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Pith Number

pith:42SBLBCK

pith:2015:42SBLBCK4FGLCRPQNQZ7WET34J
not attested not anchored not stored refs pending

Secrecy Transmit Beamforming for Heterogeneous Networks

Hui Gao, Shaoshi Yang, Tiejun Lv

arxiv:1503.01056 v1 · 2015-03-03 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{42SBLBCK4FGLCRPQNQZ7WET34J}

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 2026-05-18T01:41:47.598548Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e6a415844ae14cb145f06c33fb127be277390e0a4ed85046beb5f1e689514405

Aliases

arxiv: 1503.01056 · arxiv_version: 1503.01056v1 · doi: 10.48550/arxiv.1503.01056 · pith_short_12: 42SBLBCK4FGL · pith_short_16: 42SBLBCK4FGLCRPQ · pith_short_8: 42SBLBCK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/42SBLBCK4FGLCRPQNQZ7WET34J \
  | 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: e6a415844ae14cb145f06c33fb127be277390e0a4ed85046beb5f1e689514405
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f646e18ee129a7e75dacc7bb8818712dca099d49e6b93d4013cbdbf2c3cd631f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-03T19:00:14Z",
    "title_canon_sha256": "d4cb9d72c9738de0c61835e152f6d642a58c9b9d59089cb75a9de7df7487ddb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01056",
    "kind": "arxiv",
    "version": 1
  }
}