Pith Number

pith:OK2M6VLL

pith:2014:OK2M6VLLB3BJ36VTRZOKUXRLWW

not attested not anchored not stored refs pending

A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Clarence W. Rowley, Ioannis G. Kevrekidis, Matthew O. Williams

arxiv:1408.4408 v1 · 2014-08-19 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OK2M6VLLB3BJ36VTRZOKUXRLWW}

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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

13 papers in Pith

Optimization of randomized neural networks for transfer operator approximation

Latent Linear Quadratic Regulator for Robotic Control Tasks

Data-driven analysis of metastability in a stochastic bistable system

Controlling Transient Amplification Improves Long-horizon Rollouts

Spatio-Temporal Prediction via Operator-Valued RKHS and Koopman Approximation

Receipt and verification

First computed	2026-05-18T01:36:20.567800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b4cf556b0ec29dfab38e5caa5e2bb5aa23d35aa2f8b9f8bebd415bb4662abd

Aliases

arxiv: 1408.4408 · arxiv_version: 1408.4408v1 · doi: 10.48550/arxiv.1408.4408 · pith_short_12: OK2M6VLLB3BJ · pith_short_16: OK2M6VLLB3BJ36VT · pith_short_8: OK2M6VLL

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/OK2M6VLLB3BJ36VTRZOKUXRLWW \
  | 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: 72b4cf556b0ec29dfab38e5caa5e2bb5aa23d35aa2f8b9f8bebd415bb4662abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d1c98ed974d1b08d51fc95abaa7314ab1325ba7128b4a81122f38bc012ef0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-19T17:41:20Z",
    "title_canon_sha256": "7ea77f005ff905eff453936d88dccb014c4b1745e6771209cbca44b29241541c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4408",
    "kind": "arxiv",
    "version": 1
  }
}