Pith Number

pith:LEO5NOXQ

pith:2026:LEO5NOXQCSV3U3H26ZLZJWTIV5

not attested not anchored not stored refs pending

Highly Efficient Rank-Adaptive Sweep-based SI-DSA for the Radiative Transfer Equation via Mild Space Augmentation

Wei Guo, Zhichao Peng

A mild-augmentation approach lets rank-adaptive SI-DSA match full-rank accuracy for the radiative transfer equation while cutting memory and time.

arxiv:2603.25233 v3 · 2026-03-26 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{LEO5NOXQCSV3U3H26ZLZJWTIV5}

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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

Numerical experiments show that the proposed solver achieves accuracy and iteration counts comparable to those of full-rank SI-DSA while substantially reducing memory usage and runtime, even for challenging multiscale problems in which the effective rank reaches 30-45% of the full rank.

C2weakest assumption

That the residual-based greedy angular subsampling combined with mild augmentation will preserve stability and convergence rate across all problem classes without problem-specific tuning or hidden post-hoc adjustments.

C3one line summary

A sweep-based SI-DSA solver for the RTE uses mild space augmentation and residual-driven subsampling to match full-rank accuracy while cutting memory and runtime even when the effective rank reaches 30-45 percent of full rank.

Receipt and verification

First computed	2026-07-15T01:20:58.317173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591dd6baf014abba6cfaf65794da68af683f128e0a22a290cb8f52e83261f60f

Aliases

arxiv: 2603.25233 · arxiv_version: 2603.25233v3 · doi: 10.48550/arxiv.2603.25233 · pith_short_12: LEO5NOXQCSV3 · pith_short_16: LEO5NOXQCSV3U3H2 · pith_short_8: LEO5NOXQ

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/LEO5NOXQCSV3U3H26ZLZJWTIV5 \
  | 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: 591dd6baf014abba6cfaf65794da68af683f128e0a22a290cb8f52e83261f60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ebced344f86e38fa83c72583813077024443214f846ec08e413be7c1d926fe7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-03-26T09:34:18Z",
    "title_canon_sha256": "f2428bad487abfe13fbe586419ad597dc1ce26f224d5b705a6f4e077803af6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.25233",
    "kind": "arxiv",
    "version": 3
  }
}