Pith Number

pith:BITWODGA

pith:2017:BITWODGAOORVB2BWAR72TKC5LP

not attested not anchored not stored refs pending

Multi-cell Massive MIMO Beamforming in Assuring QoS for Large Numbers of Users

Hoang D. Tuan, H. Vincent Poor, Long D. Nguyen, Trung Q. Duong

arxiv:1712.03548 v1 · 2017-12-10 · 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{BITWODGAOORVB2BWAR72TKC5LP}

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	2026-05-18T00:28:20.856677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a27670cc073a350e836047fa9a85d5bf914b5b1172db2fad2dc97277238bc98

Aliases

arxiv: 1712.03548 · arxiv_version: 1712.03548v1 · doi: 10.48550/arxiv.1712.03548 · pith_short_12: BITWODGAOORV · pith_short_16: BITWODGAOORVB2BW · pith_short_8: BITWODGA

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/BITWODGAOORVB2BWAR72TKC5LP \
  | 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: 0a27670cc073a350e836047fa9a85d5bf914b5b1172db2fad2dc97277238bc98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f71a25b2bcd0ef012eefbe7de79c6a33a26a526cd2e5ea4d233b030bfd887ec",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-10T15:08:41Z",
    "title_canon_sha256": "e827b923aec17f8b2c283cbc723ee0b7870c5477030a565e20269c72bf47ed8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03548",
    "kind": "arxiv",
    "version": 1
  }
}