Pith Number

pith:N3BACHU3

pith:2009:N3BACHU3C6VZK5DDNTHUCZ6DZK

not attested not anchored not stored refs pending

On the Optimal Number of Cooperative Base Stations in Network MIMO

Jakob Hoydis, Mari Kobayashi, Merouane Debbah

arxiv:0912.4595 v4 · 2009-12-23 · 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{N3BACHU3C6VZK5DDNTHUCZ6DZK}

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	2026-05-18T04:24:36.351824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec2011e9b17ab9574636ccf4167c3caa69c78be2ac65ba413ba9bc5a04ab664

Aliases

arxiv: 0912.4595 · arxiv_version: 0912.4595v4 · doi: 10.48550/arxiv.0912.4595 · pith_short_12: N3BACHU3C6VZ · pith_short_16: N3BACHU3C6VZK5DD · pith_short_8: N3BACHU3

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/N3BACHU3C6VZK5DDNTHUCZ6DZK \
  | 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: 6ec2011e9b17ab9574636ccf4167c3caa69c78be2ac65ba413ba9bc5a04ab664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1e00aa579ca73cffcf9c9ba65067ba55747c5ff91b21f64e3c2e45da037a25",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-12-23T10:24:10Z",
    "title_canon_sha256": "93634b0d7aa4bdb1c9d821351b6bedf7ded710bf76f9352620f46808091aaa74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4595",
    "kind": "arxiv",
    "version": 4
  }
}