Pith Number

pith:QNVQKVTS

pith:2018:QNVQKVTSJSR3Q3XMJQFP7ZUWDL

not attested not anchored not stored refs pending

Robust Beamforming for Downlink 3D-MIMO Systems with $l_1$-norm Bounded CSI Uncertainty

Bo Hu, Hui Feng, Kai Liu, Tao Yang

arxiv:1812.07492 v1 · 2018-11-01 · 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{QNVQKVTSJSR3Q3XMJQFP7ZUWDL}

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	2026-05-17T23:58:00.382065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836b0556724ca3b86eec4c0affe6961ac0be5951c18f11e46b126c851010bc8f

Aliases

arxiv: 1812.07492 · arxiv_version: 1812.07492v1 · doi: 10.48550/arxiv.1812.07492 · pith_short_12: QNVQKVTSJSR3 · pith_short_16: QNVQKVTSJSR3Q3XM · pith_short_8: QNVQKVTS

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/QNVQKVTSJSR3Q3XMJQFP7ZUWDL \
  | 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: 836b0556724ca3b86eec4c0affe6961ac0be5951c18f11e46b126c851010bc8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a5d490698780e961ec7748aeef66843302487f38880600ee235e1161b316e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2018-11-01T08:42:05Z",
    "title_canon_sha256": "20d165c07f385c61a4e18da90cd1211f85880df49d03e747d01971895f3e057c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07492",
    "kind": "arxiv",
    "version": 1
  }
}