Pith Number

pith:BDZEHWNV

pith:2019:BDZEHWNV3VZX2JA2OLUGPMFJRV

not attested not anchored not stored refs pending

Mean Field Game for Linear Quadratic Stochastic Recursive Systems

Liangquan Zhang, Xun Li

arxiv:1908.05063 v1 · 2019-08-14 · 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{BDZEHWNV3VZX2JA2OLUGPMFJRV}

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	2026-07-05T02:30:10.730061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f243d9b5dd737d241a72e867b0a98d5bec54f0d289d710fab57aef0b19e90e

Aliases

arxiv: 1908.05063 · arxiv_version: 1908.05063v1 · doi: 10.48550/arxiv.1908.05063 · pith_short_12: BDZEHWNV3VZX · pith_short_16: BDZEHWNV3VZX2JA2 · pith_short_8: BDZEHWNV

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/BDZEHWNV3VZX2JA2OLUGPMFJRV \
  | 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: 08f243d9b5dd737d241a72e867b0a98d5bec54f0d289d710fab57aef0b19e90e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b584051345c6f9da1e3c9bf5140fe511d7c5db4ed56f3c8a56aec96ba2abb46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-14T10:37:05Z",
    "title_canon_sha256": "5124a82705148fba1dac29a614b3fa88509e691c62d43e3a494b1f244af3eabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05063",
    "kind": "arxiv",
    "version": 1
  }
}