Pith Number

pith:WRUZXH63

pith:2014:WRUZXH63DLU5CCGFYYTAFZUZCA

not attested not anchored not stored refs pending

Optimal Design of Energy-Efficient Multi-User MIMO Systems: Is Massive MIMO the Answer?

Emil Bj\"ornson, Jakob Hoydis, Luca Sanguinetti, M\'erouane Debbah

arxiv:1403.6150 v2 · 2014-03-24 · cs.IT · cs.NI · 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{WRUZXH63DLU5CCGFYYTAFZUZCA}

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	2026-05-18T01:20:21.317874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4699b9fdb1ae9d108c5c62602e69910082b8e55c0f3c4e2d372f60e64db2ea6

Aliases

arxiv: 1403.6150 · arxiv_version: 1403.6150v2 · doi: 10.48550/arxiv.1403.6150 · pith_short_12: WRUZXH63DLU5 · pith_short_16: WRUZXH63DLU5CCGF · pith_short_8: WRUZXH63

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/WRUZXH63DLU5CCGFYYTAFZUZCA \
  | 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: b4699b9fdb1ae9d108c5c62602e69910082b8e55c0f3c4e2d372f60e64db2ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f881c4bf7740bdbfd53185ae566d205532ace258c4b4ac0646d358cbbf921b7",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-03-24T20:45:00Z",
    "title_canon_sha256": "e98402ea2e90c1056d8b11dd01d0affdb110fad56f312260274ad539d94c8393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6150",
    "kind": "arxiv",
    "version": 2
  }
}