Pith Number

pith:ZO4SKPEN

pith:2026:ZO4SKPENQFS5J5SLXF6WD6NNMZ

not attested not anchored not stored refs pending

Mean field games with terminal state constraints

Luca Di Persio, Luciano Campi, Viktorya Vardanyan

arxiv:2606.11493 v1 · 2026-06-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO4SKPENQFS5J5SLXF6WD6NNMZ}

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	2026-06-11T01:09:52.246030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb9253c8d8165d4f64bb97d61f9ad664b9204150a84834247a90637c1403a55

Aliases

arxiv: 2606.11493 · arxiv_version: 2606.11493v1 · doi: 10.48550/arxiv.2606.11493 · pith_short_12: ZO4SKPENQFS5 · pith_short_16: ZO4SKPENQFS5J5SL · pith_short_8: ZO4SKPEN

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/ZO4SKPENQFS5J5SLXF6WD6NNMZ \
  | 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: cbb9253c8d8165d4f64bb97d61f9ad664b9204150a84834247a90637c1403a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb53e6a5bfea72e3c7316b881f880192f41e74e18227e74f4cf9752f305b9e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-09T22:27:09Z",
    "title_canon_sha256": "8c84221f18c72404009c843142e8755ce2d00b7ce8d326f4e5697f9d1fb1c4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11493",
    "kind": "arxiv",
    "version": 1
  }
}