Pith Number

pith:SOECTW6Z

pith:2017:SOECTW6ZG5WJANFGIIBJ3CL34Y

not attested not anchored not stored refs pending

Joint Hybrid Precoder and Combiner Design for mmWave Spatial Multiplexing Transmission

Ming Li, Qian Liu, Xiaowen Tian, Zihuan Wang

arxiv:1704.07988 v1 · 2017-04-26 · 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{SOECTW6ZG5WJANFGIIBJ3CL34Y}

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	2026-05-18T00:45:31.345386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938829dbd9376c9034a642029d897be61c6a1542ff1da42b03105f7a96177cc0

Aliases

arxiv: 1704.07988 · arxiv_version: 1704.07988v1 · doi: 10.48550/arxiv.1704.07988 · pith_short_12: SOECTW6ZG5WJ · pith_short_16: SOECTW6ZG5WJANFG · pith_short_8: SOECTW6Z

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/SOECTW6ZG5WJANFGIIBJ3CL34Y \
  | 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: 938829dbd9376c9034a642029d897be61c6a1542ff1da42b03105f7a96177cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df03b8b851b4f76602dc3be5375c3607ba90f54eba68f2857138dd1ef3629ff",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-26T07:09:03Z",
    "title_canon_sha256": "27f2b4a54b657d0ee569947268867ef2ee1cc72465f2db7450257e65cfd428ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07988",
    "kind": "arxiv",
    "version": 1
  }
}