Pith Number

pith:IA4C6UX7

pith:2022:IA4C6UX7RDQ6WZ5HC3IPRJSWKH

not attested not anchored not stored refs pending

Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities

Patrik Hadorn, Roberto Molinaro, Samuel Lanthaler, Siddhartha Mishra

arxiv:2210.01074 v1 · 2022-10-03 · cs.LG · cs.NA · math.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IA4C6UX7RDQ6WZ5HC3IPRJSWKH}

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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.

Cited by

5 papers in Pith

Inverse Low-Dimensional Manifold Reconstruction Framework for Spatiotemporal Reconstruction of Compressible Physical Fields

IV-Net: A neural network for elliptic PDEs with random and highly varying coefficients

Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations

Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning

Receipt and verification

First computed	2026-07-05T05:02:50.752309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40382f52ff88e1eb67a716d0f8a65651df7e415b828c4c93a67cec949ab06ad1

Aliases

arxiv: 2210.01074 · arxiv_version: 2210.01074v1 · doi: 10.48550/arxiv.2210.01074 · pith_short_12: IA4C6UX7RDQ6 · pith_short_16: IA4C6UX7RDQ6WZ5H · pith_short_8: IA4C6UX7

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/IA4C6UX7RDQ6WZ5HC3IPRJSWKH \
  | 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: 40382f52ff88e1eb67a716d0f8a65651df7e415b828c4c93a67cec949ab06ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d5dd3a416e3294a3c118d2be7d3464125f43273ee58b9f5d078619d3f40f54",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-03T16:47:56Z",
    "title_canon_sha256": "cb8b2f34a1e8a3d8e6e3645a62466d87d11635dba05d75680391c01e014f8aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01074",
    "kind": "arxiv",
    "version": 1
  }
}