Pith Number

pith:HWBZOETY

pith:2012:HWBZOETY44UAMXTJTSSBKXZ4LJ

not attested not anchored not stored refs pending

An optimal control problem for functional forward-backward stochastic systems and related Path-dependent HJB equations

Shaolin Ji, Shuzhen Yang

arxiv:1204.6543 v3 · 2012-04-30 · math.PR · 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{HWBZOETY44UAMXTJTSSBKXZ4LJ}

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	2026-05-18T03:37:28.994830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d83971278e728065e699ca4155f3c5a6745e923481c1c1d16614d571f801e49

Aliases

arxiv: 1204.6543 · arxiv_version: 1204.6543v3 · doi: 10.48550/arxiv.1204.6543 · pith_short_12: HWBZOETY44UA · pith_short_16: HWBZOETY44UAMXTJ · pith_short_8: HWBZOETY

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/HWBZOETY44UAMXTJTSSBKXZ4LJ \
  | 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: 3d83971278e728065e699ca4155f3c5a6745e923481c1c1d16614d571f801e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8381eba372720435ee41f1e1b59eddc041a28a5ab8596792d2e963ef940140",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-30T03:30:44Z",
    "title_canon_sha256": "5f5df300641b5c267668bd1ff86e07559b4bc1eed15d55260e93533bb546b17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6543",
    "kind": "arxiv",
    "version": 3
  }
}