Pith Number

pith:HKK3VRGS

pith:2015:HKK3VRGSVCXHCVY3FAI5RTLFEU

not attested not anchored not stored refs pending

Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Open-Loop Solvabilities

Jingrui Sun

arxiv:1509.02100 v2 · 2015-09-07 · 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{HKK3VRGSVCXHCVY3FAI5RTLFEU}

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	2026-05-18T01:32:59.052383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a95bac4d2a8ae71571b2811d8cd65250be6172e7be641b5ce937df450b7f698

Aliases

arxiv: 1509.02100 · arxiv_version: 1509.02100v2 · doi: 10.48550/arxiv.1509.02100 · pith_short_12: HKK3VRGSVCXH · pith_short_16: HKK3VRGSVCXHCVY3 · pith_short_8: HKK3VRGS

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/HKK3VRGSVCXHCVY3FAI5RTLFEU \
  | 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: 3a95bac4d2a8ae71571b2811d8cd65250be6172e7be641b5ce937df450b7f698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad962ab0f5ee654afb1607459bcf8fdbf2227e10fe850d4e07475e93b25161f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-07T15:58:44Z",
    "title_canon_sha256": "ba565c21c770a8d01c44887a3db82536337333bc8755a9fa16d8ce20537a6bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02100",
    "kind": "arxiv",
    "version": 2
  }
}