Pith Number

pith:XJKCBQUE

pith:2024:XJKCBQUEQGG4AMEBXREHSCDPGK

not attested not anchored not stored refs pending

Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations

Hang Su, Jianing Huang, Songming Liu, Xiaoqiang Wang, Xudan Liu, Yiru Zhao, Youjia Wu, Ze Cheng, Zhongkai Hao

arxiv:2405.17509 v1 · 2024-05-27 · 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{XJKCBQUEQGG4AMEBXREHSCDPGK}

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	2026-07-05T08:24:07.818586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5420c284818dc03081bc4879086f32bb77e1c91799ae4f6c50e29904be1147

Aliases

arxiv: 2405.17509 · arxiv_version: 2405.17509v1 · doi: 10.48550/arxiv.2405.17509 · pith_short_12: XJKCBQUEQGG4 · pith_short_16: XJKCBQUEQGG4AMEB · pith_short_8: XJKCBQUE

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/XJKCBQUEQGG4AMEBXREHSCDPGK \
  | 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: ba5420c284818dc03081bc4879086f32bb77e1c91799ae4f6c50e29904be1147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43cdd8842f8c2eb4097ec800c3216be58f17a2618741a08a58bd551c42a73e05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-27T06:50:17Z",
    "title_canon_sha256": "9b430fd1581900ed83b57d8ae0a7a19ee3804b633d887c0861985f87a5a9f34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17509",
    "kind": "arxiv",
    "version": 1
  }
}