Pith Number

pith:53RPQS6I

pith:2015:53RPQS6IOV2DKVUNTONPMVP4SV

not attested not anchored not stored refs pending

On the Multivariate Gamma-Gamma ($\Gamma \Gamma$) Distribution with Arbitrary Correlation and Applications in Wireless Communications

George K. Karagiannidis, Jiayi Zhang, Linglong Dai, Michail Matthaiou

arxiv:1505.06685 v1 · 2015-05-25 · cs.IT · math.IT

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

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	2026-05-18T00:57:50.628180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee2f84bc8757435568d9b9af655fc956bbbd004ec2d6658a51aa42683a2bb3d

Aliases

arxiv: 1505.06685 · arxiv_version: 1505.06685v1 · doi: 10.48550/arxiv.1505.06685 · pith_short_12: 53RPQS6IOV2D · pith_short_16: 53RPQS6IOV2DKVUN · pith_short_8: 53RPQS6I

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/53RPQS6IOV2DKVUNTONPMVP4SV \
  | 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: eee2f84bc8757435568d9b9af655fc956bbbd004ec2d6658a51aa42683a2bb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052a9588a681e187ed2d54f0c0868b4f7412b95c1db10e89d6b802ee87095312",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-25T16:38:17Z",
    "title_canon_sha256": "9dbcef9b71f622a7bf1100df01a4ec7120bec93af5b1d91f7bd80c0ff854aa79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06685",
    "kind": "arxiv",
    "version": 1
  }
}