Pith Number

pith:L4D3HR7V

pith:2016:L4D3HR7VCVV7UUUTZH2XYXY24K

not attested not anchored not stored refs pending

Design of 5G Full Dimension Massive MIMO Systems

Abla Kammoun, and Mohamed-Slim Alouini, M\'erouane Debbah, Qurrat-Ul-Ain Nadeem

arxiv:1612.03993 v2 · 2016-12-13 · 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{L4D3HR7VCVV7UUUTZH2XYXY24K}

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	2026-05-18T00:17:13.574760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f07b3c7f5156bfa5293c9f57c5f1ae28c67dc49ac1178ea01ab945cdfffee6c

Aliases

arxiv: 1612.03993 · arxiv_version: 1612.03993v2 · doi: 10.48550/arxiv.1612.03993 · pith_short_12: L4D3HR7VCVV7 · pith_short_16: L4D3HR7VCVV7UUUT · pith_short_8: L4D3HR7V

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/L4D3HR7VCVV7UUUTZH2XYXY24K \
  | 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: 5f07b3c7f5156bfa5293c9f57c5f1ae28c67dc49ac1178ea01ab945cdfffee6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578583cb93f69856b5dc3e1b032ef04abfe2422d45d9e7450ddd401b3531c2ad",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-13T01:48:53Z",
    "title_canon_sha256": "56367dae52a3dc009e0278a1abdf3cfca43aae7c3eaad3b95c5d680f9982bef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03993",
    "kind": "arxiv",
    "version": 2
  }
}