Pith Number

pith:GFH7D5TL

pith:2015:GFH7D5TL4A722SWIQDNZEZM2FO

not attested not anchored not stored refs pending

Millimeter Wave MIMO with Lens Antenna Array: A New Path Division Multiplexing Paradigm

Rui Zhang, Yong Zeng

arxiv:1507.01699 v1 · 2015-07-07 · 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{GFH7D5TL4A722SWIQDNZEZM2FO}

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	2026-05-18T01:37:12.615520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314ff1f66be03fad4ac880db92659a2ba42860fb5a9dd177aae45e9bbff91755

Aliases

arxiv: 1507.01699 · arxiv_version: 1507.01699v1 · doi: 10.48550/arxiv.1507.01699 · pith_short_12: GFH7D5TL4A72 · pith_short_16: GFH7D5TL4A722SWI · pith_short_8: GFH7D5TL

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/GFH7D5TL4A722SWIQDNZEZM2FO \
  | 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: 314ff1f66be03fad4ac880db92659a2ba42860fb5a9dd177aae45e9bbff91755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8922668c2aec49a453168bd8c85e849ae1456139f330b6a20741dd93904ef0a2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-07T08:12:42Z",
    "title_canon_sha256": "6dd5735a031c52fdbd7987bf53b9d3d10c6ec24fa84f79a51fa05ef95ac05d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01699",
    "kind": "arxiv",
    "version": 1
  }
}