Pith Number

pith:IYYVQL7Y

pith:2020:IYYVQL7Y57I3OSUVL55F63ZK3G

not attested not anchored not stored refs pending

Deep Learning of Koopman Representation for Control

Umesh Vaidya, Wenjian Hao, Yiqiang Han

arxiv:2010.07546 v1 · 2020-10-15 · cs.LG · cs.SY · eess.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{IYYVQL7Y57I3OSUVL55F63ZK3G}

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	2026-07-05T01:43:18.154983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4631582ff8efd1b74a955f7a5f6f2ad9823021542f034eb6b028667179ee9440

Aliases

arxiv: 2010.07546 · arxiv_version: 2010.07546v1 · doi: 10.48550/arxiv.2010.07546 · pith_short_12: IYYVQL7Y57I3 · pith_short_16: IYYVQL7Y57I3OSUV · pith_short_8: IYYVQL7Y

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/IYYVQL7Y57I3OSUVL55F63ZK3G \
  | 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: 4631582ff8efd1b74a955f7a5f6f2ad9823021542f034eb6b028667179ee9440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d47be43292632dad9beead16eb33aa309927b280c78d02946710916e266b597",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-10-15T06:41:24Z",
    "title_canon_sha256": "78675dc650ccc1b877b79e11569f4a2efa6c14abea6505f156515f6858cfe137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07546",
    "kind": "arxiv",
    "version": 1
  }
}