Pith Number

pith:TOEABJUG

pith:2013:TOEABJUGIW44NI35GLUSO4ER3U

not attested not anchored not stored refs pending

A Tutorial on the Optimization of Amplify-and-Forward MIMO Relay Systems

Antonio A. D'Amico, Luca Sanguinetti, Yue Rong

arxiv:1303.2817 v1 · 2013-03-12 · 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{TOEABJUGIW44NI35GLUSO4ER3U}

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	2026-05-18T03:31:07.962396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b8800a68645b9c6a37d32e9277091dd10fd0a2486efdab639f7dfa3dcf7f661

Aliases

arxiv: 1303.2817 · arxiv_version: 1303.2817v1 · doi: 10.48550/arxiv.1303.2817 · pith_short_12: TOEABJUGIW44 · pith_short_16: TOEABJUGIW44NI35 · pith_short_8: TOEABJUG

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/TOEABJUGIW44NI35GLUSO4ER3U \
  | 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: 9b8800a68645b9c6a37d32e9277091dd10fd0a2486efdab639f7dfa3dcf7f661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937dfff0b0504ce01f3eee7402f1f12491793ebe52d0a492ad1eaed99f0d5eda",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-12T09:45:12Z",
    "title_canon_sha256": "bb6e3cb6b1fb12180cf725f2879d498114095fedc4d6b7f63ea1418315b6084d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2817",
    "kind": "arxiv",
    "version": 1
  }
}