Pith Number

pith:QDPO2HLH

pith:2016:QDPO2HLHVFT7ETR5TQLZIEHUBM

not attested not anchored not stored refs pending

Hybrid Digital and Analog Beamforming Design for Large-Scale Antenna Arrays

Foad Sohrabi, Wei Yu

arxiv:1601.06814 v1 · 2016-01-25 · 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{QDPO2HLHVFT7ETR5TQLZIEHUBM}

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	2026-05-18T01:15:42.796756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80deed1d67a967f24e3d9c179410f40b234072b510275abd5ced5eb6a91b77c9

Aliases

arxiv: 1601.06814 · arxiv_version: 1601.06814v1 · doi: 10.48550/arxiv.1601.06814 · pith_short_12: QDPO2HLHVFT7 · pith_short_16: QDPO2HLHVFT7ETR5 · pith_short_8: QDPO2HLH

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/QDPO2HLHVFT7ETR5TQLZIEHUBM \
  | 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: 80deed1d67a967f24e3d9c179410f40b234072b510275abd5ced5eb6a91b77c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb1d4c9cc75ebf274416b5c92d372d08411c71678cee5c33b4b6501d7375800",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-25T21:28:56Z",
    "title_canon_sha256": "be5eafd56525159dfc647bf514a5fca888ca86a953312bee33f1f2e7ccb6b673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06814",
    "kind": "arxiv",
    "version": 1
  }
}