Pith Number

pith:EFY7RU5X

pith:2018:EFY7RU5X67QCZKBDGMYTXXW6D3

not attested not anchored not stored refs pending

Zero-Forcing Per-Group Precoding (ZF-PGP) for Robust Optimized Downlink Massive MIMO Performance

Ender Ayanoglu, Thomas Ketseoglou

arxiv:1810.08311 v1 · 2018-10-18 · 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{EFY7RU5X67QCZKBDGMYTXXW6D3}

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	2026-05-18T00:02:48.530863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2171f8d3b7f7e02ca82333313bdede1efddcce883b86dd8efebcab5f1223cc37

Aliases

arxiv: 1810.08311 · arxiv_version: 1810.08311v1 · doi: 10.48550/arxiv.1810.08311 · pith_short_12: EFY7RU5X67QC · pith_short_16: EFY7RU5X67QCZKBD · pith_short_8: EFY7RU5X

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/EFY7RU5X67QCZKBDGMYTXXW6D3 \
  | 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: 2171f8d3b7f7e02ca82333313bdede1efddcce883b86dd8efebcab5f1223cc37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8102070111a5460d12f7b72d76fcc97c78bc76587f1feeb9094e7ab3e7173f5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-10-18T23:52:28Z",
    "title_canon_sha256": "b982e3c8267a9c7952de6b0afb2dbd105551699023ac3c17499405316d7b5342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08311",
    "kind": "arxiv",
    "version": 1
  }
}