Pith Number

pith:6KOILGRC

pith:2018:6KOILGRCOBCYPQNE7KPK6R66QE

not attested not anchored not stored refs pending

On the convergence of closed-loop Nash equilibria to the mean field game limit

Daniel Lacker

arxiv:1808.02745 v1 · 2018-08-08 · math.PR · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KOILGRCOBCYPQNE7KPK6R66QE}

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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

1 paper in Pith

An example of multiple mean field limits in ergodic differential games

Receipt and verification

First computed	2026-05-18T00:08:32.297980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29c859a22704587c1a4fa9eaf47de81185db207cf304cb992affe1c03f82ecb

Aliases

arxiv: 1808.02745 · arxiv_version: 1808.02745v1 · doi: 10.48550/arxiv.1808.02745 · pith_short_12: 6KOILGRCOBCY · pith_short_16: 6KOILGRCOBCYPQNE · pith_short_8: 6KOILGRC

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/6KOILGRCOBCYPQNE7KPK6R66QE \
  | 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: f29c859a22704587c1a4fa9eaf47de81185db207cf304cb992affe1c03f82ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c537a412a23f29ddd58b717bb75ba598d3e0c43f0c484f03a4ea72b26f2c80fc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-08T13:09:20Z",
    "title_canon_sha256": "03a70656fabfb068e5c872db7decd5af93eb6c85399098230564a4a6811d55dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02745",
    "kind": "arxiv",
    "version": 1
  }
}