Pith Number

pith:U4XUR25A

pith:2026:U4XUR25AJVGFB3HBCOLNOM4F2N

not attested not anchored not stored refs pending

PG-KINN: A Physics-Informed Petrov-Galerkin Kolmogorov-Arnold Network for Solving Forward and Inverse PDEs

Aida Pakniyat, Amirhossein Sadr, Dara Rahmati, Nima Soltani, Saeid Gorgin, Vahideh Moghtadaiee

arxiv:2607.20378 v1 · 2026-07-22 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4XUR25AJVGFB3HBCOLNOM4F2N}

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	2026-07-23T01:25:17.681953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72f48eba04d4c50ece11396d73385d373d48861560b42c5d0c1dd70f1591c4a

Aliases

arxiv: 2607.20378 · arxiv_version: 2607.20378v1 · doi: 10.48550/arxiv.2607.20378 · pith_short_12: U4XUR25AJVGF · pith_short_16: U4XUR25AJVGFB3HB · pith_short_8: U4XUR25A

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/U4XUR25AJVGFB3HBCOLNOM4F2N \
  | 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: a72f48eba04d4c50ece11396d73385d373d48861560b42c5d0c1dd70f1591c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d9987f9c9fb733a5387b23571dca2ba7afb42f183cc04fefc2ab7a0742b647",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-22T17:08:29Z",
    "title_canon_sha256": "2394828c3fa9eac062eeefcd72379b8b1113c81574070206aeace41f15f79436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20378",
    "kind": "arxiv",
    "version": 1
  }
}