Pith Number

pith:GZSR2SZF

pith:2011:GZSR2SZFHWJKFH2XLRPD5E7LRQ

not attested not anchored not stored refs pending

Achieving "Massive MIMO" Spectral Efficiency with a Not-so-Large Number of Antennas

Giuseppe Caire, Haralabos C. Papadopoulos, Hoon Huh, Sean A. Ramprashad

arxiv:1107.3862 v2 · 2011-07-19 · 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{GZSR2SZFHWJKFH2XLRPD5E7LRQ}

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	2026-05-18T00:59:10.233030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36651d4b253d92a29f575c5e3e93eb8c2fd75dd9b11cf0c7c36f492db8a52391

Aliases

arxiv: 1107.3862 · arxiv_version: 1107.3862v2 · doi: 10.48550/arxiv.1107.3862 · pith_short_12: GZSR2SZFHWJK · pith_short_16: GZSR2SZFHWJKFH2X · pith_short_8: GZSR2SZF

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/GZSR2SZFHWJKFH2XLRPD5E7LRQ \
  | 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: 36651d4b253d92a29f575c5e3e93eb8c2fd75dd9b11cf0c7c36f492db8a52391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb6d8c677f9641b30162bd0c1316474fe7af04451e4b024ee0076b9643e3082b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-07-19T23:28:37Z",
    "title_canon_sha256": "0891672de8e57242138e317d7edcbc4eb7c15fbc6aea216c38496406c74e8616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3862",
    "kind": "arxiv",
    "version": 2
  }
}