Pith Number

pith:2IYJ5YFB

pith:2017:2IYJ5YFBWPUU4CP7CBHHZQYTXH

not attested not anchored not stored refs pending

Spectral and Energy Efficiency of Multi-pair Massive MIMO Relay Network with Hybrid Processing

Jian Liu, Shi Jin, Wei Xu, Xiaodai Dong

arxiv:1706.06743 v2 · 2017-06-21 · 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{2IYJ5YFBWPUU4CP7CBHHZQYTXH}

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	2026-05-18T00:41:43.942921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2309ee0a1b3e94e09ff104e7cc313b9ccd2859e42a74103233ba2f67e12646d

Aliases

arxiv: 1706.06743 · arxiv_version: 1706.06743v2 · doi: 10.48550/arxiv.1706.06743 · pith_short_12: 2IYJ5YFBWPUU · pith_short_16: 2IYJ5YFBWPUU4CP7 · pith_short_8: 2IYJ5YFB

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/2IYJ5YFBWPUU4CP7CBHHZQYTXH \
  | 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: d2309ee0a1b3e94e09ff104e7cc313b9ccd2859e42a74103233ba2f67e12646d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c929468ca0e6b75c24c57e02aff9608e825e3e5844c92133153e804c35d69666",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-21T05:31:27Z",
    "title_canon_sha256": "e943910ef46a3edc5b75969414d9317a28e133c68ddd67323ed471625c8cfa36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06743",
    "kind": "arxiv",
    "version": 2
  }
}