Pith Number

pith:AN2Y6RH4

pith:2016:AN2Y6RH43HFIBL5SYOB2IPLIIG

not attested not anchored not stored refs pending

Performance Analysis of Multi-User Massive MIMO Downlink under Channel Non-Reciprocity and Imperfect CSI

Ahmet Gokceoglu, Emil Bj\"ornson, Mikko Valkama, Orod Raeesi, Yaning Zou

arxiv:1610.06769 v3 · 2016-10-21 · 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{AN2Y6RH43HFIBL5SYOB2IPLIIG}

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	2026-05-18T00:22:06.578449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03758f44fcd9ca80afb2c383a43d684197aa00b966abe58a039c689a03ceed86

Aliases

arxiv: 1610.06769 · arxiv_version: 1610.06769v3 · doi: 10.48550/arxiv.1610.06769 · pith_short_12: AN2Y6RH43HFI · pith_short_16: AN2Y6RH43HFIBL5S · pith_short_8: AN2Y6RH4

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/AN2Y6RH43HFIBL5SYOB2IPLIIG \
  | 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: 03758f44fcd9ca80afb2c383a43d684197aa00b966abe58a039c689a03ceed86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75fb3d9bc8f5778946ef07b4a5ae6965d1774556f5483fd2e8238f0a6699cb9a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-21T12:50:37Z",
    "title_canon_sha256": "c89a9ee168085dd021f1892fca9b4a934bfbea89c5453ca06a1f268aff9f4538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06769",
    "kind": "arxiv",
    "version": 3
  }
}