Pith Number

pith:N7XKQ35Y

pith:2013:N7XKQ35YWXMTOGOCIHIVDXT6YE

not attested not anchored not stored refs pending

Massive MU-MIMO Downlink TDD Systems with Linear Precoding and Downlink Pilots

Erik G. Larsson, Hien Quoc Ngo, Thomas L. Marzetta

arxiv:1310.1510 v1 · 2013-10-05 · 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{N7XKQ35YWXMTOGOCIHIVDXT6YE}

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	2026-05-18T03:11:11.707059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6feea86fb8b5d93719c241d151de7ec1132df358935aff0453479dfcff10d6ad

Aliases

arxiv: 1310.1510 · arxiv_version: 1310.1510v1 · doi: 10.48550/arxiv.1310.1510 · pith_short_12: N7XKQ35YWXMT · pith_short_16: N7XKQ35YWXMTOGOC · pith_short_8: N7XKQ35Y

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/N7XKQ35YWXMTOGOCIHIVDXT6YE \
  | 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: 6feea86fb8b5d93719c241d151de7ec1132df358935aff0453479dfcff10d6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f9d9c3cef59e6c01f812b110e4a362de8b74bf8d077ca8e8a108035158a1de",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-05T19:46:53Z",
    "title_canon_sha256": "af8ec5ecb10877f649f7af3a598b3ecfef9aa16746dc9ceb0861d66123ba78e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1510",
    "kind": "arxiv",
    "version": 1
  }
}