Pith Number

pith:QCNMK3EM

pith:2016:QCNMK3EMPOZTCJLXXXDG5NMXAP

not attested not anchored not stored refs pending

On the Multi-User, Multi-Cell Massive Spatial Modulation Uplink: How Many Antennas for Each User?

Jian Song, Jintao Wang, Lajos Hanzo, Longzhuang He

arxiv:1612.08666 v1 · 2016-12-27 · 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{QCNMK3EMPOZTCJLXXXDG5NMXAP}

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	2026-05-18T00:53:52.437077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809ac56c8c7bb3312577bdc66eb59703de1eefb63217e2f528cdec73537e50f0

Aliases

arxiv: 1612.08666 · arxiv_version: 1612.08666v1 · doi: 10.48550/arxiv.1612.08666 · pith_short_12: QCNMK3EMPOZT · pith_short_16: QCNMK3EMPOZTCJLX · pith_short_8: QCNMK3EM

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/QCNMK3EMPOZTCJLXXXDG5NMXAP \
  | 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: 809ac56c8c7bb3312577bdc66eb59703de1eefb63217e2f528cdec73537e50f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701c123fe70b8da2a26bc71aae119263f9b15a8274315ba760e5c5a54d6c5329",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-27T16:10:10Z",
    "title_canon_sha256": "3ec0dadb029f3d0ca6221e39fae3d3832856c4ace285599c5dd6d47594c23d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08666",
    "kind": "arxiv",
    "version": 1
  }
}