Pith Number

pith:3XPZ5NBI

pith:2024:3XPZ5NBIYFUN4POXG576554FNX

not attested not anchored not stored refs pending

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics

George Em Karniadakis, Juan Diego Toscano, Li-Lian Wang

arxiv:2412.16738 v1 · 2024-12-21 · cs.LG · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XPZ5NBIYFUN4POXG576554FNX}

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.

Cited by

1 paper in Pith

Scaled-cPIKANs: Domain Scaling in Chebyshev-based Physics-informed Kolmogorov-Arnold Networks

Receipt and verification

First computed	2026-07-05T09:53:12.452642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dddf9eb428c168de3dd7377feef7856df474adb596f590ac1d4d64bfc0af19c4

Aliases

arxiv: 2412.16738 · arxiv_version: 2412.16738v1 · doi: 10.48550/arxiv.2412.16738 · pith_short_12: 3XPZ5NBIYFUN · pith_short_16: 3XPZ5NBIYFUN4POX · pith_short_8: 3XPZ5NBI

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/3XPZ5NBIYFUN4POXG576554FNX \
  | 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: dddf9eb428c168de3dd7377feef7856df474adb596f590ac1d4d64bfc0af19c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d3474d2dd24945864fa32a584ccd9ef7cfa46c9f78a35137297f56aa230e9d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-21T19:01:38Z",
    "title_canon_sha256": "c86baae26974519738bc829b2f627b4d1cc3560be141c0ea0e2d939bc2cae13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16738",
    "kind": "arxiv",
    "version": 1
  }
}