Pith Number

pith:PG4HLLX4

pith:2018:PG4HLLX4XKEBCSAECWISKF7UWE

not attested not anchored not stored refs pending

An Efficient Hybrid Beamforming Design for Massive MIMO Receive Systems via SINR Maximization Based on an Improved Bat Algorithm

Feng Shu, Jin Wang, Kingsley Jun Zou, Mohammed A. Almagboul, Xiaobo Zhou, Yaolu Qin, Yuwen Qian

arxiv:1811.01176 v1 · 2018-11-03 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG4HLLX4XKEBCSAECWISKF7UWE}

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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	2026-05-18T00:01:35.134374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b875aefcba8811480415912517f4b1187bc9247e992991b01e780e288a3681

Aliases

arxiv: 1811.01176 · arxiv_version: 1811.01176v1 · doi: 10.48550/arxiv.1811.01176 · pith_short_12: PG4HLLX4XKEB · pith_short_16: PG4HLLX4XKEBCSAE · pith_short_8: PG4HLLX4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PG4HLLX4XKEBCSAECWISKF7UWE \
  | 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: 79b875aefcba8811480415912517f4b1187bc9247e992991b01e780e288a3681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b355f9cf9427a6d99afaf800a11e46028c6fb7de51f3b1faef9a375033aae0a6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-11-03T08:43:43Z",
    "title_canon_sha256": "4bbcd37033694faa4d30c275a978970ada41e66ce0e200c71f98a366b0f91ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01176",
    "kind": "arxiv",
    "version": 1
  }
}