Pith Number

pith:XGX4KTQT

pith:2016:XGX4KTQTU3LCMUQFLVWAUWRZUW

not attested not anchored not stored refs pending

GMD-Based Hybrid Precoding For Millimeter-Wave Massive MIMO Systems

Linglong Dai, Muhammad Zeeshan Shakir, Tian Xie, Xinyu Gao, Zhaocheng Wang

arxiv:1605.04686 v1 · 2016-05-16 · 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{XGX4KTQTU3LCMUQFLVWAUWRZUW}

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	2026-05-18T01:14:46.505046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9afc54e13a6d62652055d6c0a5a39a58f6654789e5f73d0f4350081dec1d2fe

Aliases

arxiv: 1605.04686 · arxiv_version: 1605.04686v1 · doi: 10.48550/arxiv.1605.04686 · pith_short_12: XGX4KTQTU3LC · pith_short_16: XGX4KTQTU3LCMUQF · pith_short_8: XGX4KTQT

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/XGX4KTQTU3LCMUQFLVWAUWRZUW \
  | 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: b9afc54e13a6d62652055d6c0a5a39a58f6654789e5f73d0f4350081dec1d2fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072e50d1c4637414bf9fc4b9bf8267622e63c61c154e7d9c8ae98e155d28c507",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-16T09:20:17Z",
    "title_canon_sha256": "d98919f98a730555aec537d119ef83bebdef2de735f9b79853964bf302679b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04686",
    "kind": "arxiv",
    "version": 1
  }
}