Pith Number

pith:2FXAPSK3

pith:2025:2FXAPSK3MBOW2TOCURWCX5VY2X

not attested not anchored not stored refs pending

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries

Alexei Lozinski, Killian Vuillemot, Michel Duprez, Vanessa Lleras, Vincent Vigon

arxiv:2502.10033 v1 · 2025-02-14 · 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{2FXAPSK3MBOW2TOCURWCX5VY2X}

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	2026-07-05T10:24:01.392517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16e07c95b605d6d4dc2a46c2bf6b8d5d57359ff99381f8a3774d776f404a69f

Aliases

arxiv: 2502.10033 · arxiv_version: 2502.10033v1 · doi: 10.48550/arxiv.2502.10033 · pith_short_12: 2FXAPSK3MBOW · pith_short_16: 2FXAPSK3MBOW2TOC · pith_short_8: 2FXAPSK3

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/2FXAPSK3MBOW2TOCURWCX5VY2X \
  | 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: d16e07c95b605d6d4dc2a46c2bf6b8d5d57359ff99381f8a3774d776f404a69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2a793df915e2b887373dce28da88a6de493dd0f5d4b12a0267b8dee90ea2cd",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-02-14T09:23:13Z",
    "title_canon_sha256": "41846f1f49d9e248327f8b489526fefb8cfea582d601e73f825201fe6649c055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10033",
    "kind": "arxiv",
    "version": 1
  }
}