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Pith Number

pith:MG5VBVJ2

pith:2013:MG5VBVJ22XM7XWZMSRTNQMLMRJ
not attested not anchored not stored refs pending

Precoded Integer-Forcing Universally Achieves the MIMO Capacity to Within a Constant Gap

Or Ordentlich, Uri Erez

arxiv:1301.6393 v3 · 2013-01-27 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MG5VBVJ22XM7XWZMSRTNQMLMRJ}

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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 2026-05-18T02:38:46.353283Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

61bb50d53ad5d9fbdb2c9466d8316c8a706e6e781e0dbd23f4cdfca8a776ae37

Aliases

arxiv: 1301.6393 · arxiv_version: 1301.6393v3 · doi: 10.48550/arxiv.1301.6393 · pith_short_12: MG5VBVJ22XM7 · pith_short_16: MG5VBVJ22XM7XWZM · pith_short_8: MG5VBVJ2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MG5VBVJ22XM7XWZMSRTNQMLMRJ \
  | 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: 61bb50d53ad5d9fbdb2c9466d8316c8a706e6e781e0dbd23f4cdfca8a776ae37
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "833a6d91aef633a94d6d6991275249f6f098cce5d3d2a92ddba2d627123b15bf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-27T19:59:54Z",
    "title_canon_sha256": "05f93d996a1e8739664fa9e171b816b3809ccb2eb26b9c136b5bbb70584111e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6393",
    "kind": "arxiv",
    "version": 3
  }
}