Pith Number

pith:YUARYF6T

pith:2013:YUARYF6TDO6EU2RVUMZPIQFGPY

not attested not anchored not stored refs pending

Mean Field Linear-Quadratic-Gaussian (LQG) Games of Forward-Backward Stochastic Differential Equations

Hua Xiao, Jianhui Huang, Shujun Wang

arxiv:1311.1876 v2 · 2013-11-08 · math.OC · 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{YUARYF6TDO6EU2RVUMZPIQFGPY}

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	2026-05-18T02:56:12.524320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5011c17d31bbc4a6a35a332f440a67e3aec01aa08819d64ab2904d7e577c633

Aliases

arxiv: 1311.1876 · arxiv_version: 1311.1876v2 · doi: 10.48550/arxiv.1311.1876 · pith_short_12: YUARYF6TDO6E · pith_short_16: YUARYF6TDO6EU2RV · pith_short_8: YUARYF6T

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/YUARYF6TDO6EU2RVUMZPIQFGPY \
  | 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: c5011c17d31bbc4a6a35a332f440a67e3aec01aa08819d64ab2904d7e577c633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f082088c6d17b446a1f8486c0b65512748522f2a9173dca284c9c22ec6b77fa",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-08T03:45:06Z",
    "title_canon_sha256": "6545293757bfec08e84cecd3a09b718aca0a517c1b696c390e64993254cc0e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1876",
    "kind": "arxiv",
    "version": 2
  }
}