Pith Number

pith:6VZVEUVT

pith:2015:6VZVEUVTYM4CJHVIHDNTAGTERR

not attested not anchored not stored refs pending

Propagation Path Loss Models for 5G Urban Micro- and Macro-Cellular Scenarios

Amitava Ghosh, Andrzej Partyka, Ignacio Rodriguez, Istvan Z. Kovacs, Jan Jarvelainen, Ozge Koymen, Shu Sun, Sundeep Rangan, Theodore S. Rappaport, Timothy A. Thomas

arxiv:1511.07311 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{6VZVEUVTYM4CJHVIHDNTAGTERR}

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	2026-05-18T00:58:09.989179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5735252b3c338249ea838db301a648c41912cca533974b6b736604378ce5150

Aliases

arxiv: 1511.07311 · arxiv_version: 1511.07311v3 · doi: 10.48550/arxiv.1511.07311 · pith_short_12: 6VZVEUVTYM4C · pith_short_16: 6VZVEUVTYM4CJHVI · pith_short_8: 6VZVEUVT

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/6VZVEUVTYM4CJHVIHDNTAGTERR \
  | 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: f5735252b3c338249ea838db301a648c41912cca533974b6b736604378ce5150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3675a27f3c2c7a22f26e77d5d54542b0dbe8d9b1f3a9c1f3b0464c010ba89354",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-23T16:56:21Z",
    "title_canon_sha256": "f45e173cd811c9a16c17b6237f4a39f6e87c4471fca9d97af0075701879d7e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07311",
    "kind": "arxiv",
    "version": 3
  }
}