Pith Number

pith:Q4IIBHHQ

pith:2017:Q4IIBHHQCZ7JSNQD74GHAUXXS3

not attested not anchored not stored refs pending

Unified Framework of KKT Conditions Based Matrix Optimizations for MIMO Communications

Chengwen Xing, Jiaheng Wang, Lajos Hanzo, Sheng Chen, Shuai Wang, Soon Xin Ng, Yindi Jing

arxiv:1711.04449 v8 · 2017-11-13 · 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{Q4IIBHHQCZ7JSNQD74GHAUXXS3}

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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	2026-05-17T23:59:23.071097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8710809cf0167e993603ff0c7052f796dbbe8442b1b20ea2da1847f14840a37a

Aliases

arxiv: 1711.04449 · arxiv_version: 1711.04449v8 · doi: 10.48550/arxiv.1711.04449 · pith_short_12: Q4IIBHHQCZ7J · pith_short_16: Q4IIBHHQCZ7JSNQD · pith_short_8: Q4IIBHHQ

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/Q4IIBHHQCZ7JSNQD74GHAUXXS3 \
  | 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: 8710809cf0167e993603ff0c7052f796dbbe8442b1b20ea2da1847f14840a37a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68e2528cebe816d4cc8ffcc237cbc769b3eb9ba787fcff255486f7e1841722a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-11-13T07:25:15Z",
    "title_canon_sha256": "14745201f97819978ed6968b9939c871fc0ff33c298b0b142148a65ec78be05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04449",
    "kind": "arxiv",
    "version": 8
  }
}