Pith Number

pith:XXP3SBAQ

pith:2026:XXP3SBAQDAONZFSKVTGYW26B63

not attested not anchored not stored refs pending

Extending Fourier Neural Operators for Modeling Parameterized and Coupled PDEs

Abhishek Verma, Cheng Jing, Kallol Bera, Kookjin Lee, Shahid Rauf, Uvini Balasuriya Mudiyanselage

arxiv:2607.23466 v1 · 2026-07-26 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXP3SBAQDAONZFSKVTGYW26B63}

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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	2026-07-28T01:22:54.019249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bddfb90410181cdc964aaccd8b6bc1f6cfa8c51ad3dc2e6ae8581a33a9eaf5fc

Aliases

arxiv: 2607.23466 · arxiv_version: 2607.23466v1 · doi: 10.48550/arxiv.2607.23466 · pith_short_12: XXP3SBAQDAON · pith_short_16: XXP3SBAQDAONZFSK · pith_short_8: XXP3SBAQ

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/XXP3SBAQDAONZFSKVTGYW26B63 \
  | 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: bddfb90410181cdc964aaccd8b6bc1f6cfa8c51ad3dc2e6ae8581a33a9eaf5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06015acd4f8621b81777696e3a5a43ff35de5b2dd71bdd383040a284c0a32fac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-26T05:28:07Z",
    "title_canon_sha256": "1d8db7b93201f4e4ab8416733ad5f02da869320c19d04e3f59a439d6d8a177ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23466",
    "kind": "arxiv",
    "version": 1
  }
}