Pith Number

pith:XMX7UJOB

pith:2022:XMX7UJOBGHHKFKNC6YCINTNOLO

not attested not anchored not stored refs pending

Blending Neural Operators and Relaxation Methods in PDE Numerical Solvers

Adar Kahana, Alena Kopani\v{c}\'akov\'a, Eli Turkel, Enrui Zhang, George Em Karniadakis, Jay Pathak, Rishikesh Ranade

arxiv:2208.13273 v2 · 2022-08-28 · math.NA · cs.LG · 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{XMX7UJOBGHHKFKNC6YCINTNOLO}

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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

2 papers in Pith

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

Learning Hidden Physics and System Parameters with Deep Operator Networks

Receipt and verification

First computed	2026-07-05T09:01:22.693551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2ffa25c131cea2a9a2f60486cdae5b82c38167bab7408329cd42142064181f

Aliases

arxiv: 2208.13273 · arxiv_version: 2208.13273v2 · doi: 10.48550/arxiv.2208.13273 · pith_short_12: XMX7UJOBGHHK · pith_short_16: XMX7UJOBGHHKFKNC · pith_short_8: XMX7UJOB

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/XMX7UJOBGHHKFKNC6YCINTNOLO \
  | 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: bb2ffa25c131cea2a9a2f60486cdae5b82c38167bab7408329cd42142064181f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d106e57ee5d7d0f85f5a8a6ef2c8f46687f6263725fb87ee4a3f79142bb4fb",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-08-28T19:07:54Z",
    "title_canon_sha256": "75662e1e3f2e05831931fee0b3ceac60ca388f91cd862fb14b840c1221d2a7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.13273",
    "kind": "arxiv",
    "version": 2
  }
}