Pith Number

pith:USLDDDTG

pith:2019:USLDDDTGRRB5BENQJJEE45Q3CB

not attested not anchored not stored refs pending

First and Second Order Necessary Optimality Conditions for Controlled Stochastic Evolution Equations with Control and State Constraints

H\'el\`ene Frankowska, Qi L\"u

arxiv:1901.06517 v1 · 2019-01-19 · 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{USLDDDTGRRB5BENQJJEE45Q3CB}

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	2026-05-17T23:55:50.020614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a496318e668c43d091b04a484e761b10729d4abeb1f6c0207d46be57b8c49a51

Aliases

arxiv: 1901.06517 · arxiv_version: 1901.06517v1 · doi: 10.48550/arxiv.1901.06517 · pith_short_12: USLDDDTGRRB5 · pith_short_16: USLDDDTGRRB5BENQ · pith_short_8: USLDDDTG

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/USLDDDTGRRB5BENQJJEE45Q3CB \
  | 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: a496318e668c43d091b04a484e761b10729d4abeb1f6c0207d46be57b8c49a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0de226360e596edf91a02880cab9584b5d34b1676b9f4a1325a5e35c7f87bdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-19T13:09:23Z",
    "title_canon_sha256": "f251a79eca81b54cef7dbe574685b18f9a9257c44e263c29c81920cd31adfa4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06517",
    "kind": "arxiv",
    "version": 1
  }
}