Pith Number

pith:X24IVNXS

pith:2016:X24IVNXSHPVKQKFED6RXKNOMUE

not attested not anchored not stored refs pending

Are mmWave Low-Complexity Beamforming Structures Energy-Efficient? Analysis of the Downlink MU-MIMO

Carmen D'Andrea, Stefano Buzzi

arxiv:1610.07240 v1 · 2016-10-23 · 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{X24IVNXSHPVKQKFED6RXKNOMUE}

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	2026-05-18T01:01:30.552415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb88ab6f23beaa828a41fa37535cca124f0344cc3d274ac843d453251eebbaa

Aliases

arxiv: 1610.07240 · arxiv_version: 1610.07240v1 · doi: 10.48550/arxiv.1610.07240 · pith_short_12: X24IVNXSHPVK · pith_short_16: X24IVNXSHPVKQKFE · pith_short_8: X24IVNXS

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/X24IVNXSHPVKQKFED6RXKNOMUE \
  | 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: beb88ab6f23beaa828a41fa37535cca124f0344cc3d274ac843d453251eebbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d40810c1b83308ab5d670808fe8369210b7b3dbc121fccecf9123a96f16aa98a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-23T22:10:02Z",
    "title_canon_sha256": "54fa7ddcbf3ce3119464bfe72ebd7862e13cdd005de604a241904aaa1bd7f9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07240",
    "kind": "arxiv",
    "version": 1
  }
}