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Pith Number

pith:VP5XMB64

pith:2017:VP5XMB64ZJH7TVD2SENBH53CSN
not attested not anchored not stored refs pending

Massive MIMO Beam-forming for High Speed Train Communication: Directivity vs Beamwidth

Jiaxun Lu, Pingyi Fan, Xuhong Chen

arxiv:1702.02121 v1 · 2017-02-07 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VP5XMB64ZJH7TVD2SENBH53CSN}

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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 2026-05-18T00:51:10.251536Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

abfb7607dcca4ff9d47a911a13f762935b154d166162aa2dc47230183b84707d

Aliases

arxiv: 1702.02121 · arxiv_version: 1702.02121v1 · doi: 10.48550/arxiv.1702.02121 · pith_short_12: VP5XMB64ZJH7 · pith_short_16: VP5XMB64ZJH7TVD2 · pith_short_8: VP5XMB64
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VP5XMB64ZJH7TVD2SENBH53CSN \
  | 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: abfb7607dcca4ff9d47a911a13f762935b154d166162aa2dc47230183b84707d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "57ba6fbdccf7b96f3eaa422017df4df5645294c824272c83a827f7a27da5346b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-02-07T18:10:09Z",
    "title_canon_sha256": "77f76b17f7d2de588c91634fbe7a3571628b073f26efc08c5fd023d88a9f8db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02121",
    "kind": "arxiv",
    "version": 1
  }
}