Pith Number

pith:WJ3QFQQW

pith:2015:WJ3QFQQWQYQ347POSGSJAWQSQG

not attested not anchored not stored refs pending

Fractional Pilot Reuse in Massive MIMO Systems

Italo Atzeni, Jes\'us Arnau, M\'erouane Debbah

arxiv:1503.07321 v2 · 2015-03-25 · 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{WJ3QFQQWQYQ347POSGSJAWQSQG}

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	2026-05-18T00:59:01.965464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27702c2168621be7dee91a4905a1281b771895311e6c9f38c6ac8e40b744e33

Aliases

arxiv: 1503.07321 · arxiv_version: 1503.07321v2 · doi: 10.48550/arxiv.1503.07321 · pith_short_12: WJ3QFQQWQYQ3 · pith_short_16: WJ3QFQQWQYQ347PO · pith_short_8: WJ3QFQQW

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/WJ3QFQQWQYQ347POSGSJAWQSQG \
  | 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: b27702c2168621be7dee91a4905a1281b771895311e6c9f38c6ac8e40b744e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517740355f0ce955a80f1719737ede24fa3921d15d171ee9b87c6097a3c01218",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-25T10:08:00Z",
    "title_canon_sha256": "016d68fc998a5c858b34832b28ecaeb8bfbff7bfb7b53a2cb3303c2717cc4d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07321",
    "kind": "arxiv",
    "version": 2
  }
}