Pith Number

pith:QULWTFXX

pith:2013:QULWTFXXM4XUIRWQ7UMWP3F3FN

not attested not anchored not stored refs pending

Power Efficient MISO Beamforming for Secure Layered Transmission

Derrick Wing Kwan Ng, Hussein Alnuweiri, Robert Schober

arxiv:1309.1644 v2 · 2013-09-06 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QULWTFXXM4XUIRWQ7UMWP3F3FN}

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	2026-05-18T00:58:16.880773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85176996f7672f4446d0fd1967ecbb2b51acbc11777cafe8f14c28a583338c97

Aliases

arxiv: 1309.1644 · arxiv_version: 1309.1644v2 · doi: 10.48550/arxiv.1309.1644 · pith_short_12: QULWTFXXM4XU · pith_short_16: QULWTFXXM4XUIRWQ · pith_short_8: QULWTFXX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QULWTFXXM4XUIRWQ7UMWP3F3FN \
  | 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: 85176996f7672f4446d0fd1967ecbb2b51acbc11777cafe8f14c28a583338c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f76cfc5c1d0d9fec1dd47573845bb8679068785a801c25fc3184f83124d87eed",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-06T13:59:07Z",
    "title_canon_sha256": "b17cec719dbcb4520b67bde0d8ef17365338275cf2d72b5d589f0bc111901812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1644",
    "kind": "arxiv",
    "version": 2
  }
}