Pith Number

pith:WXWZXVRO

pith:2016:WXWZXVROV3GY5XLNBSZLLMN5AM

not attested not anchored not stored refs pending

Cost-Effective Millimeter Wave Communications with Lens Antenna Array

Rui Zhang, Yong Zeng

arxiv:1610.02511 v1 · 2016-10-08 · 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{WXWZXVROV3GY5XLNBSZLLMN5AM}

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	2026-05-18T01:02:51.334615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ed9bd62eaecd8edd6d0cb2b5b1bd031891c6b6845cbce497136ec064108256

Aliases

arxiv: 1610.02511 · arxiv_version: 1610.02511v1 · doi: 10.48550/arxiv.1610.02511 · pith_short_12: WXWZXVROV3GY · pith_short_16: WXWZXVROV3GY5XLN · pith_short_8: WXWZXVRO

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/WXWZXVROV3GY5XLNBSZLLMN5AM \
  | 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: b5ed9bd62eaecd8edd6d0cb2b5b1bd031891c6b6845cbce497136ec064108256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382445b12470cb6188e2765109f85be4713dc175e046f68805e4825590ab74b5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-08T10:55:19Z",
    "title_canon_sha256": "bb70c3940938056fcd139abc3a970051f2d1034e4b6b7eb5b800e9eb6ca1be45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02511",
    "kind": "arxiv",
    "version": 1
  }
}