Pith Number

pith:XWUPT7XE

pith:2012:XWUPT7XEYIYOWMQIPZWCU2AWDP

not attested not anchored not stored refs pending

A Linear-Quadratic Optimal Control Problem for Mean-Field Stochastic Differential Equations in Infinite Horizon

Jianhui Huang, Jiongmin Yong, Xun Li

arxiv:1208.5308 v1 · 2012-08-27 · 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{XWUPT7XEYIYOWMQIPZWCU2AWDP}

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	2026-05-18T03:46:59.828148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda8f9fee4c230eb32087e6c2a68161bc3572de44d2c160d5f33ddc40d238552

Aliases

arxiv: 1208.5308 · arxiv_version: 1208.5308v1 · doi: 10.48550/arxiv.1208.5308 · pith_short_12: XWUPT7XEYIYO · pith_short_16: XWUPT7XEYIYOWMQI · pith_short_8: XWUPT7XE

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/XWUPT7XEYIYOWMQIPZWCU2AWDP \
  | 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: bda8f9fee4c230eb32087e6c2a68161bc3572de44d2c160d5f33ddc40d238552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d811b29a0d45144f8c16df7083802ef0e9811573d18289eddbf0c3f36bbf71fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-27T07:16:46Z",
    "title_canon_sha256": "1f77ccaec79e226707dd7d245e4d12dea83402e23d91164bc3fe1dc24372533b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5308",
    "kind": "arxiv",
    "version": 1
  }
}