Pith Number

pith:TONR32TO

pith:2022:TONR32TOJEFE4ZFRC5QFQV4RPE

not attested not anchored not stored refs pending

Weighted Sum Rate Maximization of the mmWave Cell-Free MIMO Downlink Relying on Hybrid Precoding

Chenghao Feng, Jianping An, Lajos Hanzo, Wenqian Shen

arxiv:2201.04332 v1 · 2022-01-12 · cs.IT · eess.SP · 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{TONR32TOJEFE4ZFRC5QFQV4RPE}

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	2026-07-05T03:47:59.279611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9b1dea6e490a4e64b1176058579179066b4dd03fba1c768ffb9fe45b5e8557

Aliases

arxiv: 2201.04332 · arxiv_version: 2201.04332v1 · doi: 10.48550/arxiv.2201.04332 · pith_short_12: TONR32TOJEFE · pith_short_16: TONR32TOJEFE4ZFR · pith_short_8: TONR32TO

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/TONR32TOJEFE4ZFRC5QFQV4RPE \
  | 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: 9b9b1dea6e490a4e64b1176058579179066b4dd03fba1c768ffb9fe45b5e8557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194c4e68655ee97c48ce02b9801171001c27de281959a37ccea12992dffd8a09",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-01-12T06:40:19Z",
    "title_canon_sha256": "3c1dd7b5a7a02d74c1d1015811409fa1b73f93462caf1764cefddcf3c73ce32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.04332",
    "kind": "arxiv",
    "version": 1
  }
}