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Pith Number

pith:QL3GJGKA

pith:2017:QL3GJGKALQZGRK5URX3I6KEEXZ
not attested not anchored not stored refs pending

Hybrid Precoding for Multi-Group Physical Layer Multicasting

Chau Yuen, Luca Sanguinetti, Meysam Sadeghi

arxiv:1703.10329 v1 · 2017-03-30 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QL3GJGKALQZGRK5URX3I6KEEXZ}

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 2026-05-18T00:47:37.366466Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82f66499405c3268abb48df68f2884be6f4bc394f9acaf8f7a6c09b810a6b314

Aliases

arxiv: 1703.10329 · arxiv_version: 1703.10329v1 · doi: 10.48550/arxiv.1703.10329 · pith_short_12: QL3GJGKALQZG · pith_short_16: QL3GJGKALQZGRK5U · pith_short_8: QL3GJGKA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QL3GJGKALQZGRK5URX3I6KEEXZ \
  | 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: 82f66499405c3268abb48df68f2884be6f4bc394f9acaf8f7a6c09b810a6b314
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b2990fe27390ae8c60a5881b77aa162925086bb8249651dcf4aea16ef89a18a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-30T06:43:06Z",
    "title_canon_sha256": "7623a77d8034d25be6735dfb87c88bc26b5d75c6e689fb34babe890f6406d5e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10329",
    "kind": "arxiv",
    "version": 1
  }
}