Pith Number

pith:QJ4MDZVJ

pith:2018:QJ4MDZVJL2ONPIFHYWXQESBHPQ

not attested not anchored not stored refs pending

Convergence to the Mean Field Game Limit: A Case Study

Jaime San Martin, Marcel Nutz, Xiaowei Tan

arxiv:1806.00817 v2 · 2018-06-03 · math.OC · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ4MDZVJL2ONPIFHYWXQESBHPQ}

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	2026-05-17T23:44:49.633684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8278c1e6a95e9cd7a0a7c5af0248277c3f8744c0668cbe66a144dd663438e4f6

Aliases

arxiv: 1806.00817 · arxiv_version: 1806.00817v2 · doi: 10.48550/arxiv.1806.00817 · pith_short_12: QJ4MDZVJL2ON · pith_short_16: QJ4MDZVJL2ONPIFH · pith_short_8: QJ4MDZVJ

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/QJ4MDZVJL2ONPIFHYWXQESBHPQ \
  | 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: 8278c1e6a95e9cd7a0a7c5af0248277c3f8744c0668cbe66a144dd663438e4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c2aba9dfc6b6e2960650cd6d795bded75c15ef9be39742a0c4e4f396df85d3",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-03T15:30:55Z",
    "title_canon_sha256": "c90c8fdad26d77258b612838414b86e97fb5d1c5a27d94cd2173a95135c9d3c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00817",
    "kind": "arxiv",
    "version": 2
  }
}