Pith Number

pith:KZBTXIOQ

pith:2025:KZBTXIOQGKEPCLMRTHCJMWGY5U

not attested not anchored not stored refs pending

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

Isao Ishikawa, Kaidi Shao, Nikos Logothetis, Yuanchao Xu, Yuka Hashimoto, Zhongwei Shen

arxiv:2501.13301 v4 · 2025-01-23 · math.DS

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\usepackage{pith}
\pithnumber{KZBTXIOQGKEPCLMRTHCJMWGY5U}

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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

Reinforcement-Learning-Guided Data-Driven Estimation of Spectral Properties of Stochastic Koopman Semigroups

Receipt and verification

First computed	2026-07-05T11:55:37.891015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56433ba1d03288f12d9199c49658d8ed1e60da65833d1509d5a3821ae1e0e660

Aliases

arxiv: 2501.13301 · arxiv_version: 2501.13301v4 · doi: 10.48550/arxiv.2501.13301 · pith_short_12: KZBTXIOQGKEP · pith_short_16: KZBTXIOQGKEPCLMR · pith_short_8: KZBTXIOQ

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/KZBTXIOQGKEPCLMRTHCJMWGY5U \
  | 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: 56433ba1d03288f12d9199c49658d8ed1e60da65833d1509d5a3821ae1e0e660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402b7226205436687683a9c2d67d4c738c93a9decc5aa03717a013f902ba632d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-23T01:02:52Z",
    "title_canon_sha256": "bda7df44b9488bcf0eb58b5d65a594e6c23a8e429a390ce64a308ac760fc364f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13301",
    "kind": "arxiv",
    "version": 4
  }
}