Pith Number

pith:CXJ7RXQA

pith:2015:CXJ7RXQAEFYJ3ZDEWP6CA2R63V

not attested not anchored not stored refs pending

Millimeter-Wave Distance-Dependent Large-Scale Propagation Measurements and Path Loss Models for Outdoor and Indoor 5G Systems

George R. MacCartney Jr., Shu Sun, Theodore S. Rappaport

arxiv:1511.07345 v4 · 2015-11-23 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXJ7RXQAEFYJ3ZDEWP6CA2R63V}

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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	2026-05-18T01:20:06.347793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d3f8de0021709de464b3fc206a3edd7ac8bffc4e21200d180f4da5b7b8dd57

Aliases

arxiv: 1511.07345 · arxiv_version: 1511.07345v4 · doi: 10.48550/arxiv.1511.07345 · pith_short_12: CXJ7RXQAEFYJ · pith_short_16: CXJ7RXQAEFYJ3ZDE · pith_short_8: CXJ7RXQA

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/CXJ7RXQAEFYJ3ZDEWP6CA2R63V \
  | 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: 15d3f8de0021709de464b3fc206a3edd7ac8bffc4e21200d180f4da5b7b8dd57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d179b62dad332a3a82aacd94dd5aea4a05ae00c070c546fc8e942cbe2464875b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-23T18:14:07Z",
    "title_canon_sha256": "f37ae4cb7296374fda3e0afdd8aed9c89dd6af3688371b75fe53245430de823c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07345",
    "kind": "arxiv",
    "version": 4
  }
}