Pith Number

pith:YQNEHK45

pith:2015:YQNEHK456IKRKLT7N5YEZKIUKS

not attested not anchored not stored refs pending

Open-Loop and Closed-Loop Solvabilities for Stochastic Linear Quadratic Optimal Control Problems

Jingrui Sun, Jiongmin Yong, Xun Li

arxiv:1508.02163 v1 · 2015-08-10 · 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{YQNEHK456IKRKLT7N5YEZKIUKS}

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	2026-05-18T01:35:33.995484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c41a43ab9df215152e7f6f704ca914549679fa7d7d702c36c7dc167f24b22e31

Aliases

arxiv: 1508.02163 · arxiv_version: 1508.02163v1 · doi: 10.48550/arxiv.1508.02163 · pith_short_12: YQNEHK456IKR · pith_short_16: YQNEHK456IKRKLT7 · pith_short_8: YQNEHK45

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/YQNEHK456IKRKLT7N5YEZKIUKS \
  | 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: c41a43ab9df215152e7f6f704ca914549679fa7d7d702c36c7dc167f24b22e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1c1fc2b67980aed24860c458a96ab078370eb6c69f47d66b0308614a42a079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-10T08:23:22Z",
    "title_canon_sha256": "f8dbce41733b05bf004676affe0b460c37c3779788f32c9e8c9f4515c27a9656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02163",
    "kind": "arxiv",
    "version": 1
  }
}