Pith. sign in
Pith Number

pith:XB5WR55A

pith:2021:XB5WR55A4XIOTOJR2F4MCE4KNU
not attested not anchored not stored refs pending

Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics

Hans Lindblad, Junyan Zhang

arxiv:2106.12173 v2 · 2021-06-23 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XB5WR55A4XIOTOJR2F4MCE4KNU}

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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.
Receipt and verification
First computed 2026-07-05T06:44:25.636843Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b87b68f7a0e5d0e9b931d178c1138a6d1dd112ebbe4c129ad64fa5076ca9bc42

Aliases

arxiv: 2106.12173 · arxiv_version: 2106.12173v2 · doi: 10.48550/arxiv.2106.12173 · pith_short_12: XB5WR55A4XIO · pith_short_16: XB5WR55A4XIOTOJR · pith_short_8: XB5WR55A
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XB5WR55A4XIOTOJR2F4MCE4KNU \
  | 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: b87b68f7a0e5d0e9b931d178c1138a6d1dd112ebbe4c129ad64fa5076ca9bc42
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d060ef882325855b0edc9ad66d96a5ad9fc326f840e308e7965f572003c7bb2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-23T05:47:43Z",
    "title_canon_sha256": "3b7029293717332211a5bfd3d8bc3a9ecf01eb930f3d4cdcdbf75e8f2bbb55f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12173",
    "kind": "arxiv",
    "version": 2
  }
}