Pith Number

pith:WSMZQURM

pith:2015:WSMZQURMM3XLEIKCVJAEL2Z4ZZ

not attested not anchored not stored refs pending

Device-to-Device Millimeter Wave Communications: Interference, Coverage, Rate, and Finite Topologies

Kiran Venugopal, Matthew C. Valenti, Robert W. Heath Jr

arxiv:1506.07158 v2 · 2015-06-23 · 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{WSMZQURMM3XLEIKCVJAEL2Z4ZZ}

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	2026-05-18T00:58:35.423743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b49998522c66eeb22142aa4045eb3cce6b5acb26659375a5981440b94a0cefb4

Aliases

arxiv: 1506.07158 · arxiv_version: 1506.07158v2 · doi: 10.48550/arxiv.1506.07158 · pith_short_12: WSMZQURMM3XL · pith_short_16: WSMZQURMM3XLEIKC · pith_short_8: WSMZQURM

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/WSMZQURMM3XLEIKCVJAEL2Z4ZZ \
  | 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: b49998522c66eeb22142aa4045eb3cce6b5acb26659375a5981440b94a0cefb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661e6ff610528e1faa5d74049d1630b54bad56e7a8b562741f44a353a37ef4b7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-23T19:50:25Z",
    "title_canon_sha256": "47c2c354a5cb934955768886ed3e9ecce8cda57e3d65a411918ae6bbb801ec58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07158",
    "kind": "arxiv",
    "version": 2
  }
}