Pith Number

pith:VQM6ATE7

pith:2018:VQM6ATE7ZLSUEMBQFTJUGIV3MP

not attested not anchored not stored refs pending

Mean Field Game with Delay: a Toy Model

Jean-Pierre Fouque, Zhaoyu Zhang

arxiv:1807.04795 v2 · 2018-07-12 · 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{VQM6ATE7ZLSUEMBQFTJUGIV3MP}

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	2026-05-18T00:07:49.112807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac19e04c9fcae54230302cd34322bb63c650c9311b70cbdc5defbbc2233dbd7b

Aliases

arxiv: 1807.04795 · arxiv_version: 1807.04795v2 · doi: 10.48550/arxiv.1807.04795 · pith_short_12: VQM6ATE7ZLSU · pith_short_16: VQM6ATE7ZLSUEMBQ · pith_short_8: VQM6ATE7

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/VQM6ATE7ZLSUEMBQFTJUGIV3MP \
  | 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: ac19e04c9fcae54230302cd34322bb63c650c9311b70cbdc5defbbc2233dbd7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a22a65da4c71ca6054e3416cb301d34c1d9e338658e20acacacd9c180af3859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-12T19:25:15Z",
    "title_canon_sha256": "79cda6a4c9712868dcbb2b6a34b10f0f2c45c16181ae76612ec4d60ea32783c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04795",
    "kind": "arxiv",
    "version": 2
  }
}