Pith Number

pith:5GFG7LQ3

pith:2012:5GFG7LQ3PEVBSQRCCKJG5354JG

not attested not anchored not stored refs pending

Power Allocation Strategies for Fixed-Gain Half-Duplex Amplify-and-Forward Relaying in Nakagami-m Fading

Ammar Zafar, Mohamed-Slim Alouini, Redha M. Radaydeh, Yunfei Chen

arxiv:1211.5931 v2 · 2012-11-26 · 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{5GFG7LQ3PEVBSQRCCKJG5354JG}

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	2026-05-18T03:38:22.930326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98a6fae1b792a19422212926eefbc49b0b251958f78f5c0b65f0acd7f02963c

Aliases

arxiv: 1211.5931 · arxiv_version: 1211.5931v2 · doi: 10.48550/arxiv.1211.5931 · pith_short_12: 5GFG7LQ3PEVB · pith_short_16: 5GFG7LQ3PEVBSQRC · pith_short_8: 5GFG7LQ3

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/5GFG7LQ3PEVBSQRCCKJG5354JG \
  | 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: e98a6fae1b792a19422212926eefbc49b0b251958f78f5c0b65f0acd7f02963c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86d540ec909b46a18edd088bc7a06063bb6cc0a23c26668141a4296212e5038",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-26T12:31:47Z",
    "title_canon_sha256": "e59f03c32ffc1e729d84842b6dccad073ad2ec92a880af2cbb9a8010c035b6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5931",
    "kind": "arxiv",
    "version": 2
  }
}