Pith Number

pith:APKSO3PG

pith:2022:APKSO3PGXYBEDNRR6MYAYXNMV2

not attested not anchored not stored refs pending

BelNet: Basis enhanced learning, a mesh-free neural operator

Hayden Schaeffer, Wing Tat Leung, Zecheng Zhang

arxiv:2212.07336 v1 · 2022-12-14 · math.NA · cs.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{APKSO3PGXYBEDNRR6MYAYXNMV2}

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	2026-07-05T05:25:24.032459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d5276de6be0241b631f3300c5dacae8cfebeac66f8770bd0768184bf65776a

Aliases

arxiv: 2212.07336 · arxiv_version: 2212.07336v1 · doi: 10.48550/arxiv.2212.07336 · pith_short_12: APKSO3PGXYBE · pith_short_16: APKSO3PGXYBEDNRR · pith_short_8: APKSO3PG

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/APKSO3PGXYBEDNRR6MYAYXNMV2 \
  | 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: 03d5276de6be0241b631f3300c5dacae8cfebeac66f8770bd0768184bf65776a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c607a1e04a56a26329c882a6ded02d347c10b8cf3b3ca7e3fe6df408202f6f11",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-12-14T16:54:36Z",
    "title_canon_sha256": "91df779100582b86b27ffd2a3b9c1575379a38545bc99ae7207ffa59fc93de96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07336",
    "kind": "arxiv",
    "version": 1
  }
}