Pith Number

pith:IXBW6FD7

pith:2018:IXBW6FD7TW3E32ALXO6CWRLI47

not attested not anchored not stored refs pending

Stochastic LQ and Associated Riccati equation of PDEs Driven by State-and Control-Dependent White Noise

Shanjian Tang (School of Mathematical Sciences), Ying Hu (IRMAR)

arxiv:1809.05308 v1 · 2018-09-14 · 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{IXBW6FD7TW3E32ALXO6CWRLI47}

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	2026-05-18T00:05:44.031540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c36f147f9db64de80bbbbc2b4568e7f1558ce4868a181c9210f6b4eda7282a

Aliases

arxiv: 1809.05308 · arxiv_version: 1809.05308v1 · doi: 10.48550/arxiv.1809.05308 · pith_short_12: IXBW6FD7TW3E · pith_short_16: IXBW6FD7TW3E32AL · pith_short_8: IXBW6FD7

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/IXBW6FD7TW3E32ALXO6CWRLI47 \
  | 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: 45c36f147f9db64de80bbbbc2b4568e7f1558ce4868a181c9210f6b4eda7282a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf59c9486e35bccd7ad7b975f05ffcd1b9a92e4347042f19c36f456c5e7a86f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-14T08:57:43Z",
    "title_canon_sha256": "d3f8f62a6dc1d46649c83ca999906e9c51c35ecab3f8115665980916418bcdc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05308",
    "kind": "arxiv",
    "version": 1
  }
}