Pith Number

pith:53OOW2IX

pith:2021:53OOW2IXAILF65IEZK7BYCXIDH

not attested not anchored not stored refs pending

Cooperative 3D Beamforming for Small-Cell and Cell-Free 6G Systems

Lajos Hanzo, Sarath Gopi, Sheetal Kalyani

arxiv:2105.07359 v2 · 2021-05-16 · eess.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53OOW2IXAILF65IEZK7BYCXIDH}

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	2026-07-05T03:31:27.150696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eedceb691702165f7504cabe1c0ae819d36c84c7f500ffbb3c15c8cd13da07f0

Aliases

arxiv: 2105.07359 · arxiv_version: 2105.07359v2 · doi: 10.48550/arxiv.2105.07359 · pith_short_12: 53OOW2IXAILF · pith_short_16: 53OOW2IXAILF65IE · pith_short_8: 53OOW2IX

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/53OOW2IXAILF65IEZK7BYCXIDH \
  | 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: eedceb691702165f7504cabe1c0ae819d36c84c7f500ffbb3c15c8cd13da07f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd17c5727055dc8ef5822c8447d860c60937e637621420857dba72b8be98af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2021-05-16T05:45:33Z",
    "title_canon_sha256": "291b38a4c64819519526e8da3f105178f02fd46ef90d3ae207b766aa65963df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.07359",
    "kind": "arxiv",
    "version": 2
  }
}