pith. sign in
Pith Number

pith:FOS5MALQ

pith:2005:FOS5MALQJRCCAQRF5MDGRCTCVS
not attested not anchored not stored refs pending

Capacity and Character Expansions: Moment generating function and other exact results for MIMO correlated channels

Aris L. Moustakas, Luca Marinelli, Steven H. Simon

arxiv:cs/0509080 v1 · 2005-09-27 · cs.IT · cond-mat.mes-hall · cond-mat.stat-mech · hep-lat · math-ph · math.IT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FOS5MALQJRCCAQRF5MDGRCTCVS}

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 2026-05-18T01:06:49.038512Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2ba5d601704c44204225eb06688a62ac9ee2087cfa5600041fd8fe5a591e24e2

Aliases

arxiv: cs/0509080 · arxiv_version: cs/0509080v1 · doi: 10.48550/arxiv.cs/0509080 · pith_short_12: FOS5MALQJRCC · pith_short_16: FOS5MALQJRCCAQRF · pith_short_8: FOS5MALQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FOS5MALQJRCCAQRF5MDGRCTCVS \
  | 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: 2ba5d601704c44204225eb06688a62ac9ee2087cfa5600041fd8fe5a591e24e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bb4a50eabd5017e24b6e898902e4afeda62faa498287acc85278dca5ac859f91",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.stat-mech",
      "hep-lat",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-09-27T12:59:19Z",
    "title_canon_sha256": "b1d986eb77029144b6a60415d2caa673976bd9a15c919cd4463e192f4ab49f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0509080",
    "kind": "arxiv",
    "version": 1
  }
}