Pith Number

pith:BNGF3Y2I

pith:2014:BNGF3Y2IMKCF7GMKCEAPNTXCY2

not attested not anchored not stored refs pending

On the Optimal Precoding for MIMO Gaussian Wire-Tap Channels

Arash Khabbazibasmenj, Lars K. Rasmussen, Maksym A. Girnyk, Mikko Vehkaper\"a, Sergiy A. Vorobyov

arxiv:1411.0103 v1 · 2014-11-01 · 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{BNGF3Y2IMKCF7GMKCEAPNTXCY2}

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	2026-05-18T02:38:52.536363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4c5de34862845f998a1100f6cee2c6b8de3e63dc0a82c9ec33db6c89b9accd

Aliases

arxiv: 1411.0103 · arxiv_version: 1411.0103v1 · doi: 10.48550/arxiv.1411.0103 · pith_short_12: BNGF3Y2IMKCF · pith_short_16: BNGF3Y2IMKCF7GMK · pith_short_8: BNGF3Y2I

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/BNGF3Y2IMKCF7GMKCEAPNTXCY2 \
  | 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: 0b4c5de34862845f998a1100f6cee2c6b8de3e63dc0a82c9ec33db6c89b9accd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87777e3092ece71bd9d65f6dccbe5576840770cb04608e0643ad88e247a6d12e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-01T11:28:33Z",
    "title_canon_sha256": "240b4ba9e6b4707554e8787971ebe192d73cd4d397c9ba9bb402eab5c6ad7b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0103",
    "kind": "arxiv",
    "version": 1
  }
}