Pith Number

pith:T55Y5LFR

pith:2024:T55Y5LFRLA44Y7H3PVFRPT47RM

not attested not anchored not stored refs pending

MgFNO: Multi-grid Architecture Fourier Neural Operator for Parametric Partial Differential Equations

Hou-Biao Li, Zi-Hao Guo

arxiv:2407.08615 v3 · 2024-07-11 · 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{T55Y5LFRLA44Y7H3PVFRPT47RM}

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

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning

Receipt and verification

First computed	2026-07-05T11:06:22.303576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7b8eacb15839cc7cfb7d4b17cf9f8b374bd8d118461cdfa5df2a396daac06c

Aliases

arxiv: 2407.08615 · arxiv_version: 2407.08615v3 · doi: 10.48550/arxiv.2407.08615 · pith_short_12: T55Y5LFRLA44 · pith_short_16: T55Y5LFRLA44Y7H3 · pith_short_8: T55Y5LFR

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/T55Y5LFRLA44Y7H3PVFRPT47RM \
  | 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: 9f7b8eacb15839cc7cfb7d4b17cf9f8b374bd8d118461cdfa5df2a396daac06c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb3bd048d5f0366daaf2aec75f0c454d03bced3eae4958e636b6e9c1709697f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-07-11T15:52:44Z",
    "title_canon_sha256": "6a3582a39236e61a97fe02d92b34e9a927184475799c12bd9eeef698af6ec5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08615",
    "kind": "arxiv",
    "version": 3
  }
}