Pith Number

pith:GCLEQ3UA

pith:2012:GCLEQ3UAKAU4XUHIV4PA4PWQCQ

not attested not anchored not stored refs pending

A Maximum Principle for Optimal Control of Stochastic Evolution Equations

Kai Du, Qingxin Meng

arxiv:1206.3649 v3 · 2012-06-16 · 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{GCLEQ3UAKAU4XUHIV4PA4PWQCQ}

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	2026-05-18T03:03:55.200010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3096486e805029cbd0e8af1e0e3ed0140e093ff839c9c7fdd9fd02aec90a5825

Aliases

arxiv: 1206.3649 · arxiv_version: 1206.3649v3 · doi: 10.48550/arxiv.1206.3649 · pith_short_12: GCLEQ3UAKAU4 · pith_short_16: GCLEQ3UAKAU4XUHI · pith_short_8: GCLEQ3UA

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/GCLEQ3UAKAU4XUHIV4PA4PWQCQ \
  | 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: 3096486e805029cbd0e8af1e0e3ed0140e093ff839c9c7fdd9fd02aec90a5825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d6d3ded4ab56e4accf622ee5213b35a2899ca36c3a85be079307762f29470f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-16T09:17:49Z",
    "title_canon_sha256": "f2eb41bfdeff7ba8875d71a01d6f3ce7c7c8c729449db6071ca8c26773af3e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3649",
    "kind": "arxiv",
    "version": 3
  }
}