Pith Number

pith:JMFQY37V

pith:2024:JMFQY37VWVZHBDKMMBOOFBQT5I

not attested not anchored not stored refs pending

Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity

Ahmad Peyvan, Benjamin Shih, George Em Karniadakis, Zhongqiang Zhang

arxiv:2405.19166 v1 · 2024-05-29 · cs.LG · cs.AI

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\usepackage{pith}
\pithnumber{JMFQY37VWVZHBDKMMBOOFBQT5I}

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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

A DeepONet for inverting the Neumann-to-Dirichlet Operator in Electrical Impedance Tomography: An approximation theoretic perspective and numerical results

Universal Approximation of Operators with Transformers and Neural Integral Operators

Receipt and verification

First computed	2026-07-05T08:24:48.893268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0b0c6ff5b572708d4c605ce28613ea0552c59fe48e11e9190a9f21723bc643

Aliases

arxiv: 2405.19166 · arxiv_version: 2405.19166v1 · doi: 10.48550/arxiv.2405.19166 · pith_short_12: JMFQY37VWVZH · pith_short_16: JMFQY37VWVZHBDKM · pith_short_8: JMFQY37V

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/JMFQY37VWVZHBDKMMBOOFBQT5I \
  | 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: 4b0b0c6ff5b572708d4c605ce28613ea0552c59fe48e11e9190a9f21723bc643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f41a41a99bbae71323d6fa0b480f094b67f553b4f06bfd04384c6040a74d87a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-29T15:10:24Z",
    "title_canon_sha256": "98d51ad466c527bc821c79280ad6481be1c379ae5331f47748de5f3e9189fb7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.19166",
    "kind": "arxiv",
    "version": 1
  }
}