Pith Number

pith:K7CZDDPV

pith:2022:K7CZDDPVOFB5FM5RAJKNARUDFL

not attested not anchored not stored refs pending

Representer Theorem for Learning Koopman Operators

Mohammad Khosravi

arxiv:2208.01681 v1 · 2022-08-02 · eess.SY · cs.SY · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7CZDDPVOFB5FM5RAJKNARUDFL}

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	2026-07-05T04:45:39.068003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c5918df57143d2b3b10254d046832adb5f3994d7c1165a0abafc4d37917304

Aliases

arxiv: 2208.01681 · arxiv_version: 2208.01681v1 · doi: 10.48550/arxiv.2208.01681 · pith_short_12: K7CZDDPVOFB5 · pith_short_16: K7CZDDPVOFB5FM5R · pith_short_8: K7CZDDPV

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/K7CZDDPVOFB5FM5RAJKNARUDFL \
  | 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: 57c5918df57143d2b3b10254d046832adb5f3994d7c1165a0abafc4d37917304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8476d50b0d4fa0ba61dd1493900b8ac7644149d7a55a255a5c8edf1c64f364a",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2022-08-02T18:16:15Z",
    "title_canon_sha256": "075258a3aba4c164c76028411995e4b492535cce8fd3a4ffb8a0224c032284ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01681",
    "kind": "arxiv",
    "version": 1
  }
}