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Pith Number

pith:MUO7VRG3

pith:2016:MUO7VRG3CGE4GFWBHHXV3VZONH
not attested not anchored not stored refs pending

Dispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes

Quanling Deng, Victor Calo, Vladimir Puzyrev

arxiv:1612.09097 v1 · 2016-12-29 · math.NA · cs.NA · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MUO7VRG3CGE4GFWBHHXV3VZONH}

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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 2026-05-17T23:57:33.059754Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

651dfac4db1189c316c139ef5dd72e69e9844a99f65716753ef721ed6bd041e0

Aliases

arxiv: 1612.09097 · arxiv_version: 1612.09097v1 · doi: 10.48550/arxiv.1612.09097 · pith_short_12: MUO7VRG3CGE4 · pith_short_16: MUO7VRG3CGE4GFWB · pith_short_8: MUO7VRG3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MUO7VRG3CGE4GFWBHHXV3VZONH \
  | 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: 651dfac4db1189c316c139ef5dd72e69e9844a99f65716753ef721ed6bd041e0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e285b59a787a79b90b0724cc33ae48b680760e461f4fe0fbcd03007fd6d7d23c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-29T11:06:20Z",
    "title_canon_sha256": "ed89ebb5b9fdd92bb896ef2da0ffe7afd2eb3aaab7a24de5cf03cb125d620483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09097",
    "kind": "arxiv",
    "version": 1
  }
}