Pith Number

pith:AUZMETHW

pith:2016:AUZMETHWB2X5L4F2TFOQ6YXYV6

not attested not anchored not stored refs pending

Optimal Beamforming for MIMO Shared Relaying in Downlink Cellular Networks with ARQ

Ahmed Raafat Hosny, Amr El-Keyi, Ramy Abdallah Tannious

arxiv:1610.03089 v1 · 2016-10-10 · 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{AUZMETHWB2X5L4F2TFOQ6YXYV6}

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	2026-05-18T01:02:49.630774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0532c24cf60eafd5f0ba995d0f62f8afb624873628640c588c4fd695bc0c610f

Aliases

arxiv: 1610.03089 · arxiv_version: 1610.03089v1 · doi: 10.48550/arxiv.1610.03089 · pith_short_12: AUZMETHWB2X5 · pith_short_16: AUZMETHWB2X5L4F2 · pith_short_8: AUZMETHW

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/AUZMETHWB2X5L4F2TFOQ6YXYV6 \
  | 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: 0532c24cf60eafd5f0ba995d0f62f8afb624873628640c588c4fd695bc0c610f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1205ecc80aa49fdeb3332596770e45ed857c33a3126fbeec35a93f53bcd15a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-10T20:38:25Z",
    "title_canon_sha256": "7c6167ed9aebe5ea487cd7dbde7b2bf97bdbdcbf4b8a9fd4340a88f91a751425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03089",
    "kind": "arxiv",
    "version": 1
  }
}