pith. sign in
Pith Number

pith:Z7H7R3GH

pith:2018:Z7H7R3GH2AI5KGXRRPRPVDFIJO
not attested not anchored not stored refs pending

50 Years of Permutation, Spatial and Index Modulation: From Classic RF to Visible Light Communications and Data Storage

Lajos Hanzo, Naoki Ishikawa, Shinya Sugiura

arxiv:1803.03939 v1 · 2018-03-11 · eess.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z7H7R3GH2AI5KGXRRPRPVDFIJO}

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 2026-05-18T00:21:33.392438Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cfcff8ecc7d011d51af18be2fa8ca84b8792c895d0fbab487acf57f525950ac6

Aliases

arxiv: 1803.03939 · arxiv_version: 1803.03939v1 · doi: 10.48550/arxiv.1803.03939 · pith_short_12: Z7H7R3GH2AI5 · pith_short_16: Z7H7R3GH2AI5KGXR · pith_short_8: Z7H7R3GH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z7H7R3GH2AI5KGXRRPRPVDFIJO \
  | 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: cfcff8ecc7d011d51af18be2fa8ca84b8792c895d0fbab487acf57f525950ac6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "61b89670e75cd363749e55585eee4eb778f35c7ff8c1d964012811c3f1fcc61d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2018-03-11T10:52:09Z",
    "title_canon_sha256": "dcea88e94cdaf5f2b2db1c41b1d26176723650918f2c2dffed9ab87c5637cf19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03939",
    "kind": "arxiv",
    "version": 1
  }
}