pith. sign in
Pith Number

pith:NVD3SS6P

pith:2016:NVD3SS6PEU6XUE5G4JJNVIWX2H
not attested not anchored not stored refs pending

REEL-BF Design: Achieving the SDP Bound for Downlink Beamforming with Arbitrary Shaping Constraints

Chongbin Xu, Feng Wang, Xin Wang, Xiqi Gao, Yongwei Huang

arxiv:1602.08662 v3 · 2016-02-28 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NVD3SS6PEU6XUE5G4JJNVIWX2H}

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 2026-05-18T00:47:21.164662Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6d47b94bcf253d7a13a6e252daa2d7d1f20689e016d707162d17fce2112bd0a4

Aliases

arxiv: 1602.08662 · arxiv_version: 1602.08662v3 · doi: 10.48550/arxiv.1602.08662 · pith_short_12: NVD3SS6PEU6X · pith_short_16: NVD3SS6PEU6XUE5G · pith_short_8: NVD3SS6P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NVD3SS6PEU6XUE5G4JJNVIWX2H \
  | 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: 6d47b94bcf253d7a13a6e252daa2d7d1f20689e016d707162d17fce2112bd0a4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "809001042bda8eb323502baa5f711712b221b7323ddcf4e0bea9952abb5e8491",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-28T03:26:20Z",
    "title_canon_sha256": "3d4da3af396249ae7a14c7b81ccb735a47895af5991708f381b2b0552a7ca9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08662",
    "kind": "arxiv",
    "version": 3
  }
}