Pith Number

pith:VSU66YS6

pith:2026:VSU66YS6UNKMGRFAD6ML4HTHC4

not attested not anchored not stored refs pending

Koopman meets input-output data: Data-driven output-feedback control of nonlinear systems with closed-loop guarantees

Frank Allg\"ower, Julian Berberich, Karl Worthmann, Manuel Schaller, Robin Str\"asser

arxiv:2606.07758 v1 · 2026-06-05 · eess.SY · cs.SY · 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{VSU66YS6UNKMGRFAD6ML4HTHC4}

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.

Cited by

1 paper in Pith

Koopman operator theory: fundamentals, control, and applications

Receipt and verification

First computed	2026-06-09T01:04:51.363078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca9ef625ea354c344a01f98be1e67173543b588f6a5e91a1b545c98e249b06c

Aliases

arxiv: 2606.07758 · arxiv_version: 2606.07758v1 · doi: 10.48550/arxiv.2606.07758 · pith_short_12: VSU66YS6UNKM · pith_short_16: VSU66YS6UNKMGRFA · pith_short_8: VSU66YS6

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/VSU66YS6UNKMGRFAD6ML4HTHC4 \
  | 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: aca9ef625ea354c344a01f98be1e67173543b588f6a5e91a1b545c98e249b06c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104d2e5844506a7f385ae3725c4ab46fe58a78551db45bf426b31ba8aff3795b",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-06-05T18:13:50Z",
    "title_canon_sha256": "1f5f98442eff689facda6145a83cad413b9696322d0fce099daabc58a3b7f1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07758",
    "kind": "arxiv",
    "version": 1
  }
}