Pith Number

pith:2OBY3GPX

pith:2018:2OBY3GPXQMUH4G4ZUKNBCEUNPZ

not attested not anchored not stored refs pending

Remarks on Nash equilibria in mean field game models with a major player

Alessio Porretta (DIPMAT), Marco Cirant, Pierre Cardaliaguet (CEREMADE)

arxiv:1811.02811 v1 · 2018-11-07 · 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{2OBY3GPXQMUH4G4ZUKNBCEUNPZ}

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	2026-05-18T00:01:20.703775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3838d99f783287e1b99a29a11128d7e6e7869483b1b0e2b212a072c0ac6e332

Aliases

arxiv: 1811.02811 · arxiv_version: 1811.02811v1 · doi: 10.48550/arxiv.1811.02811 · pith_short_12: 2OBY3GPXQMUH · pith_short_16: 2OBY3GPXQMUH4G4Z · pith_short_8: 2OBY3GPX

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/2OBY3GPXQMUH4G4ZUKNBCEUNPZ \
  | 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: d3838d99f783287e1b99a29a11128d7e6e7869483b1b0e2b212a072c0ac6e332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4186e1013c8283e9fc48d9a58a6e78e96fc6631a70c4d80359966cfa3bc84d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-07T09:51:03Z",
    "title_canon_sha256": "a4e0075632cc80a0f7df68903626712314272b233ba7f3fc08f5a8eb8d3263bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02811",
    "kind": "arxiv",
    "version": 1
  }
}