Pith Number

pith:F2PAID2J

pith:2012:F2PAID2JZOTWSXSSBIOAEVU5TY

not attested not anchored not stored refs pending

A Maximum Principle for Optimal Control of Stochastic Evolution Equations

Kai Du, Qingxin Meng

arxiv:1206.5495 v2 · 2012-06-24 · 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{F2PAID2JZOTWSXSSBIOAEVU5TY}

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	2026-05-18T03:52:00.601290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e9e040f49cba7695e520a1c02569d9e26d670549fa46f5205ef15a7f8960ec2

Aliases

arxiv: 1206.5495 · arxiv_version: 1206.5495v2 · doi: 10.48550/arxiv.1206.5495 · pith_short_12: F2PAID2JZOTW · pith_short_16: F2PAID2JZOTWSXSS · pith_short_8: F2PAID2J

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/F2PAID2JZOTWSXSSBIOAEVU5TY \
  | 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: 2e9e040f49cba7695e520a1c02569d9e26d670549fa46f5205ef15a7f8960ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef51ac6e0170f00fee5b0c54253f202b3c0b6ab82d66a771f59744af1a318910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-24T14:08:18Z",
    "title_canon_sha256": "f2eb41bfdeff7ba8875d71a01d6f3ce7c7c8c729449db6071ca8c26773af3e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5495",
    "kind": "arxiv",
    "version": 2
  }
}