Pith Number

pith:KKWGNRVR

pith:2015:KKWGNRVRQCEIBOXVKWYP5HZDRO

not attested not anchored not stored refs pending

Multicast Multigroup Beamforming for Per-antenna Power Constrained Large-scale Arrays

Bjorn Ottersten, Dimitrios Christopoulos, Symeon Chatzinotas

arxiv:1503.06966 v1 · 2015-03-24 · 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{KKWGNRVRQCEIBOXVKWYP5HZDRO}

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	2026-05-18T00:57:50.882030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ac66c6b1808880baf555b0fe9f238bb576995178f1251dd0ec2110ca19025d

Aliases

arxiv: 1503.06966 · arxiv_version: 1503.06966v1 · doi: 10.48550/arxiv.1503.06966 · pith_short_12: KKWGNRVRQCEI · pith_short_16: KKWGNRVRQCEIBOXV · pith_short_8: KKWGNRVR

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/KKWGNRVRQCEIBOXVKWYP5HZDRO \
  | 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: 52ac66c6b1808880baf555b0fe9f238bb576995178f1251dd0ec2110ca19025d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18f8bf3768d346947216fe066ac0eb40c213e527c88d973c480a588e82d6b38",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-24T09:49:52Z",
    "title_canon_sha256": "1c31fc02023b78e50a5510d405be7afdd7ed91a9fc1a296ffef92f53b32f5d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06966",
    "kind": "arxiv",
    "version": 1
  }
}