Pith Number

pith:WFKODLNP

pith:2019:WFKODLNPHNINT674KI6ZCPGONW

not attested not anchored not stored refs pending

On the Convergence of Model Free Learning in Mean Field Games

Julien P\'erolat, Mathieu Lauri\`ere, Matthieu Geist, Olivier Pietquin, Romuald Elie

arxiv:1907.02633 v3 · 2019-07-04 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFKODLNPHNINT674KI6ZCPGONW}

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	2026-07-05T00:42:42.563550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b154e1adaf3b50d9fbfc523d913cce6da71eae95b1f48001222c953c24055768

Aliases

arxiv: 1907.02633 · arxiv_version: 1907.02633v3 · doi: 10.48550/arxiv.1907.02633 · pith_short_12: WFKODLNPHNIN · pith_short_16: WFKODLNPHNINT674 · pith_short_8: WFKODLNP

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/WFKODLNPHNINT674KI6ZCPGONW \
  | 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: b154e1adaf3b50d9fbfc523d913cce6da71eae95b1f48001222c953c24055768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc12151cc8e195d410de0fecea2a35e65f2dd6e112f392f21c9109e53972b333",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-04T11:54:09Z",
    "title_canon_sha256": "990e81515108f037ee8107ce635b8d66cd80ee3c680ad31ed2ff9b7b4b295586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02633",
    "kind": "arxiv",
    "version": 3
  }
}