pith. sign in
Pith Number

pith:OA637N3R

pith:2016:OA637N3RWXF5XNBUSEF2QB4T2T
not attested not anchored not stored refs pending

Photonic Crystals Engineering For Light Manipulation: Low Symmetry, Graded Index and Parity Time Symmetry

Mirbek Turduev

arxiv:1602.05886 v1 · 2016-02-18 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OA637N3RWXF5XNBUSEF2QB4T2T}

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 2026-05-18T01:20:22.984801Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

703dbfb771b5cbdbb434910ba80793d4cd1403352ccbac48bded55a0f8848251

Aliases

arxiv: 1602.05886 · arxiv_version: 1602.05886v1 · doi: 10.48550/arxiv.1602.05886 · pith_short_12: OA637N3RWXF5 · pith_short_16: OA637N3RWXF5XNBU · pith_short_8: OA637N3R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OA637N3RWXF5XNBUSEF2QB4T2T \
  | 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: 703dbfb771b5cbdbb434910ba80793d4cd1403352ccbac48bded55a0f8848251
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "69d329facf472390918136bcb23e1d140a2b1b16668de4e3f2d4a80409b561d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-18T17:40:05Z",
    "title_canon_sha256": "8efbf080e13fd362ff7cae2402b38c8b0c13028f0867e4882ae333df42400665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05886",
    "kind": "arxiv",
    "version": 1
  }
}