Pith Number

pith:RIQZONA7

pith:2025:RIQZONA7O24O63YEWRPNIEQ7SF

not attested not anchored not stored refs pending

A meshless MUSCL method for the BGK-Boltzmann equation

Axel Klar, Giovanni Russo, Giovanni Samaey, Klaas Willems, Sudarshan Tiwari

A meshless MUSCL scheme on moving grids solves the BGK equation to fourth order in one dimension for flows with moving boundaries.

arxiv:2512.11598 v3 · 2025-12-12 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{RIQZONA7O24O63YEWRPNIEQ7SF}

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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

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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 method achieves fourth-order in 1D and second-order in 2D for simulations with moving boundaries.

C2weakest assumption

The adapted MOOD criterion successfully relaxes the discrete maximum property at discontinuities without degrading the formal order of accuracy or introducing excessive numerical diffusion on the chosen test problems.

C3one line summary

A meshless MUSCL-like method with moving-least-squares discretization and MOOD limiting achieves fourth-order accuracy in 1D and second-order in 2D for BGK simulations on moving domains.

Receipt and verification

First computed	2026-06-02T02:04:12.349777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2197341f76b8ef6f04b45ed4121f9158cf99f35b10be1a0bd6d422820d732f

Aliases

arxiv: 2512.11598 · arxiv_version: 2512.11598v3 · doi: 10.48550/arxiv.2512.11598 · pith_short_12: RIQZONA7O24O · pith_short_16: RIQZONA7O24O63YE · pith_short_8: RIQZONA7

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/RIQZONA7O24O63YEWRPNIEQ7SF \
  | 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: 8a2197341f76b8ef6f04b45ed4121f9158cf99f35b10be1a0bd6d422820d732f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94232a1ad1b6c1cbd04b723d28a350085393c245c5ad94601938eb474d8b2d62",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-12-12T14:34:20Z",
    "title_canon_sha256": "21c0276d19ce49fd4299b1aea9ea640813d46266dab4eac8d9b189ea32b32957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11598",
    "kind": "arxiv",
    "version": 3
  }
}