Pith Number

pith:4KJMLYZN

pith:2025:4KJMLYZNCJLOLQRBXJEJ4YA3W5

not attested not anchored not stored refs pending

A Koopman Operator Approach to Data-Driven Control of Semilinear Parabolic Systems

Joachim Deutscher, Tarik Enderes

arxiv:2504.11959 v1 · 2025-04-16 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KJMLYZNCJLOLQRBXJEJ4YA3W5}

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.

Receipt and verification

First computed	2026-07-05T10:50:00.484389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e292c5e32d1256e5c221ba489e601bb7628c6b7d5fc3089fadb77cd497d78111

Aliases

arxiv: 2504.11959 · arxiv_version: 2504.11959v1 · doi: 10.48550/arxiv.2504.11959 · pith_short_12: 4KJMLYZNCJLO · pith_short_16: 4KJMLYZNCJLOLQRB · pith_short_8: 4KJMLYZN

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/4KJMLYZNCJLOLQRBXJEJ4YA3W5 \
  | 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: e292c5e32d1256e5c221ba489e601bb7628c6b7d5fc3089fadb77cd497d78111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d5463dc3fa5defe1ecb1578ad5fc650ce98e5305491a65ca91088dbd7235c6",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-04-16T10:41:45Z",
    "title_canon_sha256": "84b86baf5e5c99e7af06ea1dc9e3792c2441205f04d49daafa7740b21e9b0d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11959",
    "kind": "arxiv",
    "version": 1
  }
}