Pith Number

pith:5YQZ5JNG

pith:2016:5YQZ5JNGOP6QSUSFDVUHYKBSZJ

not attested not anchored not stored refs pending

Gains of Restricted Secondary Licensing in Millimeter Wave Cellular Systems

Abhishek K. Gupta, Ahmed Alkhateeb, Jeffrey G. Andrews, jr, Robert W. Heath

arxiv:1605.00205 v1 · 2016-05-01 · 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{5YQZ5JNGOP6QSUSFDVUHYKBSZJ}

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	2026-05-18T01:15:56.461303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee219ea5a673fd0952451d687c2832ca66265e5ac146b3212eabe45023f60d50

Aliases

arxiv: 1605.00205 · arxiv_version: 1605.00205v1 · doi: 10.48550/arxiv.1605.00205 · pith_short_12: 5YQZ5JNGOP6Q · pith_short_16: 5YQZ5JNGOP6QSUSF · pith_short_8: 5YQZ5JNG

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/5YQZ5JNGOP6QSUSFDVUHYKBSZJ \
  | 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: ee219ea5a673fd0952451d687c2832ca66265e5ac146b3212eabe45023f60d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06decdac8290bd52faf4bd8afe6fefdde0c7a1dfa089cf7f7f16728573d7941",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-01T06:16:53Z",
    "title_canon_sha256": "36f4a9c36bdc1c118e427083cac194f58875d27617f67d208ba0d00719d93ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00205",
    "kind": "arxiv",
    "version": 1
  }
}