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Pith Number

pith:UUL7H7GL

pith:2013:UUL7H7GLHSFTI5ELJNS3PIR7KY
not attested not anchored not stored refs pending

A Weak Galerkin Finite Element Method for the Maxwell Equations

Junping Wang, Lin Mu, Shangyou Zhang, Xiu Ye

arxiv:1312.2309 v1 · 2013-12-09 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UUL7H7GLHSFTI5ELJNS3PIR7KY}

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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 2026-05-18T03:05:10.723758Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a517f3fccb3c8b34748b4b65b7a23f561b990e10bb8f3372a58141f4733aa0e8

Aliases

arxiv: 1312.2309 · arxiv_version: 1312.2309v1 · doi: 10.48550/arxiv.1312.2309 · pith_short_12: UUL7H7GLHSFT · pith_short_16: UUL7H7GLHSFTI5EL · pith_short_8: UUL7H7GL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UUL7H7GLHSFTI5ELJNS3PIR7KY \
  | 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: a517f3fccb3c8b34748b4b65b7a23f561b990e10bb8f3372a58141f4733aa0e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b258d23fe40f5c96708302ad94cfe2187c36317fc172d9fba9d93fc2abcb4893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-09T05:23:03Z",
    "title_canon_sha256": "d71be8e048fdcc8a9bc34ca05180872b08bbbf98df239b0b72d55cb53e86a888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2309",
    "kind": "arxiv",
    "version": 1
  }
}