Pith Number

pith:46A4TZE4

pith:2025:46A4TZE4XZCOYXZ2ARFQKFGTXV

not attested not anchored not stored refs pending

Geometric Operator Learning with Optimal Transport

Anima Anandkumar, Nikola Kovachki, Xinyi Li, Zongyi Li

arxiv:2507.20065 v1 · 2025-07-26 · cs.LG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46A4TZE4XZCOYXZ2ARFQKFGTXV}

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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

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer

IKNO: Infinite-order Kernel Neural Operators

Neural-Schwarz Tiling for Geometry-Universal PDE Solving at Scale

Do Neural Operators Forget Geometry? The Forgetting Hypothesis in Deep Operator Learning

Receipt and verification

First computed	2026-07-05T11:44:12.742782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e781c9e49cbe44ec5f3a044b0514d3bd45756699b3704de94aa4bd72e3c23cd3

Aliases

arxiv: 2507.20065 · arxiv_version: 2507.20065v1 · doi: 10.48550/arxiv.2507.20065 · pith_short_12: 46A4TZE4XZCO · pith_short_16: 46A4TZE4XZCOYXZ2 · pith_short_8: 46A4TZE4

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/46A4TZE4XZCOYXZ2ARFQKFGTXV \
  | 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: e781c9e49cbe44ec5f3a044b0514d3bd45756699b3704de94aa4bd72e3c23cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96e31ebe97f97ace9e4a4098dc0684ea2f6e48be22a510e322243581936af57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-26T21:28:25Z",
    "title_canon_sha256": "7489bd97eec9e28a4799cbcf20eb67ed21b910a1445c7372dd854ca60f54567e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20065",
    "kind": "arxiv",
    "version": 1
  }
}