Pith Number

pith:GQPRLGWZ

pith:2012:GQPRLGWZ2HM4OSUG4BN7O7RBQX

not attested not anchored not stored refs pending

On the Secrecy Rate Region of a Fading Multiple-Antenna Gaussian Broadcast Channel with Confidential Messages and Partial CSIT

Chien-Li Su, Hsuan-Jung Su, Pin-Hsun Lin

arxiv:1206.4767 v2 · 2012-06-21 · 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{GQPRLGWZ2HM4OSUG4BN7O7RBQX}

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	2026-05-18T03:52:41.107115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341f159ad9d1d9c74a86e05bf77e2185f9b696ba7f42951530e8554d6739be75

Aliases

arxiv: 1206.4767 · arxiv_version: 1206.4767v2 · doi: 10.48550/arxiv.1206.4767 · pith_short_12: GQPRLGWZ2HM4 · pith_short_16: GQPRLGWZ2HM4OSUG · pith_short_8: GQPRLGWZ

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/GQPRLGWZ2HM4OSUG4BN7O7RBQX \
  | 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: 341f159ad9d1d9c74a86e05bf77e2185f9b696ba7f42951530e8554d6739be75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d70ac844c1b6065955bff2dcd206792b963f5045c5f161bd81a9eb0b3f7e3b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-21T03:10:49Z",
    "title_canon_sha256": "ef8ab040013aeb7487bc41124ab0025e0e22548bafe7ce5bdfb9a3d0f3447284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4767",
    "kind": "arxiv",
    "version": 2
  }
}