarse Correlated Equilibria in Mean Field Games: Linear Programming and No-Regret Learning

Federico Cannerozzi, Ioannis Tzouanas, Luciano Campi

arxiv:2606.20062 v1 · 2026-06-18 · math.OC · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESG4HGVBTZSQJRNRD2B67RMA22}

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	2026-06-19T16:13:01.840397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248dc39aa19e6504c5b11e83efc580d6aa5b0d61a622d3283777f1c5bd238a1a

Aliases

arxiv: 2606.20062 · arxiv_version: 2606.20062v1 · doi: 10.48550/arxiv.2606.20062 · pith_short_12: ESG4HGVBTZSQ · pith_short_16: ESG4HGVBTZSQJRNR · pith_short_8: ESG4HGVB

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/ESG4HGVBTZSQJRNRD2B67RMA22 \
  | 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: 248dc39aa19e6504c5b11e83efc580d6aa5b0d61a622d3283777f1c5bd238a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c653e8324fb620124e45b295741e78368f33e6fcbac9e57d92fdd8640e787c16",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-18T10:35:01Z",
    "title_canon_sha256": "f82d2badbed2cfd436fde62a1fc444152183cc34870e9c3a46af094235d5b566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20062",
    "kind": "arxiv",
    "version": 1
  }
}