Pith Number

pith:6VPUKM3V

pith:2010:6VPUKM3VQ3GMY4WUEII6TN35RI

not attested not anchored not stored refs pending

A New Formula for the BER of Binary Modulations with Dual-Branch Selection over Generalized-K Composite Fading Channels

Ferkan Yilmaz, Halim Yanikomeroglu, Imran Shafique Ansari, Mohamed-Slim Alouini, Saad Al-Ahmadi

arxiv:1012.3788 v1 · 2010-12-17 · cs.IT · math.IT · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VPUKM3VQ3GMY4WUEII6TN35RI}

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	2026-05-18T03:55:47.172619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55f45337586cccc72d42211e9b77d8a312c32402c57277cf5faec55f316e9a0

Aliases

arxiv: 1012.3788 · arxiv_version: 1012.3788v1 · doi: 10.48550/arxiv.1012.3788 · pith_short_12: 6VPUKM3VQ3GM · pith_short_16: 6VPUKM3VQ3GMY4WU · pith_short_8: 6VPUKM3V

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/6VPUKM3VQ3GMY4WUEII6TN35RI \
  | 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: f55f45337586cccc72d42211e9b77d8a312c32402c57277cf5faec55f316e9a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439af744fbbb1533ea93d2295f99039870e0f7e05ac6899eaa7584e53859fd66",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-17T00:22:12Z",
    "title_canon_sha256": "8ceb5484432d81d0644174e32f2a3582549d25028a1af67d8551ff37d8fd5a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3788",
    "kind": "arxiv",
    "version": 1
  }
}