Pith Number

pith:RZ5VWSIA

pith:2015:RZ5VWSIA5EXTMIQH5F6KFLIM47

not attested not anchored not stored refs pending

Synthesizing Omnidirectional Antenna Patterns, Received Power and Path Loss from Directional Antennas for 5G Millimeter-Wave Communications

George R. MacCartney Jr., Mathew K. Samimi, Shu Sun, Theodore S. Rappaport

arxiv:1511.07271 v3 · 2015-11-23 · 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{RZ5VWSIA5EXTMIQH5F6KFLIM47}

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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	2026-05-18T01:25:25.953899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7b5b4900e92f362207e97ca2ad0ce7f508dd431a7f548cb97e4b39e46eb9ce

Aliases

arxiv: 1511.07271 · arxiv_version: 1511.07271v3 · doi: 10.48550/arxiv.1511.07271 · pith_short_12: RZ5VWSIA5EXT · pith_short_16: RZ5VWSIA5EXTMIQH · pith_short_8: RZ5VWSIA

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/RZ5VWSIA5EXTMIQH5F6KFLIM47 \
  | 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: 8e7b5b4900e92f362207e97ca2ad0ce7f508dd431a7f548cb97e4b39e46eb9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc441200f58a6c2f3246267cb558f68f6c7cfc0c5d3ac010889bf6fce8a9e35f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-23T15:23:24Z",
    "title_canon_sha256": "1242a2c559ebb2923de1255531a988fdf619ac28aec9d1abf9bffcf00c2524bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07271",
    "kind": "arxiv",
    "version": 3
  }
}