Pith Number

pith:5JWMHMRA

pith:2015:5JWMHMRAVIQ3BZUAGFF6RKSGB7

not attested not anchored not stored refs pending

Hybrid MIMO Architectures for Millimeter Wave Communications: Phase Shifters or Switches?

Ahmed Alkhateeb, Cristian Rusu, Nuria Gonz\'alez-Prelcic, Robert W. Heath Jr, Roi M\'endez-Rial

arxiv:1512.03032 v1 · 2015-12-09 · 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{5JWMHMRAVIQ3BZUAGFF6RKSGB7}

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	2026-05-18T01:24:39.008343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6cc3b220aa21b0e680314be8aa460fc778a3b0831c5fbbf1c3d21692af42e4

Aliases

arxiv: 1512.03032 · arxiv_version: 1512.03032v1 · doi: 10.48550/arxiv.1512.03032 · pith_short_12: 5JWMHMRAVIQ3 · pith_short_16: 5JWMHMRAVIQ3BZUA · pith_short_8: 5JWMHMRA

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/5JWMHMRAVIQ3BZUAGFF6RKSGB7 \
  | 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: ea6cc3b220aa21b0e680314be8aa460fc778a3b0831c5fbbf1c3d21692af42e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a473ee94d15c26ab7eca5d84563d6f43237edb752e1161d074b0613eef26b907",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-09T20:36:25Z",
    "title_canon_sha256": "fe9a68a2a25ed57b18d01bd0fb51a9decf84fea1689d2abce5cab054992b3ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03032",
    "kind": "arxiv",
    "version": 1
  }
}