Pith Number

pith:WPI45VXM

pith:2018:WPI45VXMH4CYTRMEBQZCEZZZB3

not attested not anchored not stored refs pending

Hybrid Precoding Architecture for Massive Multiuser MIMO with Dissipation: Sub-Connected or Fully-Connected Structures?

Chunming Zhao, Hong Shen, Jingbo Du, Wei Xu, Xiaodai Dong

arxiv:1806.02857 v1 · 2018-06-07 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPI45VXMH4CYTRMEBQZCEZZZB3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:13:54.574212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d1ced6ec3f0589c5840c322267390ee7d51ca77bad91aa17f1be9b5fe6fb58

Aliases

arxiv: 1806.02857 · arxiv_version: 1806.02857v1 · doi: 10.48550/arxiv.1806.02857 · pith_short_12: WPI45VXMH4CY · pith_short_16: WPI45VXMH4CYTRME · pith_short_8: WPI45VXM

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/WPI45VXMH4CYTRMEBQZCEZZZB3 \
  | 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: b3d1ced6ec3f0589c5840c322267390ee7d51ca77bad91aa17f1be9b5fe6fb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9c1b1afe1d6a45ea1f645c79546a9b8be173e945e3240b92bb422eaa15d5d1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-06-07T18:53:24Z",
    "title_canon_sha256": "8d823e9d51b5a90dd77a270448496df100e14fbf4ffacd1e247c2b0ad7a20bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02857",
    "kind": "arxiv",
    "version": 1
  }
}