Pith Number

pith:PXT7K35M

pith:2009:PXT7K35MQMNWFGLFTBA3SGM5XB

not attested not anchored not stored refs pending

Multi-mode Transmission for the MIMO Broadcast Channel with Imperfect Channel State Information

Jeffrey G. Andrews, Jun Zhang, Marios Kountouris, Robert W. Heath Jr

arxiv:0903.5108 v2 · 2009-03-30 · 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{PXT7K35MQMNWFGLFTBA3SGM5XB}

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	2026-05-18T00:58:20.272562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de7f56fac831b6299659841b9199db84fc9d883f318d734f890b8f98da82189

Aliases

arxiv: 0903.5108 · arxiv_version: 0903.5108v2 · doi: 10.48550/arxiv.0903.5108 · pith_short_12: PXT7K35MQMNW · pith_short_16: PXT7K35MQMNWFGLF · pith_short_8: PXT7K35M

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/PXT7K35MQMNWFGLFTBA3SGM5XB \
  | 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: 7de7f56fac831b6299659841b9199db84fc9d883f318d734f890b8f98da82189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "037119c9c20697a262feee35c5ee4711a670ae1373a56ec51abc775577019b94",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-03-30T01:05:58Z",
    "title_canon_sha256": "0490e421d315a6786fb5b43c24eff3310b6705f2c3b0079b71fecb385560f2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5108",
    "kind": "arxiv",
    "version": 2
  }
}