Pith Number

pith:Z65NWMTS

pith:2016:Z65NWMTSETHKKIFDZTLR6IB6DM

not attested not anchored not stored refs pending

Multi-Layer Precoding: A Potential Solution for Full-Dimensional Massive MIMO Systems

Ahmed Alkhateeb, Geert Leus, Robert W. Heath Jr

arxiv:1610.04192 v1 · 2016-10-13 · 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{Z65NWMTSETHKKIFDZTLR6IB6DM}

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	2026-05-18T01:02:21.611990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbadb327224cea520a3ccd71f203e1b2c29415c36dde11dbd3cc453c2c4b13e

Aliases

arxiv: 1610.04192 · arxiv_version: 1610.04192v1 · doi: 10.48550/arxiv.1610.04192 · pith_short_12: Z65NWMTSETHK · pith_short_16: Z65NWMTSETHKKIFD · pith_short_8: Z65NWMTS

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/Z65NWMTSETHKKIFDZTLR6IB6DM \
  | 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: cfbadb327224cea520a3ccd71f203e1b2c29415c36dde11dbd3cc453c2c4b13e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7de1fa6a90dce627dad9cd6087216db00800f4c06c7f43ae79ab601fcf7b5f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-13T18:10:09Z",
    "title_canon_sha256": "28d3b1bd296bcef5c7ac9c775ca00eb6b26fa95e5b4838e1a30c52f287811572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04192",
    "kind": "arxiv",
    "version": 1
  }
}