Pith Number

pith:QBZUYL3S

pith:2016:QBZUYL3ST27UIF7MYKAOPS3XUA

not attested not anchored not stored refs pending

Massive MIMO with Multi-Antenna Users: When are Additional User Antennas Beneficial?

Emil Bj\"ornson, Jing Wang, Shidong Zhou, Xueru Li

arxiv:1603.09052 v1 · 2016-03-30 · 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{QBZUYL3ST27UIF7MYKAOPS3XUA}

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	2026-05-18T01:18:03.866406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80734c2f729ebf4417ecc280e7cb77a022b0b5354f2a90ede92ec00329363a7a

Aliases

arxiv: 1603.09052 · arxiv_version: 1603.09052v1 · doi: 10.48550/arxiv.1603.09052 · pith_short_12: QBZUYL3ST27U · pith_short_16: QBZUYL3ST27UIF7M · pith_short_8: QBZUYL3S

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/QBZUYL3ST27UIF7MYKAOPS3XUA \
  | 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: 80734c2f729ebf4417ecc280e7cb77a022b0b5354f2a90ede92ec00329363a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86dd928b8cc6419f0adb8dc16bd19f020bc67cefbe3ee4643fefd7af482770f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-30T06:56:37Z",
    "title_canon_sha256": "41f5eb6a6e8894efc70f9fb947d217914d6bd8ca8ecad3f4ea67418746f05e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09052",
    "kind": "arxiv",
    "version": 1
  }
}