Pith Number

pith:WKG3K34M

pith:2018:WKG3K34M55LANFJ3HYPAK2Q7ST

not attested not anchored not stored refs pending

A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations

Christoph Trautwein, Peter Benner

arxiv:1810.12119 v1 · 2018-10-26 · 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{WKG3K34M55LANFJ3HYPAK2Q7ST}

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	2026-05-18T00:02:04.243883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28db56f8cef5606953b3e1e056a1f94f9678c33e61c6369bc3562f4aba83675

Aliases

arxiv: 1810.12119 · arxiv_version: 1810.12119v1 · doi: 10.48550/arxiv.1810.12119 · pith_short_12: WKG3K34M55LA · pith_short_16: WKG3K34M55LANFJ3 · pith_short_8: WKG3K34M

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/WKG3K34M55LANFJ3HYPAK2Q7ST \
  | 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: b28db56f8cef5606953b3e1e056a1f94f9678c33e61c6369bc3562f4aba83675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5acce89c0d668e99a3ee8d59e03d0cd3986d220ab0aa3a4fc01588fc3e8aa91f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-26T09:46:39Z",
    "title_canon_sha256": "13c4a648463c38b168cb98bbabed80413a282c717948c2bf32c9d2f61b94e021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12119",
    "kind": "arxiv",
    "version": 1
  }
}