Pith Number

pith:KTPY7VR5

pith:2016:KTPY7VR56RUZTSMC3EVRFQSYWQ

not attested not anchored not stored refs pending

Performance of Massive MIMO Uplink with Zero-Forcing receivers under Delayed Channels

Anastasios K. Papazafeiropoulos, Hien Quoc Ngo, Tharm Ratnarajah

arxiv:1607.06351 v1 · 2016-07-21 · 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{KTPY7VR56RUZTSMC3EVRFQSYWQ}

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	2026-05-18T00:58:33.116702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54df8fd63df46999c982d92b12c258b40dc52743bf4a9e91affbebac1629f96c

Aliases

arxiv: 1607.06351 · arxiv_version: 1607.06351v1 · doi: 10.48550/arxiv.1607.06351 · pith_short_12: KTPY7VR56RUZ · pith_short_16: KTPY7VR56RUZTSMC · pith_short_8: KTPY7VR5

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/KTPY7VR56RUZTSMC3EVRFQSYWQ \
  | 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: 54df8fd63df46999c982d92b12c258b40dc52743bf4a9e91affbebac1629f96c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfc3f72b4b03c66d82916a5e7a801960c591d635e74bf08f08d5f7be68ca2c5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-21T14:55:16Z",
    "title_canon_sha256": "a2392e5c7836ad3b39fbd31b370dfd2deae28752b67eded36760dcf6ea050e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06351",
    "kind": "arxiv",
    "version": 1
  }
}