Pith Number

pith:SMM6JYQI

pith:2023:SMM6JYQIJHN3PCW2OCBNQNWZZU

not attested not anchored not stored refs pending

Error bounds for kernel-based approximations of the Koopman operator

Feliks N\"uske, Friedrich Philipp, Karl Worthmann, Manuel Schaller, Sebastian Peitz

arxiv:2301.08637 v3 · 2023-01-20 · 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{SMM6JYQIJHN3PCW2OCBNQNWZZU}

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	2026-07-05T07:25:39.065022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9319e4e20849dbb78ada7082d836d9cd168f7309ef8738b4cee113ae1763eb48

Aliases

arxiv: 2301.08637 · arxiv_version: 2301.08637v3 · doi: 10.48550/arxiv.2301.08637 · pith_short_12: SMM6JYQIJHN3 · pith_short_16: SMM6JYQIJHN3PCW2 · pith_short_8: SMM6JYQI

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/SMM6JYQIJHN3PCW2OCBNQNWZZU \
  | 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: 9319e4e20849dbb78ada7082d836d9cd168f7309ef8738b4cee113ae1763eb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce45bcce358aa6d2a98dcf977a100fb71e2495a4cabeb34daae04bd6709f4d36",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-01-20T15:36:45Z",
    "title_canon_sha256": "8dc78d00967129a34d8c9018054ee78f8b789c6570d7c578ff0a223c9f429f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.08637",
    "kind": "arxiv",
    "version": 3
  }
}