Pith Number

pith:LEWQJK2Q

pith:2021:LEWQJK2QWL4GBBSSBVFZGUPM2G

not attested not anchored not stored refs pending

Physics-Based Causal Lifting Linearization of Nonlinear Control Systems Underpinned by the Koopman Operator

Filippos E. Sotiropoulos, H. Harry Asada, Nicholas S. Selby

arxiv:2108.10980 v1 · 2021-08-24 · 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{LEWQJK2QWL4GBBSSBVFZGUPM2G}

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	2026-07-05T03:08:48.036183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592d04ab50b2f86086520d4b9351ecd19c6791054c5f05d8f763be97b65cdb9e

Aliases

arxiv: 2108.10980 · arxiv_version: 2108.10980v1 · doi: 10.48550/arxiv.2108.10980 · pith_short_12: LEWQJK2QWL4G · pith_short_16: LEWQJK2QWL4GBBSS · pith_short_8: LEWQJK2Q

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/LEWQJK2QWL4GBBSSBVFZGUPM2G \
  | 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: 592d04ab50b2f86086520d4b9351ecd19c6791054c5f05d8f763be97b65cdb9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c00558a9372afafeccc3814309b8bd17621c5a2a8f66e1e6e8788cd750c303",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2021-08-24T22:35:23Z",
    "title_canon_sha256": "1315e1e0342bb5bb0d80f630968adee824402d303472ce2b6e1fc77237260242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10980",
    "kind": "arxiv",
    "version": 1
  }
}