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Pith Number

pith:ZIWB7XZU

pith:2011:ZIWB7XZUYYAX5T5N6J2BX2S3WM
not attested not anchored not stored refs pending

A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests

Christian Klingenberg, Christoph Federrath, Knut Waagan

arxiv:1101.3007 v4 · 2011-01-15 · astro-ph.IM · astro-ph.SR · math-ph · math.MP · physics.comp-ph · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZIWB7XZUYYAX5T5N6J2BX2S3WM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

1 paper in Pith

Receipt and verification
First computed 2026-05-18T04:23:22.856067Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca2c1fdf34c6017ecfadf2741bea5bb30c5a6fa2586955f8a1f698fdc60a8c09

Aliases

arxiv: 1101.3007 · arxiv_version: 1101.3007v4 · doi: 10.48550/arxiv.1101.3007 · pith_short_12: ZIWB7XZUYYAX · pith_short_16: ZIWB7XZUYYAX5T5N · pith_short_8: ZIWB7XZU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZIWB7XZUYYAX5T5N6J2BX2S3WM \
  | 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: ca2c1fdf34c6017ecfadf2741bea5bb30c5a6fa2586955f8a1f698fdc60a8c09
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a16daecefd24cbb7a97123f2007dfcb990a620b56277c83c512a800c7db89e3e",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "math-ph",
      "math.MP",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2011-01-15T17:07:44Z",
    "title_canon_sha256": "9e4157d6810eff3c9e85ae9f0a3d267a0afe5f0496f848dbf4012f508e7fb6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3007",
    "kind": "arxiv",
    "version": 4
  }
}