Pith Number

pith:X5PYX3GX

pith:2015:X5PYX3GXB22PFBZDWEW6GE45JH

not attested not anchored not stored refs pending

Achievable Rates of Multi-User Millimeter Wave Systems with Hybrid Precoding

Ahmed Alkhateeb, Geert Leus, Robert W. Heath Jr.

arxiv:1505.00303 v1 · 2015-05-02 · 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{X5PYX3GXB22PFBZDWEW6GE45JH}

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	2026-05-18T00:58:35.657206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5f8becd70eb4f28723b12de3139d49d66e5724113d8a7040e3b3a8bb4849df

Aliases

arxiv: 1505.00303 · arxiv_version: 1505.00303v1 · doi: 10.48550/arxiv.1505.00303 · pith_short_12: X5PYX3GXB22P · pith_short_16: X5PYX3GXB22PFBZD · pith_short_8: X5PYX3GX

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/X5PYX3GXB22PFBZDWEW6GE45JH \
  | 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: bf5f8becd70eb4f28723b12de3139d49d66e5724113d8a7040e3b3a8bb4849df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9496404c48049d6848fd31adbe9db0d227196ee014a056e132e1b120d843105",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-02T02:08:41Z",
    "title_canon_sha256": "36d2fce31e037ca39e6137b7124acf9f7d79dd8adfc48fae59868f7d62fcea32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00303",
    "kind": "arxiv",
    "version": 1
  }
}