Pith Number

pith:QOXILST7

pith:2009:QOXILST7KBTXHVI6XJOALCO7FI

not attested not anchored not stored refs pending

Asymptotic Capacity and Optimal Precoding in MIMO Multi-Hop Relay Networks

David Gesbert, Keyvan Zarifi, Merouane Debbah, Nadia Fawaz

arxiv:0906.0037 v1 · 2009-05-29 · 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{QOXILST7KBTXHVI6XJOALCO7FI}

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	2026-05-18T00:57:58.179548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ae85ca7f506773d51eba5c0589df2a0d79f4cc57542ae1052287a060e116b9

Aliases

arxiv: 0906.0037 · arxiv_version: 0906.0037v1 · doi: 10.48550/arxiv.0906.0037 · pith_short_12: QOXILST7KBTX · pith_short_16: QOXILST7KBTXHVI6 · pith_short_8: QOXILST7

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/QOXILST7KBTXHVI6XJOALCO7FI \
  | 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: 83ae85ca7f506773d51eba5c0589df2a0d79f4cc57542ae1052287a060e116b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a870f8f348cc22dc4b5912882a8ff7a0da4c7ffe209c1737bca9e25706d216d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-05-29T22:44:57Z",
    "title_canon_sha256": "e31024d6612e288c52067f731050f4a159467f6e0c72fdbf6de75001ab47d39f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0037",
    "kind": "arxiv",
    "version": 1
  }
}