pith. sign in
Pith Number

pith:7VNHDMTN

pith:2012:7VNHDMTN3G43KB7ZANKUW3KDSN
not attested not anchored not stored refs pending

Eigenwaves in Waveguides with Dielectric Inclusions: Spectrum

Yury Shestopalov, Yury Smirnov

arxiv:1209.5191 v1 · 2012-09-24 · math-ph · math.MP · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7VNHDMTN3G43KB7ZANKUW3KDSN}

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 2026-05-18T03:44:58.912876Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fd5a71b26dd9b9b507f903554b6d43935be27c4d331a19f4bc70840a20ac7aa4

Aliases

arxiv: 1209.5191 · arxiv_version: 1209.5191v1 · doi: 10.48550/arxiv.1209.5191 · pith_short_12: 7VNHDMTN3G43 · pith_short_16: 7VNHDMTN3G43KB7Z · pith_short_8: 7VNHDMTN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7VNHDMTN3G43KB7ZANKUW3KDSN \
  | 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: fd5a71b26dd9b9b507f903554b6d43935be27c4d331a19f4bc70840a20ac7aa4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "311f4072ed4508ff0c78f383d1aa4c95fc569369270989acbd0f8774fea09835",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-24T08:42:04Z",
    "title_canon_sha256": "dabdbe95b322e93e10b5e9431ddbdb17baf28b172594309556e356d9b7af2d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5191",
    "kind": "arxiv",
    "version": 1
  }
}