Pith Number

pith:42XG6AIC

pith:2025:42XG6AIC3KY3SR47HWPC7OMWSF

not attested not anchored not stored refs pending

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel

Wentao Tang, Xiuzhen Ye

arxiv:2511.06063 v2 · 2025-11-08 · eess.SY · cs.SY · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42XG6AIC3KY3SR47HWPC7OMWSF}

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

3 papers in Pith

Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space

A constrained symbolic regression approach for Lyapunov function discovery

Convex Hybrid Modeling: An Operator-Based Approach

Receipt and verification

First computed	2026-07-28T02:23:20.596208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ae6f0102dab1b9479f3d9e2fb99691552e9fbde7f992209165072f4d8b1a19

Aliases

arxiv: 2511.06063 · arxiv_version: 2511.06063v2 · doi: 10.48550/arxiv.2511.06063 · pith_short_12: 42XG6AIC3KY3 · pith_short_16: 42XG6AIC3KY3SR47 · pith_short_8: 42XG6AIC

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/42XG6AIC3KY3SR47HWPC7OMWSF \
  | 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: e6ae6f0102dab1b9479f3d9e2fb99691552e9fbde7f992209165072f4d8b1a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0af5d01c5ebfa4327f9b67d1f5b673f12d183103a80e1a2d5452d8b58f15be2",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-11-08T16:15:22Z",
    "title_canon_sha256": "1fa029ae8027b1aeb2cd2095218a45c2fbfec016519220cbcb6295985cc4bcc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06063",
    "kind": "arxiv",
    "version": 2
  }
}