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Pith Number

pith:PBW3CWMZ

pith:2013:PBW3CWMZLK3ABEAYXTQMZMON7V
not attested not anchored not stored refs pending

Wireless Energy and Information Transfer Tradeoff for Limited Feedback Multi-Antenna Systems with Energy Beamforming

Chau Yuen, Xiaoming Chen, Zhaoyang Zhang

arxiv:1307.6285 v1 · 2013-07-24 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PBW3CWMZLK3ABEAYXTQMZMON7V}

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 2026-05-18T03:17:43.807292Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

786db159995ab6009018bce0ccb1cdfd59290bd59c6906f7e4a2a7854fb95129

Aliases

arxiv: 1307.6285 · arxiv_version: 1307.6285v1 · doi: 10.48550/arxiv.1307.6285 · pith_short_12: PBW3CWMZLK3A · pith_short_16: PBW3CWMZLK3ABEAY · pith_short_8: PBW3CWMZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PBW3CWMZLK3ABEAYXTQMZMON7V \
  | 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: 786db159995ab6009018bce0ccb1cdfd59290bd59c6906f7e4a2a7854fb95129
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9fb17ab058469d569961536458cd63d3723d3e8b35737e19e337b3d782fce51d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-24T02:43:28Z",
    "title_canon_sha256": "c4368c542a1ceacd5aebdc1e939705e4f6e0d8a677feac007305a07f6e28b856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6285",
    "kind": "arxiv",
    "version": 1
  }
}