Pith Number

pith:LRFECWVS

pith:2013:LRFECWVS7YHYJK2RVFIV7EY3JF

not attested not anchored not stored refs pending

Linear Precoding Based on Polynomial Expansion: Large-Scale Multi-Cell MIMO Systems

Abla Kammoun, Axel M\"uller, Emil Bj\"ornson, M\'erouane Debbah

arxiv:1310.1799 v2 · 2013-10-07 · 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{LRFECWVS7YHYJK2RVFIV7EY3JF}

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	2026-05-18T02:40:10.917798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4a415ab2fe0f84ab51a9515f931b4977b876804f8eee1cb2a8bbdbae89d4cb

Aliases

arxiv: 1310.1799 · arxiv_version: 1310.1799v2 · doi: 10.48550/arxiv.1310.1799 · pith_short_12: LRFECWVS7YHY · pith_short_16: LRFECWVS7YHYJK2R · pith_short_8: LRFECWVS

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/LRFECWVS7YHYJK2RVFIV7EY3JF \
  | 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: 5c4a415ab2fe0f84ab51a9515f931b4977b876804f8eee1cb2a8bbdbae89d4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11088d38fe09cdbe9759f9eb32e6cf9aee49f7ea8092926fea7c63f823ecf90",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-07T14:33:18Z",
    "title_canon_sha256": "875b1494a448d1a30edc913a0a54cf75901c56accc82f16a6eb2aecdd4daa87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1799",
    "kind": "arxiv",
    "version": 2
  }
}