Pith Number

pith:WLKMEYIC

pith:2024:WLKMEYIC5Z4X2PTSCOJLNWJFBE

not attested not anchored not stored refs pending

An efficient gradient projection method for stochastic optimal control problem with expected integral state constraint

Qiming Wang, Wenbin Liu

arxiv:2412.17363 v1 · 2024-12-23 · 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{WLKMEYIC5Z4X2PTSCOJLNWJFBE}

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	2026-07-05T09:53:21.444027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d4c26102ee797d3e721392b6d925090f1e4b63c90d121c83363b5661066ea0

Aliases

arxiv: 2412.17363 · arxiv_version: 2412.17363v1 · doi: 10.48550/arxiv.2412.17363 · pith_short_12: WLKMEYIC5Z4X · pith_short_16: WLKMEYIC5Z4X2PTS · pith_short_8: WLKMEYIC

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/WLKMEYIC5Z4X2PTSCOJLNWJFBE \
  | 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: b2d4c26102ee797d3e721392b6d925090f1e4b63c90d121c83363b5661066ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b43ff8ce1aaa5cf98ec048665a9616bc2a637414d4028799907099b0f821c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-23T07:53:38Z",
    "title_canon_sha256": "25fef6e515e9686e22c8bf5cab88cdba217866e11f3db40b2bf50c87915601b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17363",
    "kind": "arxiv",
    "version": 1
  }
}