Pith Number

pith:K7J4DLYY

pith:2019:K7J4DLYYUGMJAPRIY6NGGTD2DU

not attested not anchored not stored refs pending

Max-Min Rate of Cell-Free Massive MIMO Uplink with Optimal Uniform Quantization

Alister G. Burr, Hien Quoc Ngo, Kanapathippillai Cumanan, Manijeh Bashar, Merouane Debbah, Pei Xiao

arxiv:1907.03262 v1 · 2019-07-07 · 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{K7J4DLYYUGMJAPRIY6NGGTD2DU}

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	2026-05-17T23:41:16.730101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d3c1af18a198903e28c79a634c7a1d04b70e8bdfeda58efd3aeddc9ce0db4b

Aliases

arxiv: 1907.03262 · arxiv_version: 1907.03262v1 · doi: 10.48550/arxiv.1907.03262 · pith_short_12: K7J4DLYYUGMJ · pith_short_16: K7J4DLYYUGMJAPRI · pith_short_8: K7J4DLYY

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/K7J4DLYYUGMJAPRIY6NGGTD2DU \
  | 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: 57d3c1af18a198903e28c79a634c7a1d04b70e8bdfeda58efd3aeddc9ce0db4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d25cf597a256623b656d9a2422db5355ce7748ad222c357f9265321939bc90e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-07-07T09:46:12Z",
    "title_canon_sha256": "36473e62d4983c64e2a278f61eefa9058ff354d76661cc9ba2ddda086e74db59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03262",
    "kind": "arxiv",
    "version": 1
  }
}