Pith Number

pith:YRUZKWZO

pith:2013:YRUZKWZOST7PTXSMDS5OMJEGUL

not attested not anchored not stored refs pending

Spatially Sparse Precoding in Millimeter Wave MIMO Systems

Omar El Ayach, Robert W. Heath Jr, Shadi Abu-Surra, Sridhar Rajagopal, Zhouyue Pi

arxiv:1305.2460 v1 · 2013-05-11 · 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{YRUZKWZOST7PTXSMDS5OMJEGUL}

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	2026-05-18T00:57:56.394020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c469955b2e94fef9de4c1cbae62486a2f92be53703f29f233927019cf31d2af7

Aliases

arxiv: 1305.2460 · arxiv_version: 1305.2460v1 · doi: 10.48550/arxiv.1305.2460 · pith_short_12: YRUZKWZOST7P · pith_short_16: YRUZKWZOST7PTXSM · pith_short_8: YRUZKWZO

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/YRUZKWZOST7PTXSMDS5OMJEGUL \
  | 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: c469955b2e94fef9de4c1cbae62486a2f92be53703f29f233927019cf31d2af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc2715a968be55f72a2698ea93f9e46c065987fa825946eab9621340940f7dd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-11T01:39:46Z",
    "title_canon_sha256": "105264a9840eaf9d0b3aafcf709199234f6c66ec34d11da58a4c85eba263923f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2460",
    "kind": "arxiv",
    "version": 1
  }
}