Pith Number

pith:HPSXS32Y

pith:2017:HPSXS32YHUBMOBCOMV5OVJ3KGF

not attested not anchored not stored refs pending

Hybrid Beamforming via the Kronecker Decomposition for the Millimeter-Wave Massive MIMO Systems

Bin Xia, Guangxu Zhu, Kaibin Huang, Sha Zhang, Vincent K. N. Lau, Xiaofan Li

arxiv:1704.03611 v1 · 2017-04-12 · 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{HPSXS32YHUBMOBCOMV5OVJ3KGF}

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	2026-05-18T00:46:27.358497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be5796f583d02c7044e657aeaa76a315872b9a7c809281a909d479ed301c908

Aliases

arxiv: 1704.03611 · arxiv_version: 1704.03611v1 · doi: 10.48550/arxiv.1704.03611 · pith_short_12: HPSXS32YHUBM · pith_short_16: HPSXS32YHUBMOBCO · pith_short_8: HPSXS32Y

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/HPSXS32YHUBMOBCOMV5OVJ3KGF \
  | 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: 3be5796f583d02c7044e657aeaa76a315872b9a7c809281a909d479ed301c908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1718c6465af1b8f6c2063c1988f8124773d00f3fdaf94db59260f3a81519e94",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-12T03:59:47Z",
    "title_canon_sha256": "2b5d92a836adccac9c8405fa516d7adb81e042c4e3ef389ffcc198cdf557a742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03611",
    "kind": "arxiv",
    "version": 1
  }
}