Pith Number

pith:BEZQRGFN

pith:2022:BEZQRGFNVB5MMIR7WMJVX7JNX3

not attested not anchored not stored refs pending

Learned Lifted Linearization Applied to Unstable Dynamic Systems Enabled by Koopman Direct Encoding

H. Harry Asada, Jerry Ng

arxiv:2210.13602 v2 · 2022-10-24 · cs.LG · cs.SY · eess.SY · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEZQRGFNVB5MMIR7WMJVX7JNX3}

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	2026-07-05T05:33:20.002021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09330898ada87ac6223fb3135bfd2dbeccfbace5eee3eaa0cd1918baeaa59ee3

Aliases

arxiv: 2210.13602 · arxiv_version: 2210.13602v2 · doi: 10.48550/arxiv.2210.13602 · pith_short_12: BEZQRGFNVB5M · pith_short_16: BEZQRGFNVB5MMIR7 · pith_short_8: BEZQRGFN

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/BEZQRGFNVB5MMIR7WMJVX7JNX3 \
  | 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: 09330898ada87ac6223fb3135bfd2dbeccfbace5eee3eaa0cd1918baeaa59ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64bdc56d99b7d8076b7e4ae9b4f2fedecb273db52f602480046ab7c2d556b9ed",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-24T20:55:46Z",
    "title_canon_sha256": "7fb33c07c986c6c1b9990d565ddfa71e48d0c011f4d6584dce88d0870845c991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13602",
    "kind": "arxiv",
    "version": 2
  }
}