Pith Number

pith:42RZP6FL

pith:2026:42RZP6FL6MDQQ7NUUFZKKEXGSM

not attested not anchored not stored refs pending

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics

Kazuhiro Sato, Yuki Higuchi

arxiv:2607.25658 v1 · 2026-07-28 · 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{42RZP6FL6MDQQ7NUUFZKKEXGSM}

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	2026-07-29T01:25:55.209134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a397f8abf307087db4a172a512e69312c347eda20321e865fb6c8e8891e27c

Aliases

arxiv: 2607.25658 · arxiv_version: 2607.25658v1 · doi: 10.48550/arxiv.2607.25658 · pith_short_12: 42RZP6FL6MDQ · pith_short_16: 42RZP6FL6MDQQ7NU · pith_short_8: 42RZP6FL

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/42RZP6FL6MDQQ7NUUFZKKEXGSM \
  | 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: e6a397f8abf307087db4a172a512e69312c347eda20321e865fb6c8e8891e27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a0cd959a82ca4c065c0837e94643eb381743aa604973b75ff01c819bcb5012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-28T12:43:58Z",
    "title_canon_sha256": "7d0a3fd3390d48b31e7114d8da2f43b995fdba3738c71b3e73e5d4f39a4b9fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25658",
    "kind": "arxiv",
    "version": 1
  }
}