Pith Number

pith:QQ3R6MFB

pith:2022:QQ3R6MFBNJJLUSH6PMGFKVZFPF

not attested not anchored not stored refs pending

Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEs

Felix J. Herrmann, Mathias Louboutin, Philipp A. Witte, Ranveer Chandra, Rishi Khan, Russell J. Hewett, Thomas J. Grady II, Ziyi Yin

arxiv:2204.01205 v3 · 2022-04-04 · cs.LG · cs.DC · cs.NA · math.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{QQ3R6MFBNJJLUSH6PMGFKVZFPF}

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

Fourier-enhanced Neural Networks For Systems Biology Applications

Receipt and verification

First computed	2026-07-05T06:31:58.748447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84371f30a16a52ba48fe7b0c555725795aef15883d4014ac90503ee4ae7f5bc1

Aliases

arxiv: 2204.01205 · arxiv_version: 2204.01205v3 · doi: 10.48550/arxiv.2204.01205 · pith_short_12: QQ3R6MFBNJJL · pith_short_16: QQ3R6MFBNJJLUSH6 · pith_short_8: QQ3R6MFB

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/QQ3R6MFBNJJLUSH6PMGFKVZFPF \
  | 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: 84371f30a16a52ba48fe7b0c555725795aef15883d4014ac90503ee4ae7f5bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00e778d9ca9e7ea672f6d489b72f0fd2ec3f935bc1b3e2fe82b3fbb493881ca0",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-04-04T02:12:03Z",
    "title_canon_sha256": "2b9f938db934cd11ce9ca42fc145f5d6d4ac6701af096e5aab6d53df77b2f6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01205",
    "kind": "arxiv",
    "version": 3
  }
}