Pith Number

pith:5VOFBEJT

pith:2017:5VOFBEJTEUIWEZ7LFWQPMS5SQG

not attested not anchored not stored refs pending

Data-Based Optimal Control of Multi-Agent Systems: A Reinforcement Learning Design Approach

Hongwei Zhang, Jilie Zhang, Zhanshan Wang

arxiv:1711.11422 v2 · 2017-11-30 · 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{5VOFBEJTEUIWEZ7LFWQPMS5SQG}

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	2026-05-17T23:45:53.329031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5c50913325116267eb2da0f64bb281b3f7f1a085410c39daa6cbd0180527c2

Aliases

arxiv: 1711.11422 · arxiv_version: 1711.11422v2 · doi: 10.48550/arxiv.1711.11422 · pith_short_12: 5VOFBEJTEUIW · pith_short_16: 5VOFBEJTEUIWEZ7L · pith_short_8: 5VOFBEJT

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/5VOFBEJTEUIWEZ7LFWQPMS5SQG \
  | 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: ed5c50913325116267eb2da0f64bb281b3f7f1a085410c39daa6cbd0180527c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de613052cc678aace24e14ab40a69a31be1f58f7e3945ac75b230011f3d256f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-30T14:31:04Z",
    "title_canon_sha256": "59c2445d9eca7c243ec7ae9b55fe8dced1363acbd1cc3d69355f134972524718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11422",
    "kind": "arxiv",
    "version": 2
  }
}