Pith Number

pith:RQM7RT2W

pith:2012:RQM7RT2W6DKSL5LTBERBTZC2KN

not attested not anchored not stored refs pending

General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions

Qi L\"u, Xu Zhang

arxiv:1204.3275 v5 · 2012-04-15 · math.OC · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQM7RT2W6DKSL5LTBERBTZC2KN}

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	2026-05-18T03:41:56.313754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c19f8cf56f0d525f573092219e45a5360f6edbcb28c5b58ad9a7f34eca6f3d2

Aliases

arxiv: 1204.3275 · arxiv_version: 1204.3275v5 · doi: 10.48550/arxiv.1204.3275 · pith_short_12: RQM7RT2W6DKS · pith_short_16: RQM7RT2W6DKSL5LT · pith_short_8: RQM7RT2W

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/RQM7RT2W6DKSL5LTBERBTZC2KN \
  | 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: 8c19f8cf56f0d525f573092219e45a5360f6edbcb28c5b58ad9a7f34eca6f3d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b0669b4f632fe967547bdb41e985fe8e3f0841a2e3b2c0897c3ff674447b5e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-04-15T14:29:46Z",
    "title_canon_sha256": "30f47fd4cc1c416f8f57715db8946dcfb3121088e138bea9e35a8803ecdd6a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3275",
    "kind": "arxiv",
    "version": 5
  }
}