Pith Number

pith:JYPFJ65O

pith:2013:JYPFJ65OPFE427IBUU7EKK4V3N

not attested not anchored not stored refs pending

Joint Unitary Triangularization for Gaussian Multi-User MIMO Networks

Anatoly Khina, Ayal Hitron, Idan Livni, Uri Erez

arxiv:1306.4350 v2 · 2013-06-18 · 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{JYPFJ65OPFE427IBUU7EKK4V3N}

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	2026-05-18T00:58:17.063656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1e54fbae7949cd7d01a53e452b95db685a46ea709c4f585a90d66ce8d835ae

Aliases

arxiv: 1306.4350 · arxiv_version: 1306.4350v2 · doi: 10.48550/arxiv.1306.4350 · pith_short_12: JYPFJ65OPFE4 · pith_short_16: JYPFJ65OPFE427IB · pith_short_8: JYPFJ65O

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/JYPFJ65OPFE427IBUU7EKK4V3N \
  | 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: 4e1e54fbae7949cd7d01a53e452b95db685a46ea709c4f585a90d66ce8d835ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb13dc7616272dc3851f2f4b6c5da521b93989c50ab4c449839d15f225836fa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-18T20:54:34Z",
    "title_canon_sha256": "0ea2dafe6ab12f520dae35937e26e9c6f596aff184cdf7fb0d81f43b3032dd90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4350",
    "kind": "arxiv",
    "version": 2
  }
}