Pith Number

pith:72WN24SE

pith:2015:72WN24SE6XXX7ZKDL5I6LW43HK

not attested not anchored not stored refs pending

Linear Massive MIMO Precoders in the Presence of Phase Noise -- A Large-Scale Analysis

A. Graell i Amat, M. R. Khanzadi, N. Krishnan, R. Krishnan, R. Schober, T. Eriksson, Y. Wu

arxiv:1501.05461 v1 · 2015-01-22 · 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{72WN24SE6XXX7ZKDL5I6LW43HK}

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	2026-05-18T02:28:54.595847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feacdd7244f5ef7fe5435f51e5db9b3a9615c92209697fdc4177c184ecfa6e54

Aliases

arxiv: 1501.05461 · arxiv_version: 1501.05461v1 · doi: 10.48550/arxiv.1501.05461 · pith_short_12: 72WN24SE6XXX · pith_short_16: 72WN24SE6XXX7ZKD · pith_short_8: 72WN24SE

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/72WN24SE6XXX7ZKDL5I6LW43HK \
  | 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: feacdd7244f5ef7fe5435f51e5db9b3a9615c92209697fdc4177c184ecfa6e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e22d4bbb9cf1928099c23f42073db81b929374ce0233f7da1c8b4f172ce57e4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-22T11:24:59Z",
    "title_canon_sha256": "f37849e72a36a757505846f365cfbb3b4016f958d154834b2e3fde7773f692d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05461",
    "kind": "arxiv",
    "version": 1
  }
}