Pith Number

pith:HOD2NBKZ

pith:2016:HOD2NBKZBD3TGFEJNOVV4KJTCJ

not attested not anchored not stored refs pending

Ergodic Spectral Efficiency in MIMO Cellular Networks

Angel Lozano, Geordie George, Martin Haenggi, Ratheesh K. Mungara

arxiv:1607.04352 v4 · 2016-07-15 · 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{HOD2NBKZBD3TGFEJNOVV4KJTCJ}

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	2026-05-18T00:38:42.226506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b87a6855908f73314896bab5e2933124bd8679297e00b8d23590e3dc5cb7f95

Aliases

arxiv: 1607.04352 · arxiv_version: 1607.04352v4 · doi: 10.48550/arxiv.1607.04352 · pith_short_12: HOD2NBKZBD3T · pith_short_16: HOD2NBKZBD3TGFEJ · pith_short_8: HOD2NBKZ

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/HOD2NBKZBD3TGFEJNOVV4KJTCJ \
  | 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: 3b87a6855908f73314896bab5e2933124bd8679297e00b8d23590e3dc5cb7f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79bd4cdd8192c7d79448109a13d5e6be29b0fa6a8ed34a3cf17ef056092075b6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-15T01:16:17Z",
    "title_canon_sha256": "c5f52bb48e70b657f6823f5f99e6b4ef6596060eb32aae30ea35d66cd34006dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04352",
    "kind": "arxiv",
    "version": 4
  }
}