Pith Number

pith:JPKIQQ4K

pith:2016:JPKIQQ4KCUFSF6CZOVM5M455TJ

not attested not anchored not stored refs pending

Common Codebook Millimeter Wave Beam Design: Designing Beams for Both Sounding and Communication with Uniform Planar Arrays

David J. Love, Jiho Song, Junil Choi

arxiv:1606.05634 v4 · 2016-06-17 · 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{JPKIQQ4KCUFSF6CZOVM5M455TJ}

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	2026-05-18T00:51:30.307900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972

Aliases

arxiv: 1606.05634 · arxiv_version: 1606.05634v4 · doi: 10.48550/arxiv.1606.05634 · pith_short_12: JPKIQQ4KCUFS · pith_short_16: JPKIQQ4KCUFSF6CZ · pith_short_8: JPKIQQ4K

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/JPKIQQ4KCUFSF6CZOVM5M455TJ \
  | 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: 4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee69947d7a86bd0281c0af7a60fe6562b07506d57aa09f7b5890c186c6f285e5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-17T19:45:09Z",
    "title_canon_sha256": "0d59296219d540bc2dddcec8dc00ef11ae4df735acb93211c1cf529234f6293b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05634",
    "kind": "arxiv",
    "version": 4
  }
}