pith. sign in
Pith Number

pith:5JHMKDJS

pith:2010:5JHMKDJSTHGMZJTW44FM4BDFQF
not attested not anchored not stored refs pending

Bit Allocation Law for Multi-Antenna Channel Feedback Quantization: Single-User Case

Behrouz Khoshnevis, Wei Yu

arxiv:1003.2257 v2 · 2010-03-11 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5JHMKDJSTHGMZJTW44FM4BDFQF}

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 2026-05-18T02:08:35.160511Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea4ec50d3299cccca676e70ace04658165fa2705da6fa3bab1d46e7c311f8890

Aliases

arxiv: 1003.2257 · arxiv_version: 1003.2257v2 · doi: 10.48550/arxiv.1003.2257 · pith_short_12: 5JHMKDJSTHGM · pith_short_16: 5JHMKDJSTHGMZJTW · pith_short_8: 5JHMKDJS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5JHMKDJSTHGMZJTW44FM4BDFQF \
  | 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: ea4ec50d3299cccca676e70ace04658165fa2705da6fa3bab1d46e7c311f8890
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9565c16e7a1da1f590209b81def85c444cfde115a1fecaa8d5eb321771e43e32",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-03-11T05:23:44Z",
    "title_canon_sha256": "218e5bb20d8bab9c2ea28a3f85f96adf03785f8e4252f63e6860464ddd1217a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2257",
    "kind": "arxiv",
    "version": 2
  }
}