Pith Number

pith:TEN4NPA5

pith:2023:TEN4NPA53Y3UEKLGDKIQ63SIOF

not attested not anchored not stored refs pending

Learning Regions of Attraction in Unknown Dynamical Systems via Zubov-Koopman Lifting: Regularities and Convergence

Jun Liu, Ruikun Zhou, Yiming Meng

arxiv:2311.15119 v2 · 2023-11-25 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEN4NPA53Y3UEKLGDKIQ63SIOF}

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	2026-07-05T08:37:15.715070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991bc6bc1dde374229661a910f6e4871721903337daebbb272c09d16b8f0a570

Aliases

arxiv: 2311.15119 · arxiv_version: 2311.15119v2 · doi: 10.48550/arxiv.2311.15119 · pith_short_12: TEN4NPA53Y3U · pith_short_16: TEN4NPA53Y3UEKLG · pith_short_8: TEN4NPA5

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/TEN4NPA53Y3UEKLGDKIQ63SIOF \
  | 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: 991bc6bc1dde374229661a910f6e4871721903337daebbb272c09d16b8f0a570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad259c9b17ac06af627125e52b234d9004c4b1809b1e57c240b767f66888a568",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-11-25T21:42:02Z",
    "title_canon_sha256": "8b44c0381f9be9a124e14786c26a54b9e54a5390d3d5ccb0e5a496b254cd657b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15119",
    "kind": "arxiv",
    "version": 2
  }
}