pith. sign in
Pith Number

pith:NK6YJKG5

pith:2018:NK6YJKG5UVMI6HTGWTKTUOD4J7
not attested not anchored not stored refs pending

Joint Spatial Division and Diversity for Massive MIMO Systems

Hui-Ming Wang, Jia Hou, Ke-Wen Huang, Shi Jin

arxiv:1809.03751 v1 · 2018-09-11 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NK6YJKG5UVMI6HTGWTKTUOD4J7}

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 2026-05-18T00:05:59.943184Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6abd84a8dda5588f1e66b4d53a387c4fdbb0370f5d084b6930687d9cca7263af

Aliases

arxiv: 1809.03751 · arxiv_version: 1809.03751v1 · doi: 10.48550/arxiv.1809.03751 · pith_short_12: NK6YJKG5UVMI · pith_short_16: NK6YJKG5UVMI6HTG · pith_short_8: NK6YJKG5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NK6YJKG5UVMI6HTGWTKTUOD4J7 \
  | 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: 6abd84a8dda5588f1e66b4d53a387c4fdbb0370f5d084b6930687d9cca7263af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a0af45b83d5de86507a8219f9eb5f0f99fbcf600308d8bff852c967527338362",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-09-11T08:55:51Z",
    "title_canon_sha256": "2ffce7ab4f1dc2541f0b99db9f04d27b55f22a40038ee4966ec61112dbd3fdaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03751",
    "kind": "arxiv",
    "version": 1
  }
}