Pith Number

pith:VIZ3IQ3I

pith:2016:VIZ3IQ3IZM3PG3HCZT4K44JWFH

not attested not anchored not stored refs pending

Millimeter Wave Beam Alignment: Large Deviations Analysis and Design Insights

Chunshan Liu, Iain B. Collings, Min Li, Philip Whiting, Stephen V. Hanly

arxiv:1611.04212 v2 · 2016-11-14 · 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{VIZ3IQ3IZM3PG3HCZT4K44JWFH}

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	2026-05-18T00:44:13.560476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa33b44368cb36f36ce2ccf8ae713629f1fc765e330a686958112a403912bb49

Aliases

arxiv: 1611.04212 · arxiv_version: 1611.04212v2 · doi: 10.48550/arxiv.1611.04212 · pith_short_12: VIZ3IQ3IZM3P · pith_short_16: VIZ3IQ3IZM3PG3HC · pith_short_8: VIZ3IQ3I

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/VIZ3IQ3IZM3PG3HCZT4K44JWFH \
  | 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: aa33b44368cb36f36ce2ccf8ae713629f1fc765e330a686958112a403912bb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c192951e55efd61600bc22471220efbdc2e885015afaec13a2bc9f2fdbaa04e7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-14T00:00:21Z",
    "title_canon_sha256": "7af4776c560e4e5fde6501f3363b219a6d2e9e30801d4a1a7c027e5f482d2abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04212",
    "kind": "arxiv",
    "version": 2
  }
}