Pith Number

pith:UXYATHYV

pith:2026:UXYATHYV6RRAFWDO5WUDKKV2ZO

not attested not anchored not stored refs pending

Stochastic LQ Optimal Control with Random Coefficients and a Terminal Mean-Field Cost

Guojiang Shao, Qi Zhang, Zuo Quan Xu

arxiv:2605.26721 v1 · 2026-05-26 · 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{UXYATHYV6RRAFWDO5WUDKKV2ZO}

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	2026-05-27T01:06:09.229176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f0099f15f46202d86eeda8352abacbb042f8584a0540d741b381126698dcaf

Aliases

arxiv: 2605.26721 · arxiv_version: 2605.26721v1 · doi: 10.48550/arxiv.2605.26721 · pith_short_12: UXYATHYV6RRA · pith_short_16: UXYATHYV6RRAFWDO · pith_short_8: UXYATHYV

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/UXYATHYV6RRAFWDO5WUDKKV2ZO \
  | 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: a5f0099f15f46202d86eeda8352abacbb042f8584a0540d741b381126698dcaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a883b4abebbc1eb5311d11161b9816e537e8de6b134c47bca98c9616f5a118a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-26T09:02:13Z",
    "title_canon_sha256": "c408823bb24799dd1cc84093e6e77cb0472089f8fd9baab15cfbea399ba8e336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26721",
    "kind": "arxiv",
    "version": 1
  }
}