Pith Number

pith:646CTRFH

pith:2019:646CTRFHFNXO4DYZXGHECE4QTP

not attested not anchored not stored refs pending

Data-driven approximation of the Koopman generator: Model reduction, system identification, and control

Cecilia Clementi, Christof Sch\"utte, Feliks N\"uske, Jan-Hendrik Niemann, Sebastian Peitz, Stefan Klus

arxiv:1909.10638 v2 · 2019-09-23 · math.DS · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{646CTRFHFNXO4DYZXGHECE4QTP}

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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

1 paper in Pith

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition

Receipt and verification

First computed	2026-07-05T00:48:19.295307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73c29c4a72b6eee0f19b98e4113909be4b25c627884585534781e0269f7b955

Aliases

arxiv: 1909.10638 · arxiv_version: 1909.10638v2 · doi: 10.48550/arxiv.1909.10638 · pith_short_12: 646CTRFHFNXO · pith_short_16: 646CTRFHFNXO4DYZ · pith_short_8: 646CTRFH

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/646CTRFHFNXO4DYZXGHECE4QTP \
  | 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: f73c29c4a72b6eee0f19b98e4113909be4b25c627884585534781e0269f7b955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906641c072cad5f5d60238496aca6f08925834ed2c0d99aa995da1abd9f61142",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-09-23T22:10:50Z",
    "title_canon_sha256": "76eb8ac50cb68eb9149412e61939057cfbec2785ccd7ffa2b68ece6931626723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10638",
    "kind": "arxiv",
    "version": 2
  }
}