Pith Number

pith:5OEMTZ3O

pith:2011:5OEMTZ3OPERTRSMBEPTJMNGPYK

not attested not anchored not stored refs pending

Spatial Degrees of Freedom of the Multicell MIMO Multiple Access Channel

Bruno Clerckx, David J. Love, Duckdong Hwang, Taejoon Kim

arxiv:1108.1441 v1 · 2011-08-06 · 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{5OEMTZ3OPERTRSMBEPTJMNGPYK}

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	2026-05-18T04:16:01.058454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb88c9e76e792338c98123e69634cfc2a092dd859cf84df388d1d9e2bb877ab4

Aliases

arxiv: 1108.1441 · arxiv_version: 1108.1441v1 · doi: 10.48550/arxiv.1108.1441 · pith_short_12: 5OEMTZ3OPERT · pith_short_16: 5OEMTZ3OPERTRSMB · pith_short_8: 5OEMTZ3O

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/5OEMTZ3OPERTRSMBEPTJMNGPYK \
  | 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: eb88c9e76e792338c98123e69634cfc2a092dd859cf84df388d1d9e2bb877ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808d59122a0ef563549efad274794b12e8e85222006ee9b8ef57d1e159c31f2a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-06T02:13:56Z",
    "title_canon_sha256": "4330f492e06bae96991bd02d9616869e2e09162a7e7d36042fad7764f4d90f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1441",
    "kind": "arxiv",
    "version": 1
  }
}