Pith Number

pith:QUZ56J53

pith:2026:QUZ56J53XRVXGBSUIH6XSJOFO7

not attested not anchored not stored refs pending

Structure-Aware Tensorial Model Reduction

Anthony Gruber, Arjun Vijaywargiya, Eric C. Cyr

Tensor factorization lets reduced bases for parameterized PDEs vary nonlinearly with parameters by encoding snapshots offline and interpolating online.

arxiv:2604.26280 v2 · 2026-04-29 · math.NA · cs.NA · math.DS

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\usepackage{pith}
\pithnumber{QUZ56J53XRVXGBSUIH6XSJOFO7}

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Record completeness

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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.

Claims

C1strongest claim

The proposed nonlinear basis ROM can effectively mitigate linear restrictions on Kolmogorov n-width while improving upon previous tensorial ROM technology, particularly in the highly nonlinear and data-limited regimes characteristic of practical use cases.

C2weakest assumption

That the Tucker-encoded states admit accurate RBF interpolation and that the orthonormalization with respect to a general discrete inner product preserves the error bounds sufficiently for the target PDEs when parameter sampling is sparse.

C3one line summary

A structure-aware tensorial ROM method with orthonormalized bases and RBF interpolation of encoded states reduces dimensionality for parameterized PDEs while mitigating Kolmogorov n-width limitations in nonlinear and data-sparse regimes.

Receipt and verification

First computed	2026-06-09T01:05:18.257399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8533df27bbbc6b73065441fd7925c577da5d62eba972b810274feb2e4411acff

Aliases

arxiv: 2604.26280 · arxiv_version: 2604.26280v2 · doi: 10.48550/arxiv.2604.26280 · pith_short_12: QUZ56J53XRVX · pith_short_16: QUZ56J53XRVXGBSU · pith_short_8: QUZ56J53

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/QUZ56J53XRVXGBSUIH6XSJOFO7 \
  | 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: 8533df27bbbc6b73065441fd7925c577da5d62eba972b810274feb2e4411acff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acdb451e64b03e8a7dde5526069af06d60aabb7eb67e0a40127f5c0a04ccd456",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-04-29T04:21:03Z",
    "title_canon_sha256": "02ffd29ca7939bbe52bae3aff57f3e01cf0d2ef921231c45ba00fb5f65ff2156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26280",
    "kind": "arxiv",
    "version": 2
  }
}