Pith Number

pith:HSFBJLMQ

pith:2015:HSFBJLMQ4MLTBPKOSY2YFAUO6F

not attested not anchored not stored refs pending

A Rate Splitting Strategy for Massive MIMO with Imperfect CSIT

Bruno Clerckx, David Gesbert, Giuseppe Caire, Mingbo Dai

arxiv:1512.07221 v1 · 2015-12-22 · 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{HSFBJLMQ4MLTBPKOSY2YFAUO6F}

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	2026-05-18T00:58:34.364516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8a14ad90e31730bd4e963582828ef14a212c2451af4f78deb00f82d00777bf

Aliases

arxiv: 1512.07221 · arxiv_version: 1512.07221v1 · doi: 10.48550/arxiv.1512.07221 · pith_short_12: HSFBJLMQ4MLT · pith_short_16: HSFBJLMQ4MLTBPKO · pith_short_8: HSFBJLMQ

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/HSFBJLMQ4MLTBPKOSY2YFAUO6F \
  | 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: 3c8a14ad90e31730bd4e963582828ef14a212c2451af4f78deb00f82d00777bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3caf5d8c4984533aaa7506b05bae0a1595c91991ace86a04e2584961b0d445a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-22T19:55:21Z",
    "title_canon_sha256": "cb5fb759795df0682d738a070775494778d51f2016fce479fc1f1af2becd2561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07221",
    "kind": "arxiv",
    "version": 1
  }
}