pith. sign in
Pith Number

pith:2QDIQ74P

pith:2014:2QDIQ74PGSML3JZVFBG3RJOUQJ
not attested not anchored not stored refs pending

Time-dependent Debye-Mie Series Solutions for Electromagnetic Scattering

Balasubramaniam Shanker, Jie Li

arxiv:1412.8171 v1 · 2014-12-28 · math.NA · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2QDIQ74PGSML3JZVFBG3RJOUQJ}

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 2026-05-18T01:01:29.385050Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d406887f8f3498bda735284db8a5d482714e489b99e5bdbb6cacd7c0af6ffc10

Aliases

arxiv: 1412.8171 · arxiv_version: 1412.8171v1 · doi: 10.48550/arxiv.1412.8171 · pith_short_12: 2QDIQ74PGSML · pith_short_16: 2QDIQ74PGSML3JZV · pith_short_8: 2QDIQ74P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2QDIQ74PGSML3JZVFBG3RJOUQJ \
  | 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: d406887f8f3498bda735284db8a5d482714e489b99e5bdbb6cacd7c0af6ffc10
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd248ae9f14d4cf1042fbad65ba1cefc2644f46eaddfae88761dc90ae07ebfb5",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-28T14:38:54Z",
    "title_canon_sha256": "1f8b631811b97bb029fc6ebc2f678f921431ecea32f9f50b5c0dedbd211492f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8171",
    "kind": "arxiv",
    "version": 1
  }
}