Pith Number

pith:WBZS7R2M

pith:2015:WBZS7R2M5CRXG5PEP24KRKPVFT

not attested not anchored not stored refs pending

Controllability of ensembles of linear dynamical systems

Michael Sch\"onlein, Uwe Helmke

arxiv:1504.06167 v2 · 2015-04-23 · 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{WBZS7R2M5CRXG5PEP24KRKPVFT}

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	2026-05-18T01:36:27.437474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0732fc74ce8a37375e47eb8a8a9f52cc535f6cfe4ed4b073e26269d1f91baad

Aliases

arxiv: 1504.06167 · arxiv_version: 1504.06167v2 · doi: 10.48550/arxiv.1504.06167 · pith_short_12: WBZS7R2M5CRX · pith_short_16: WBZS7R2M5CRXG5PE · pith_short_8: WBZS7R2M

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/WBZS7R2M5CRXG5PEP24KRKPVFT \
  | 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: b0732fc74ce8a37375e47eb8a8a9f52cc535f6cfe4ed4b073e26269d1f91baad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2392e6ac4154d148731d33ec5187abcaffb6a61780391281f0ee8ef0b683f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-04-23T13:10:35Z",
    "title_canon_sha256": "ff8e2be2761c5ae9ee957d6400e5cfc1420b54b9273b33cf21c6592fc3d8a181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06167",
    "kind": "arxiv",
    "version": 2
  }
}