Pith Number

pith:2T7XAXQA

pith:2014:2T7XAXQADFCGNIR4ZC6QHNKUQF

not attested not anchored not stored refs pending

How Many Beamforming Vectors Generate the Same Beampattern?

Aboulnasr Hassanien, Arash Khabbazibasmenj, Sergiy A. Vorobyov

arxiv:1402.1682 v1 · 2014-02-07 · 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{2T7XAXQADFCGNIR4ZC6QHNKUQF}

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	2026-05-18T01:19:44.885567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ff705e00194466a23cc8bd03b5548156f39ca00621ce6ea96be5ec37ba5a7b

Aliases

arxiv: 1402.1682 · arxiv_version: 1402.1682v1 · doi: 10.48550/arxiv.1402.1682 · pith_short_12: 2T7XAXQADFCG · pith_short_16: 2T7XAXQADFCGNIR4 · pith_short_8: 2T7XAXQA

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/2T7XAXQADFCGNIR4ZC6QHNKUQF \
  | 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: d4ff705e00194466a23cc8bd03b5548156f39ca00621ce6ea96be5ec37ba5a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ade34247824e6c59161a614e39a694635c3ba80daa8ecb8d5d36ee638eba15",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-02-07T16:24:53Z",
    "title_canon_sha256": "e969d80fa9e32251cac7209cd977783097d994679589d415c8e6458dcf23a552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1682",
    "kind": "arxiv",
    "version": 1
  }
}