Pith Number

pith:6PUVRQLR

pith:2016:6PUVRQLR3IPBIBLF663PW6BARI

not attested not anchored not stored refs pending

Random Beamforming in Millimeter-Wave NOMA Networks

H. V. Poor, P. Fan, Z. Ding

arxiv:1607.06302 v3 · 2016-07-21 · 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{6PUVRQLR3IPBIBLF663PW6BARI}

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	2026-05-18T00:48:37.212269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e958c171da1e140565f7b6fb78208a055861f35e39ee27850ab29a66b9b7a4

Aliases

arxiv: 1607.06302 · arxiv_version: 1607.06302v3 · doi: 10.48550/arxiv.1607.06302 · pith_short_12: 6PUVRQLR3IPB · pith_short_16: 6PUVRQLR3IPBIBLF · pith_short_8: 6PUVRQLR

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/6PUVRQLR3IPBIBLF663PW6BARI \
  | 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: f3e958c171da1e140565f7b6fb78208a055861f35e39ee27850ab29a66b9b7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6412fc7d16c091937afa968a3de31fa88bec94999e97fe47d2bc85f4d1fefe30",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-21T12:56:40Z",
    "title_canon_sha256": "30f4eaecec165eabeac69bcdd17f6eef3849f03aaaab4dcf382ceccf366bf2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06302",
    "kind": "arxiv",
    "version": 3
  }
}