Pith Number

pith:UG2P4XQV

pith:2016:UG2P4XQVP2IPW4UZ6DRO57JOOZ

not attested not anchored not stored refs pending

Two-Level Spatial Multiplexing using Hybrid Beamforming Antenna Arrays for mmWave Communications

Gerhard Fettweis, Nithin Babu, Sudhan Majhi, Wolfgang Rave, Xiaohang Song

arxiv:1607.08737 v1 · 2016-07-29 · 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{UG2P4XQVP2IPW4UZ6DRO57JOOZ}

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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	2026-05-18T01:10:15.984808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1b4fe5e157e90fb7299f0e2eefd2e76758f7e2651ba4483c8642c8ba2638d01

Aliases

arxiv: 1607.08737 · arxiv_version: 1607.08737v1 · doi: 10.48550/arxiv.1607.08737 · pith_short_12: UG2P4XQVP2IP · pith_short_16: UG2P4XQVP2IPW4UZ · pith_short_8: UG2P4XQV

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/UG2P4XQVP2IPW4UZ6DRO57JOOZ \
  | 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: a1b4fe5e157e90fb7299f0e2eefd2e76758f7e2651ba4483c8642c8ba2638d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecea89c5003cdfeb17ee0618852543e51f5575023db43ac99dc31418e2083e2e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-29T09:15:10Z",
    "title_canon_sha256": "7ce24ca1f62aae7acfe54803741d971494a189863f321314060e02e018d3a286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08737",
    "kind": "arxiv",
    "version": 1
  }
}