Pith Number

pith:RJN3ZCRW

pith:2015:RJN3ZCRW3XQHS36J6Y6YANWMFS

not attested not anchored not stored refs pending

A Comparison of MIMO Techniques in Downlink Millimeter Wave Cellular Networks with Hybrid Beamforming

Amitava Ghosh, Jeffrey G. Andrews, Mandar N. Kulkarni

arxiv:1510.02845 v2 · 2015-10-09 · 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{RJN3ZCRW3XQHS36J6Y6YANWMFS}

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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	2026-05-18T00:58:57.657278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5bbc8a36dde0796fc9f63d8036cc2c8d47e023dd250b76dbfea442d05c868a

Aliases

arxiv: 1510.02845 · arxiv_version: 1510.02845v2 · doi: 10.48550/arxiv.1510.02845 · pith_short_12: RJN3ZCRW3XQH · pith_short_16: RJN3ZCRW3XQHS36J · pith_short_8: RJN3ZCRW

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/RJN3ZCRW3XQHS36J6Y6YANWMFS \
  | 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: 8a5bbc8a36dde0796fc9f63d8036cc2c8d47e023dd250b76dbfea442d05c868a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "863ccb5d8f8a379e7f3dcfb4480c468a410d54fbbb45442099cde547b84b1896",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-09T23:04:34Z",
    "title_canon_sha256": "e203144c000c52d7f70a7e3183809d74a55794b8cbe0913e7a4e14cd0069aad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02845",
    "kind": "arxiv",
    "version": 2
  }
}