Pith Number

pith:JCWJA3IO

pith:2020:JCWJA3IOBEFCZVNHQ7VSA2UEV2

not attested not anchored not stored refs pending

Data-Driven Koopman Controller Synthesis Based on the Extended $\mathcal{H}_2$ Norm Characterization

Atsushi Yamashita, Daisuke Uchida, Hajime Asama

arxiv:2011.03716 v1 · 2020-11-07 · 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{JCWJA3IOBEFCZVNHQ7VSA2UEV2}

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	2026-07-05T02:14:55.824362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ac906d0e090a2cd5a787eb206a84aebd260c05df867a530be2b67583eccf7b

Aliases

arxiv: 2011.03716 · arxiv_version: 2011.03716v1 · doi: 10.48550/arxiv.2011.03716 · pith_short_12: JCWJA3IOBEFC · pith_short_16: JCWJA3IOBEFCZVNH · pith_short_8: JCWJA3IO

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/JCWJA3IOBEFCZVNHQ7VSA2UEV2 \
  | 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: 48ac906d0e090a2cd5a787eb206a84aebd260c05df867a530be2b67583eccf7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7ff2330d854dbd5a4db6270fd264d3b3584dd42d4948dcc89c0da64ce83426",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-11-07T07:36:20Z",
    "title_canon_sha256": "773bd80cd36dd13d1d3de447bb504e08f410554271816570fb0bcddf0f77bea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.03716",
    "kind": "arxiv",
    "version": 1
  }
}