Pith Number

pith:UZ7V6PQ6

pith:2021:UZ7V6PQ6VR2ZYGJD3NKMCO73B5

not attested not anchored not stored refs pending

Neural Operator: Learning Maps Between Function Spaces

Andrew Stuart, Anima Anandkumar, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Nikola Kovachki, Zongyi Li

arxiv:2108.08481 v6 · 2021-08-19 · cs.LG · 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{UZ7V6PQ6VR2ZYGJD3NKMCO73B5}

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

17 papers in Pith

ELADO: Elliptic PDE Assessment Datasets for Operator Learning

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime

Sequential Physics-Constrained Neural Operator Forward Modeling for the $\textit{Norne}$ Reservoir System

A Neural Surrogate Approach for Simulating Natural Convection Problems

Receipt and verification

First computed	2026-07-05T08:14:37.457500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67f5f3e1eac759c1923db54c13bfb0f6249aefcac63c6a1892db22a87737a5b

Aliases

arxiv: 2108.08481 · arxiv_version: 2108.08481v6 · doi: 10.48550/arxiv.2108.08481 · pith_short_12: UZ7V6PQ6VR2Z · pith_short_16: UZ7V6PQ6VR2ZYGJD · pith_short_8: UZ7V6PQ6

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/UZ7V6PQ6VR2ZYGJD3NKMCO73B5 \
  | 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: a67f5f3e1eac759c1923db54c13bfb0f6249aefcac63c6a1892db22a87737a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29721367b458deedb7af833dbe7008e9b4ca58dcb31841761a07c27e56f07a4e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-19T03:56:49Z",
    "title_canon_sha256": "8892392e8e14ab34ce7cc3eb992c3b62ee708e7f17c7db3d0848efc166219623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08481",
    "kind": "arxiv",
    "version": 6
  }
}