Pith Number

pith:5XP5OFK7

pith:2010:5XP5OFK7ZOK7QC2YRNZ35UNTNI

not attested not anchored not stored refs pending

Network MIMO with Linear Zero-Forcing Beamforming: Large System Analysis, Impact of Channel Estimation and Reduced-Complexity Scheduling

Antonia M. Tulino, Giuseppe Caire, Hoon Huh

arxiv:1012.3198 v2 · 2010-12-15 · 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{5XP5OFK7ZOK7QC2YRNZ35UNTNI}

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	2026-05-18T00:57:57.518718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddfd7155fcb95f80b588b73bed1b36a1e59b83978f9654092e0fbd0a6be8529

Aliases

arxiv: 1012.3198 · arxiv_version: 1012.3198v2 · doi: 10.48550/arxiv.1012.3198 · pith_short_12: 5XP5OFK7ZOK7 · pith_short_16: 5XP5OFK7ZOK7QC2Y · pith_short_8: 5XP5OFK7

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/5XP5OFK7ZOK7QC2YRNZ35UNTNI \
  | 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: eddfd7155fcb95f80b588b73bed1b36a1e59b83978f9654092e0fbd0a6be8529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d0e22d9996ab35a037e5e96661b66ea29eba7ea01bfb3d96744024f1f8e2ef",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-15T00:28:43Z",
    "title_canon_sha256": "faf4062258880f0e6f62c86acec1d7189744b352fd837fc3582605c4492cd967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3198",
    "kind": "arxiv",
    "version": 2
  }
}