Pith Number

pith:UN6UTE5H

pith:2021:UN6UTE5HK4LASJ34G2SEFYJCEP

not attested not anchored not stored refs pending

Beamforming Technologies for Ultra-Massive MIMO in Terahertz Communications

Boyu Ning, Chong Han, Jinhong Yuan, Rui Zhang, Shaoqian Li, Weidong Mei, Zhi Chen, Zhongbao Tian

arxiv:2107.03032 v6 · 2021-07-07 · cs.IT · eess.SP · 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{UN6UTE5HK4LASJ34G2SEFYJCEP}

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	2026-07-05T05:50:03.494011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37d4993a7571609277c36a442e12223c44268818e3cd7b390be1bf552fa0ca4

Aliases

arxiv: 2107.03032 · arxiv_version: 2107.03032v6 · doi: 10.48550/arxiv.2107.03032 · pith_short_12: UN6UTE5HK4LA · pith_short_16: UN6UTE5HK4LASJ34 · pith_short_8: UN6UTE5H

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/UN6UTE5HK4LASJ34G2SEFYJCEP \
  | 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: a37d4993a7571609277c36a442e12223c44268818e3cd7b390be1bf552fa0ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a083f97e7ce62806d8adfe331dcc8c7e02a319fdd1929bb39ccbc481287a5a",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-07-07T06:21:50Z",
    "title_canon_sha256": "42d9634cf4fc01d5597454a8e404cbac0e7f207b6afe3b5b7a27e24328a89ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03032",
    "kind": "arxiv",
    "version": 6
  }
}