Pith Number

pith:I44QR3VN

pith:2025:I44QR3VN6SDDQ5BBNCBTDPQFEW

not attested not anchored not stored refs pending

Neural-operator element method: Efficient and scalable finite element method enabled by reusable neural operators

Lu Lu, Si-Wei Liu, Weihang Ouyang, Yeonjong Shin

arxiv:2506.18427 v1 · 2025-06-23 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I44QR3VN6SDDQ5BBNCBTDPQFEW}

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

RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations

Receipt and verification

First computed	2026-07-05T11:25:50.102021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473908eeadf486387421688331be0525a206b438384812420385c5ca4930359d

Aliases

arxiv: 2506.18427 · arxiv_version: 2506.18427v1 · doi: 10.48550/arxiv.2506.18427 · pith_short_12: I44QR3VN6SDD · pith_short_16: I44QR3VN6SDDQ5BB · pith_short_8: I44QR3VN

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/I44QR3VN6SDDQ5BBNCBTDPQFEW \
  | 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: 473908eeadf486387421688331be0525a206b438384812420385c5ca4930359d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f307a0e0dee96a9bc47238914aace3220183f6afdb4e6a01d1194ece3ddce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2025-06-23T09:08:10Z",
    "title_canon_sha256": "e90483ca72a204b27f65e21a74cf41cfecc76eea9e771db82bc00ef7e5d5e296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18427",
    "kind": "arxiv",
    "version": 1
  }
}