Pith Number

pith:QHKUALF2

pith:2017:QHKUALF2PTNS3VH6WLYRHTAVVY

not attested not anchored not stored refs pending

Energy Efficiency in Cell-Free Massive MIMO with Zero-Forcing Precoding Design

H. Q. Ngo, K. Tourki, L. D. Nguyen, T. Q. Duong

arxiv:1704.03288 v1 · 2017-04-11 · 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{QHKUALF2PTNS3VH6WLYRHTAVVY}

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	2026-05-18T00:46:32.950248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d5402cba7cdb2dd4feb2f113cc15ae1c403a3ef1f21ff97294c603e0643bf5

Aliases

arxiv: 1704.03288 · arxiv_version: 1704.03288v1 · doi: 10.48550/arxiv.1704.03288 · pith_short_12: QHKUALF2PTNS · pith_short_16: QHKUALF2PTNS3VH6 · pith_short_8: QHKUALF2

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/QHKUALF2PTNS3VH6WLYRHTAVVY \
  | 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: 81d5402cba7cdb2dd4feb2f113cc15ae1c403a3ef1f21ff97294c603e0643bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8058895c7ccb45d9f153a3d2c5c763cd8f487844de0b3f44ea82c73aa0bbc3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-11T13:59:01Z",
    "title_canon_sha256": "43d953b6dd4b0dc7e37dbc9acb8f5ffd050495640999695c04f963ed1fcbc45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03288",
    "kind": "arxiv",
    "version": 1
  }
}