Pith Number

pith:QD6QASIL

pith:2017:QD6QASIL4FNSZNO6BP2UIYQ4XD

not attested not anchored not stored refs pending

Spatial Modulation for More Spatial Multiplexing: RF-Chain-Limited Generalized Spatial Modulation Aided MmWave MIMO with Hybrid Precoding

Jian Song, Jintao Wang, Longzhuang He

arxiv:1709.02528 v1 · 2017-09-08 · 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{QD6QASIL4FNSZNO6BP2UIYQ4XD}

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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	2026-05-18T00:35:45.459810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fd00490be15b2cb5de0bf544621cb8fc24d294eb1e5e9a9e4f65fbfe0b0720

Aliases

arxiv: 1709.02528 · arxiv_version: 1709.02528v1 · doi: 10.48550/arxiv.1709.02528 · pith_short_12: QD6QASIL4FNS · pith_short_16: QD6QASIL4FNSZNO6 · pith_short_8: QD6QASIL

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/QD6QASIL4FNSZNO6BP2UIYQ4XD \
  | 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: 80fd00490be15b2cb5de0bf544621cb8fc24d294eb1e5e9a9e4f65fbfe0b0720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8120c058e74f3a817aceb297e2ac1002d86c40c118f5bcaf460f585b47d752ce",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-09-08T04:16:05Z",
    "title_canon_sha256": "0d722e4da7ff785ad975591428eefaecf2a91e8148a2520b537677723816ba43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02528",
    "kind": "arxiv",
    "version": 1
  }
}