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Pith Number

pith:D5BXLJSD

pith:2014:D5BXLJSD5JVAXT6TWTLG7KMDD3
not attested not anchored not stored refs pending

A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions

Alex Barnett, Jun Lai, Motoki Kobayashi

arxiv:1412.7466 v1 · 2014-12-23 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D5BXLJSD5JVAXT6TWTLG7KMDD3}

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.
Receipt and verification
First computed 2026-05-18T01:15:53.202447Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f4375a643ea6a0bcfd3b4d66fa9831ed3b18ab4cad51b53c9fcdb39cb8fb7ea

Aliases

arxiv: 1412.7466 · arxiv_version: 1412.7466v1 · doi: 10.48550/arxiv.1412.7466 · pith_short_12: D5BXLJSD5JVA · pith_short_16: D5BXLJSD5JVAXT6T · pith_short_8: D5BXLJSD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D5BXLJSD5JVAXT6TWTLG7KMDD3 \
  | 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: 1f4375a643ea6a0bcfd3b4d66fa9831ed3b18ab4cad51b53c9fcdb39cb8fb7ea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bf63c0e9f0626bea0fc9d4fec69a6e8f761c4cc2265f2cd4d7656d8e4d4dc2e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-23T18:46:26Z",
    "title_canon_sha256": "421212fb6dd865c35523dc5e9bc4bb86bd5d068ef69b6bf1e38f35aaac21ba0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7466",
    "kind": "arxiv",
    "version": 1
  }
}