pith. sign in
Pith Number

pith:2H4TKCZO

pith:2013:2H4TKCZOVINUO2ARIFG3M364SJ
not attested not anchored not stored refs pending

Asymptotic Coverage Probability and Rate in Massive MIMO Networks

jr, Robert W. Heath, Tianyang Bai

arxiv:1305.2233 v1 · 2013-05-10 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2H4TKCZOVINUO2ARIFG3M364SJ}

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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 2026-05-18T03:26:08.352402Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d1f9350b2eaa1b476811414db66fdc925ca3033b32800443abc08a4c463ad12a

Aliases

arxiv: 1305.2233 · arxiv_version: 1305.2233v1 · doi: 10.48550/arxiv.1305.2233 · pith_short_12: 2H4TKCZOVINU · pith_short_16: 2H4TKCZOVINUO2AR · pith_short_8: 2H4TKCZO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2H4TKCZOVINUO2ARIFG3M364SJ \
  | 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: d1f9350b2eaa1b476811414db66fdc925ca3033b32800443abc08a4c463ad12a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d2eeebdc77fff0b3bd9d708f396ffd7b64e6f16f3240de060ae5456dadb82097",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-10T00:53:46Z",
    "title_canon_sha256": "80b304ef1916e7ae709e4cc7d12a323d2cdb69cb9625973f5a8baa6cc267e026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2233",
    "kind": "arxiv",
    "version": 1
  }
}