Pith Number

pith:4LV3PWED

pith:2024:4LV3PWED4IXHAMUNUTQ47ZEP35

not attested not anchored not stored refs pending

A fully differentiable GNN-based PDE Solver: With Applications to Poisson and Navier-Stokes Equations

Laiping Zhang, Shufan Zou, Tianyu Li, Xiaogang Deng, Xinghua Chang, Yiye Zou

arxiv:2405.04466 v1 · 2024-05-07 · physics.flu-dyn · math-ph · math.MP · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LV3PWED4IXHAMUNUTQ47ZEP35}

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	2026-07-05T08:16:37.440465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ebb7d883e22e70328da4e1cfe48fdf4b389f2ce3bd4270a25b554c26d3b7fe

Aliases

arxiv: 2405.04466 · arxiv_version: 2405.04466v1 · doi: 10.48550/arxiv.2405.04466 · pith_short_12: 4LV3PWED4IXH · pith_short_16: 4LV3PWED4IXHAMUN · pith_short_8: 4LV3PWED

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/4LV3PWED4IXHAMUNUTQ47ZEP35 \
  | 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: e2ebb7d883e22e70328da4e1cfe48fdf4b389f2ce3bd4270a25b554c26d3b7fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf4011bd65c53aba186664d49629e6a8879fd579160f892423d7868b306165f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-05-07T16:30:02Z",
    "title_canon_sha256": "842184acbdc4abca1b204615c2c17036ee3f85db57fe263fb778be7c44cbe0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.04466",
    "kind": "arxiv",
    "version": 1
  }
}