Pith Number

pith:GRVPETA5

pith:2016:GRVPETA5J7J6HILUAZME3XTJTY

not attested not anchored not stored refs pending

Effect of Wideband Beam Squint on Codebook Design in Phased-Array Wireless Systems

Bertrand Hochwald, Ding Nie, Huang Huang, J. Nicholas Laneman, Kang Gao, Kunpeng Liu, Mingming Cai

arxiv:1609.03160 v2 · 2016-09-11 · 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{GRVPETA5J7J6HILUAZME3XTJTY}

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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	2026-05-18T01:04:05.313452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346af24c1d4fd3e3a17406584dde699e0ff9793bb20f6123dfd1b58f7cb410a5

Aliases

arxiv: 1609.03160 · arxiv_version: 1609.03160v2 · doi: 10.48550/arxiv.1609.03160 · pith_short_12: GRVPETA5J7J6 · pith_short_16: GRVPETA5J7J6HILU · pith_short_8: GRVPETA5

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/GRVPETA5J7J6HILUAZME3XTJTY \
  | 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: 346af24c1d4fd3e3a17406584dde699e0ff9793bb20f6123dfd1b58f7cb410a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21ac93880251c39d6e31a613a120bd1a1d158706dd208cd84a22c5f68df51b6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-11T13:32:26Z",
    "title_canon_sha256": "7fcd4e1b99449857db60d64399c0ef09fa4ec2aacf1b1654a995ec44781b13ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03160",
    "kind": "arxiv",
    "version": 2
  }
}