pith. sign in
Pith Number

pith:ZC7EYMPB

pith:2016:ZC7EYMPBQMDRFZJ2K4LM6RI6KB
not attested not anchored not stored refs pending

Dynamic Subarrays for Hybrid Precoding in Wideband mmWave MIMO Systems

Ahmed Alkhateeb, Robert W. Heath Jr, Sungwoo Park

arxiv:1606.08405 v1 · 2016-06-27 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZC7EYMPBQMDRFZJ2K4LM6RI6KB}

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 2026-05-18T01:11:52.210881Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8be4c31e1830712e53a5716cf451e50743e57d5090cf60022d022d7ab154baa

Aliases

arxiv: 1606.08405 · arxiv_version: 1606.08405v1 · doi: 10.48550/arxiv.1606.08405 · pith_short_12: ZC7EYMPBQMDR · pith_short_16: ZC7EYMPBQMDRFZJ2 · pith_short_8: ZC7EYMPB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZC7EYMPBQMDRFZJ2K4LM6RI6KB \
  | 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: c8be4c31e1830712e53a5716cf451e50743e57d5090cf60022d022d7ab154baa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a79d5ec203e5deda1efd1cfcdaeb14250eba17af01eadd49ab518c3628c3ddf9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-27T18:45:21Z",
    "title_canon_sha256": "ff045a8a3865b302772d033c960fabb26dcce84b0ca75e9c2396761bd2c3cd69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08405",
    "kind": "arxiv",
    "version": 1
  }
}