Pith Number

pith:HH6777K4

pith:2015:HH6777K4WJU3LLMUIMOWDQUFM4

not attested not anchored not stored refs pending

A Hierarchical Rate Splitting Strategy for FDD Massive MIMO under Imperfect CSIT

Bruno Clerckx, David Gesbert, Giuseppe Caire, Mingbo Dai

arxiv:1507.07716 v1 · 2015-07-28 · 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{HH6777K4WJU3LLMUIMOWDQUFM4}

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	2026-05-18T00:58:57.980219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fdfffd5cb269b5ad94431d61c2856720358967da6070162b2adb190953227f

Aliases

arxiv: 1507.07716 · arxiv_version: 1507.07716v1 · doi: 10.48550/arxiv.1507.07716 · pith_short_12: HH6777K4WJU3 · pith_short_16: HH6777K4WJU3LLMU · pith_short_8: HH6777K4

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/HH6777K4WJU3LLMUIMOWDQUFM4 \
  | 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: 39fdfffd5cb269b5ad94431d61c2856720358967da6070162b2adb190953227f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fca0836a4077d6ca0a57cae3748e1b969e829cef556c7ee726a102b4dea4902a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-28T10:37:07Z",
    "title_canon_sha256": "cda7712b7c56fa781f8c4fec27706c58d89e5eff2ec7833997447c30e0e6b413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07716",
    "kind": "arxiv",
    "version": 1
  }
}