Pith Number

pith:FKQYMNI5

pith:2015:FKQYMNI5HDVNF6NP5D7Q62KUTL

not attested not anchored not stored refs pending

Massive MIMO and Millimeter Wave for 5G Wireless HetNet: Potentials and Challenges

Long Bao Le, Tadilo Endeshaw Bogale

arxiv:1510.06359 v1 · 2015-10-21 · cs.IT · cs.NI · 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{FKQYMNI5HDVNF6NP5D7Q62KUTL}

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	2026-05-18T01:29:37.141817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa186351d38ead2f9afe8ff0f69549ae2adba626bc5322e354616da380b419a

Aliases

arxiv: 1510.06359 · arxiv_version: 1510.06359v1 · doi: 10.48550/arxiv.1510.06359 · pith_short_12: FKQYMNI5HDVN · pith_short_16: FKQYMNI5HDVNF6NP · pith_short_8: FKQYMNI5

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/FKQYMNI5HDVNF6NP5D7Q62KUTL \
  | 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: 2aa186351d38ead2f9afe8ff0f69549ae2adba626bc5322e354616da380b419a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2312c3e75ab9de2c830d175a2ef7071052c9388f5bf4643659fa0f6b3e92ba9",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-21T18:34:40Z",
    "title_canon_sha256": "bf71abf25689370117224a119ab87c242803bf31939499711bf2a6a586fd8d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06359",
    "kind": "arxiv",
    "version": 1
  }
}