Pith Number

pith:WZS265UM

pith:2013:WZS265UMA3JLLMAA4325GEAOZJ

not attested not anchored not stored refs pending

Sum-Rate Maximization with Minimum Power Consumption for MIMO DF Two-Way Relaying: Part I - Relay Optimization

Hai Jiang, Jianshu Zhang, Jie Gao, Martin Haardt, Sergiy A. Vorobyov

arxiv:1301.1732 v1 · 2013-01-09 · 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{WZS265UMA3JLLMAA4325GEAOZJ}

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	2026-05-18T01:52:14.735509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b665af768c06d2b5b000e6f5d3100eca6400ff35db901f506572a112342330e9

Aliases

arxiv: 1301.1732 · arxiv_version: 1301.1732v1 · doi: 10.48550/arxiv.1301.1732 · pith_short_12: WZS265UMA3JL · pith_short_16: WZS265UMA3JLLMAA · pith_short_8: WZS265UM

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/WZS265UMA3JLLMAA4325GEAOZJ \
  | 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: b665af768c06d2b5b000e6f5d3100eca6400ff35db901f506572a112342330e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4203381c9c937f77ef67597ea4f33fd61226bc3d681faef922d09b4293548080",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-09T01:31:39Z",
    "title_canon_sha256": "efe58981a82f74961501af694eda9f69b6529f676e170f66bd74d481d20abf09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1732",
    "kind": "arxiv",
    "version": 1
  }
}