Pith Number

pith:DUG2ZDC2

pith:2016:DUG2ZDC2NNHNZGQLEPUNEOXWLO

not attested not anchored not stored refs pending

Improving the Coverage and Spectral Efficiency of Millimeter-Wave Cellular Networks using Device-to-Device Relays

Lingjia Liu, Nicholas Mastronarde, Rachad Atat, Shuanshuan Wu

arxiv:1611.06164 v2 · 2016-11-18 · cs.ET

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUG2ZDC2NNHNZGQLEPUNEOXWLO}

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	2026-05-18T00:26:57.697757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0dac8c5a6b4edc9a0b23e8d23af65b992d7136252bef04ec6e21e4c2329536

Aliases

arxiv: 1611.06164 · arxiv_version: 1611.06164v2 · doi: 10.48550/arxiv.1611.06164 · pith_short_12: DUG2ZDC2NNHN · pith_short_16: DUG2ZDC2NNHNZGQL · pith_short_8: DUG2ZDC2

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/DUG2ZDC2NNHNZGQLEPUNEOXWLO \
  | 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: 1d0dac8c5a6b4edc9a0b23e8d23af65b992d7136252bef04ec6e21e4c2329536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c5e48ed47e736379e0a01512c520cd181d32497ea4345dd31950921235310d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.ET",
    "submitted_at": "2016-11-18T17:19:39Z",
    "title_canon_sha256": "bb406a29a37b08a52691c73e8941de2189a63e44990ecae4d54a0c5b0d11ca24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06164",
    "kind": "arxiv",
    "version": 2
  }
}