Pith Number

pith:32H4QX3Y

pith:2015:32H4QX3YOD5EQRLKKJAR2VN332

not attested not anchored not stored refs pending

Energy Efficiency in MIMO Underlay and Overlay Device-to-Device Communications and Cognitive Radio Systems

Alessio Zappone, Bho Matthiesen, Eduard A. Jorswieck

arxiv:1509.08309 v2 · 2015-09-28 · 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{32H4QX3YOD5EQRLKKJAR2VN332}

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	2026-05-18T00:54:41.344523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8fc85f7870fa48456a52411d55bbde82995a367dd3876503773ddee88881f5

Aliases

arxiv: 1509.08309 · arxiv_version: 1509.08309v2 · doi: 10.48550/arxiv.1509.08309 · pith_short_12: 32H4QX3YOD5E · pith_short_16: 32H4QX3YOD5EQRLK · pith_short_8: 32H4QX3Y

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/32H4QX3YOD5EQRLKKJAR2VN332 \
  | 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: de8fc85f7870fa48456a52411d55bbde82995a367dd3876503773ddee88881f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ecbf530b1d87cb3497e2af6340ae0872fa1841e05ea5ed7c6630ffeed2a8230",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-28T13:32:34Z",
    "title_canon_sha256": "b5581b3b42df735ba350b373f2374a693d3e4db0a7025461742fd1c3a0f69711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08309",
    "kind": "arxiv",
    "version": 2
  }
}