Pith Number

pith:VNUVEGRR

pith:2018:VNUVEGRRSCKWM5CDFDVT2E7M5X

not attested not anchored not stored refs pending

Elevation Beamforming with Full Dimension MIMO Architectures in 5G Systems: A Tutorial

Abla Kammoun, Mohamed-Slim Alouini, Qurrat-Ul-Ain Nadeem

arxiv:1805.00225 v4 · 2018-05-01 · 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{VNUVEGRRSCKWM5CDFDVT2E7M5X}

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	2026-05-17T23:44:04.710762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab69521a31909566744328eb3d13ecedea14fcbdd59f0569d086bcf13868701a

Aliases

arxiv: 1805.00225 · arxiv_version: 1805.00225v4 · doi: 10.48550/arxiv.1805.00225 · pith_short_12: VNUVEGRRSCKW · pith_short_16: VNUVEGRRSCKWM5CD · pith_short_8: VNUVEGRR

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/VNUVEGRRSCKWM5CDFDVT2E7M5X \
  | 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: ab69521a31909566744328eb3d13ecedea14fcbdd59f0569d086bcf13868701a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b74277a607c6116978e237f29ad1f9ab8108ceccdbf6c4176be603bb29b9512",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-05-01T07:56:57Z",
    "title_canon_sha256": "9fd96ab57afd0ccb85487662c5e89057bb41475bae993311dddf9ac87048f160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00225",
    "kind": "arxiv",
    "version": 4
  }
}