Pith Number

pith:ZQGN6Z5Y

pith:2013:ZQGN6Z5YQ2R244OOTFLTLK2EFF

not attested not anchored not stored refs pending

Interference Alignment with Diversity for the $2 \times 2$ $X$ Network with four antennas

Abhinav Ganesan, B. Sundar Rajan

arxiv:1304.1432 v1 · 2013-04-04 · 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{ZQGN6Z5YQ2R244OOTFLTLK2EFF}

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	2026-05-18T03:28:56.782034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0cdf67b886a3ae71ce995735ab44297a575d8a0d12312e40fc0c51187fd688

Aliases

arxiv: 1304.1432 · arxiv_version: 1304.1432v1 · doi: 10.48550/arxiv.1304.1432 · pith_short_12: ZQGN6Z5YQ2R2 · pith_short_16: ZQGN6Z5YQ2R244OO · pith_short_8: ZQGN6Z5Y

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/ZQGN6Z5YQ2R244OOTFLTLK2EFF \
  | 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: cc0cdf67b886a3ae71ce995735ab44297a575d8a0d12312e40fc0c51187fd688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11a9080e09f65603a117dfeeff6229431c85773afbe65eeaea280044cbc975b8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-04T17:14:18Z",
    "title_canon_sha256": "9850a618d5432da72ad85de0d47b51a991b895ae576b60da0d4efb84305d1bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1432",
    "kind": "arxiv",
    "version": 1
  }
}