Pith Number

pith:SKPXJTF3

pith:2021:SKPXJTF3OG5EXV2ECAWLJMLN7I

not attested not anchored not stored refs pending

Modern Koopman Theory for Dynamical Systems

Eurika Kaiser, J. Nathan Kutz, Marko Budi\v{s}i\'c, Steven L. Brunton

arxiv:2102.12086 v2 · 2021-02-24 · math.DS · cs.LG · cs.SY · eess.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKPXJTF3OG5EXV2ECAWLJMLN7I}

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

22 papers in Pith

Data-Based Dynamical Systems Reconstruction: An Adequacy/Reliability Test

Integral Formulation of QENDy for Robust Nonlinear System Identification

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems

A Shallow Recurrent Decoder for Dynamic State Estimation with a Limited Number of PMUs in Power Systems

How Optimality Structures Sparse Dictionaries: A Theory for Understanding SAE Representations

Receipt and verification

First computed	2026-07-05T03:27:29.291053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

929f74ccbb71ba4bd744102cb4b16dfa0538b6bc2d0ba25a1407d8303a57efeb

Aliases

arxiv: 2102.12086 · arxiv_version: 2102.12086v2 · doi: 10.48550/arxiv.2102.12086 · pith_short_12: SKPXJTF3OG5E · pith_short_16: SKPXJTF3OG5EXV2E · pith_short_8: SKPXJTF3

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/SKPXJTF3OG5EXV2ECAWLJMLN7I \
  | 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: 929f74ccbb71ba4bd744102cb4b16dfa0538b6bc2d0ba25a1407d8303a57efeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b220564673d1b70c47c2966a988977eb7fa320e2c4b50cc20b872c9ed747a06",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-02-24T06:18:16Z",
    "title_canon_sha256": "50392ddd16d023e8a287fddbd24c2e63730cd5c56b07a2a26ef0ffd704c5082c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12086",
    "kind": "arxiv",
    "version": 2
  }
}