Pith Number

pith:5LB73QRU

pith:2016:5LB73QRUDIJ6YXBTTY4SFYWWH3

not attested not anchored not stored refs pending

Geometry-Based Stochastic Channel Models for 5G: Extending Key Features for Massive MIMO

Alex Oliveras Martinez, Elisabeth de Carvalho, Patrick Eggers

arxiv:1609.05639 v1 · 2016-09-19 · 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{5LB73QRUDIJ6YXBTTY4SFYWWH3}

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	2026-05-18T01:04:25.802327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac3fdc2341a13ec5c339e3922e2d63effe2265001106a25982fae572ab19b94

Aliases

arxiv: 1609.05639 · arxiv_version: 1609.05639v1 · doi: 10.48550/arxiv.1609.05639 · pith_short_12: 5LB73QRUDIJ6 · pith_short_16: 5LB73QRUDIJ6YXBT · pith_short_8: 5LB73QRU

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/5LB73QRUDIJ6YXBTTY4SFYWWH3 \
  | 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: eac3fdc2341a13ec5c339e3922e2d63effe2265001106a25982fae572ab19b94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c99bf3a5d421a412e1c066efcb0ae384964b984dc641daf207d894856f0560db",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-19T08:55:12Z",
    "title_canon_sha256": "e609e2fe4cc0668b176995c37de04026a41ec83d00ef6b683e70f3d4de58c983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05639",
    "kind": "arxiv",
    "version": 1
  }
}