Pith Number

pith:UBUREDVL

pith:2025:UBUREDVLJ2UXAFLAOLFARY2PLF

not attested not anchored not stored refs pending

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries

Fangzhi Fei, Jiaxin Hu, Qiaofeng Li, Zhenyu Liu

arxiv:2508.04463 v1 · 2025-08-06 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBUREDVLJ2UXAFLAOLFARY2PLF}

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	2026-07-05T11:49:37.181199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a069120eab4ea970156072ca08e34f5948561b4862890a21b1555780415eeaf6

Aliases

arxiv: 2508.04463 · arxiv_version: 2508.04463v1 · doi: 10.48550/arxiv.2508.04463 · pith_short_12: UBUREDVLJ2UX · pith_short_16: UBUREDVLJ2UXAFLA · pith_short_8: UBUREDVL

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/UBUREDVLJ2UXAFLAOLFARY2PLF \
  | 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: a069120eab4ea970156072ca08e34f5948561b4862890a21b1555780415eeaf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b9e6bd9a932b44b32c9af8564c464e30c9fa3656ac8089e10a78b3f1480edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-06T14:02:39Z",
    "title_canon_sha256": "ae4222ac1cdbb0598318b9880baa39b530843e7d235be526d55ab5942d6b4265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04463",
    "kind": "arxiv",
    "version": 1
  }
}