Pith Number

pith:QVBZIZHB

pith:2008:QVBZIZHBFU44BCUOZCMY2JATN4

not attested not anchored not stored refs pending

Capacity of Gaussian MIMO Bidirectional Broadcast Channels

Clemens Schnurr, Holger Boche, Igor Bjelakovic, Rafael F. Wyrembelski, Tobias J. Oechtering

arxiv:0803.3773 v2 · 2008-03-26 · 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{QVBZIZHBFU44BCUOZCMY2JATN4}

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	2026-05-18T04:24:04.842797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85439464e12d39c08a8ec8998d24136f3effbe8fb9e656ae3a96254608819c52

Aliases

arxiv: 0803.3773 · arxiv_version: 0803.3773v2 · doi: 10.48550/arxiv.0803.3773 · pith_short_12: QVBZIZHBFU44 · pith_short_16: QVBZIZHBFU44BCUO · pith_short_8: QVBZIZHB

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/QVBZIZHBFU44BCUOZCMY2JATN4 \
  | 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: 85439464e12d39c08a8ec8998d24136f3effbe8fb9e656ae3a96254608819c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11927fcf42d669083231283e2a8a348485ee492ab133d2932202dafcc48b174f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-03-26T17:22:34Z",
    "title_canon_sha256": "61c907e0f41e1f8e866131f88b00fa5b0f88e29de6e164259674ef312f183261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3773",
    "kind": "arxiv",
    "version": 2
  }
}