Pith Number

pith:5HF6TZ64

pith:2017:5HF6TZ64GDLKZZEGI677LATVPQ

not attested not anchored not stored refs pending

A Class of Logistic Functions for Approximating State-Inclusive Koopman Operators

Charles A. Johnson, Enoch Yeung

arxiv:1712.03132 v1 · 2017-12-08 · cs.LG · cs.AI · 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{5HF6TZ64GDLKZZEGI677LATVPQ}

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	2026-05-18T00:28:28.241053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cbe9e7dc30d6ace48647bff582757c309d0657e10cb6018ebc0603550c625c

Aliases

arxiv: 1712.03132 · arxiv_version: 1712.03132v1 · doi: 10.48550/arxiv.1712.03132 · pith_short_12: 5HF6TZ64GDLK · pith_short_16: 5HF6TZ64GDLKZZEG · pith_short_8: 5HF6TZ64

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/5HF6TZ64GDLKZZEGI677LATVPQ \
  | 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: e9cbe9e7dc30d6ace48647bff582757c309d0657e10cb6018ebc0603550c625c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e276608a8dcdb8e2ffad26523fbd2f9b422812592e9b81fbc1725ec764c45ddd",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-12-08T15:41:42Z",
    "title_canon_sha256": "05e2428b6e3f3c75e0714a797fff079e2b83d986ba7077ef6f3873082a923ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03132",
    "kind": "arxiv",
    "version": 1
  }
}