Pith Number

pith:OHSCDRIZ

pith:2026:OHSCDRIZ2WRCXHEHX2E4PUZUPH

not attested not anchored not stored refs pending

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D

Flavia Gehrig, Matti Schneider

An X-FFT solver integrates X-FEM into FFT methods to reach interface-conforming accuracy in 3D elastic homogenization.

arxiv:2601.02172 v3 · 2026-01-05 · cs.CE · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{OHSCDRIZ2WRCXHEHX2E4PUZUPH}

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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.

Claims

C1strongest claim

Our computational studies demonstrate that the developed X-FFT solver achieves interface-conforming accuracy, numerical efficiency, and stability when solving three-dimensional linear elastic homogenization problems with smooth material interfaces.

C2weakest assumption

The modified absolute enrichment combined with the strongly stable GFEM preconditioner sufficiently mitigates conditioning issues and enables interface-conforming accuracy for smooth 3D interfaces without introducing new instabilities or accuracy losses.

C3one line summary

An X-FFT solver integrates X-FEM discretization and a GFEM-based preconditioner to deliver interface-conforming accuracy and stability for 3D linear elastic homogenization problems with smooth interfaces.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-21T01:05:14.167926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e421c519d5a22b9c87be89c7d33479cddadfe1c9ff704610074b4881ba2254

Aliases

arxiv: 2601.02172 · arxiv_version: 2601.02172v3 · doi: 10.48550/arxiv.2601.02172 · pith_short_12: OHSCDRIZ2WRC · pith_short_16: OHSCDRIZ2WRCXHEH · pith_short_8: OHSCDRIZ

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/OHSCDRIZ2WRCXHEHX2E4PUZUPH \
  | 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: 71e421c519d5a22b9c87be89c7d33479cddadfe1c9ff704610074b4881ba2254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84df0ffb8cb469f1df7ae390f9f2ac8ef3e82d9a4841c3560b11992bef1272f7",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-01-05T14:49:18Z",
    "title_canon_sha256": "50801a3881e78338fb030e094d95926b7e951de0a1cacfc1345f6fa6d285b7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.02172",
    "kind": "arxiv",
    "version": 3
  }
}