Pith Number

pith:LUMULWI7

pith:2014:LUMULWI7U2WUCBVPAJVAY47DT5

not attested not anchored not stored refs pending

Massive MIMO with Non-Ideal Arbitrary Arrays: Hardware Scaling Laws and Circuit-Aware Design

Emil Bj\"ornson, M\'erouane Debbah, Michail Matthaiou

arxiv:1409.0875 v3 · 2014-09-02 · 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{LUMULWI7U2WUCBVPAJVAY47DT5}

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	2026-05-18T02:17:33.627261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1945d91fa6ad4106af026a0c73e39f782f02be5a668bac66a11bce71f1681c

Aliases

arxiv: 1409.0875 · arxiv_version: 1409.0875v3 · doi: 10.48550/arxiv.1409.0875 · pith_short_12: LUMULWI7U2WU · pith_short_16: LUMULWI7U2WUCBVP · pith_short_8: LUMULWI7

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/LUMULWI7U2WUCBVPAJVAY47DT5 \
  | 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: 5d1945d91fa6ad4106af026a0c73e39f782f02be5a668bac66a11bce71f1681c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49fe5a66320257726eebbd20d66b994daea1b2275f4a2017c732abc8ba72d9ca",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-02T20:14:42Z",
    "title_canon_sha256": "a8b768928aa81eb92994d198882233d87cfec7b7e8d573a4ccfde0cb86513293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0875",
    "kind": "arxiv",
    "version": 3
  }
}