Pith Number

pith:LPGBUJKZ

pith:2021:LPGBUJKZ7Z2MIR4XII53FJGRBW

not attested not anchored not stored refs pending

Is RIS-Aided Massive MIMO Promising with ZF Detectors and Imperfect CSI?

Cunhua Pan, Gui Zhou, Hong Ren, Kangda Zhi, Maged Elkashlan, Robert Schober

arxiv:2111.01585 v1 · 2021-11-02 · cs.IT · eess.SP · 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{LPGBUJKZ7Z2MIR4XII53FJGRBW}

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	2026-07-05T03:28:30.467557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcc1a2559fe74c44797423bb2a4d10db7a5b3f23d62ebc19dbc15016757498e

Aliases

arxiv: 2111.01585 · arxiv_version: 2111.01585v1 · doi: 10.48550/arxiv.2111.01585 · pith_short_12: LPGBUJKZ7Z2M · pith_short_16: LPGBUJKZ7Z2MIR4X · pith_short_8: LPGBUJKZ

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/LPGBUJKZ7Z2MIR4XII53FJGRBW \
  | 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: 5bcc1a2559fe74c44797423bb2a4d10db7a5b3f23d62ebc19dbc15016757498e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af3d029dd4343c4264c5b2fd7388c2dce2b03c6cec4dcdfad9c235bf159bf7d",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-11-02T13:21:10Z",
    "title_canon_sha256": "270e7eb33b215d3e20b1e75639d7d993db68ad4193be6376009ef98f1763500b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01585",
    "kind": "arxiv",
    "version": 1
  }
}