Pith Number

pith:G3SO3KTY

pith:2026:G3SO3KTYM3MRCVG6EL4BMK3YCH

not attested not anchored not stored refs pending

Koopman Lifting with Certified Error Bounds for Joint Inference in Nonlinear Networks

Chuansen Peng, Xiaojing Shen, Yunmin Zhu

arxiv:2606.17797 v1 · 2026-06-16 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3SO3KTYM3MRCVG6EL4BMK3YCH}

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	2026-06-19T16:10:21.983172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e4edaa7866d91154de22f8162b7811fb324c02bf7bf0bdfee307d28a0eaada

Aliases

arxiv: 2606.17797 · arxiv_version: 2606.17797v1 · doi: 10.48550/arxiv.2606.17797 · pith_short_12: G3SO3KTYM3MR · pith_short_16: G3SO3KTYM3MRCVG6 · pith_short_8: G3SO3KTY

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/G3SO3KTYM3MRCVG6EL4BMK3YCH \
  | 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: 36e4edaa7866d91154de22f8162b7811fb324c02bf7bf0bdfee307d28a0eaada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb75cf1ed24221977d14658e84751c4e75c5b8926384004e647ef5ddd4543dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-16T11:16:11Z",
    "title_canon_sha256": "99086a9664bea23dc32e63564c605eb7aab2e41bd49c549df6c5d884fd205830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17797",
    "kind": "arxiv",
    "version": 1
  }
}