Pith Number

pith:6UTF3JMQ

pith:2025:6UTF3JMQDDX5XIMB2PODGGTPPV

not attested not anchored not stored refs pending

Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces

Gustav Conradie, Matthew J. Colbrook, Nicolas Boull\'e

arxiv:2506.15782 v1 · 2025-06-18 · math.NA · cs.LG · cs.NA · math.DS · math.SP · 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{6UTF3JMQDDX5XIMB2PODGGTPPV}

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

2 papers in Pith

Finite-Query Collapse and Modal Exact Bases in the SCI Hierarchy

Deep Embedded Multiplicative DMD for Algebra-Preserving Koopman Learning

Receipt and verification

First computed	2026-07-05T11:23:51.968891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5265da59018efdba181d3dc331a6f7d57efff1df6661ee7771c1a6aeea8df2d

Aliases

arxiv: 2506.15782 · arxiv_version: 2506.15782v1 · doi: 10.48550/arxiv.2506.15782 · pith_short_12: 6UTF3JMQDDX5 · pith_short_16: 6UTF3JMQDDX5XIMB · pith_short_8: 6UTF3JMQ

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/6UTF3JMQDDX5XIMB2PODGGTPPV \
  | 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: f5265da59018efdba181d3dc331a6f7d57efff1df6661ee7771c1a6aeea8df2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3a90ea828aa05df314ba1bcca4fd263683609d8f86aeb46bcc5c3de86e7194",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.DS",
      "math.SP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-18T18:00:08Z",
    "title_canon_sha256": "3a60d896b9d5db9620470d9c3ad5d9b2b1d8885cfdf78a5a082089ae78938248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15782",
    "kind": "arxiv",
    "version": 1
  }
}