Pith Number

pith:5GVHEOOW

pith:2026:5GVHEOOWAULWP43F4TZHO4XEQL

not attested not anchored not stored refs pending

Joint Load Balancing and Transmit Power Control for Energy Efficiency Maximization in the Satellite-Cell-Free Massive MIMO Uplink

Lajos Hanzo, Le Duc Anh Vu, Lo Hai Long, Ngo Tran Anh Thu, Trinh Van Chien

arxiv:2607.21860 v1 · 2026-07-23 · 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{5GVHEOOWAULWP43F4TZHO4XEQL}

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	2026-07-27T00:20:24.797369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9aa7239d6051767f365e4f27772e482ed6c6f311f768d57fde9b1b0cc21d987

Aliases

arxiv: 2607.21860 · arxiv_version: 2607.21860v1 · doi: 10.48550/arxiv.2607.21860 · pith_short_12: 5GVHEOOWAULW · pith_short_16: 5GVHEOOWAULWP43F · pith_short_8: 5GVHEOOW

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/5GVHEOOWAULWP43F4TZHO4XEQL \
  | 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: e9aa7239d6051767f365e4f27772e482ed6c6f311f768d57fde9b1b0cc21d987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9f642deb6c025b3d9361f0825962ad61dd823e75e4b2d0e32567ca3833ac43",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-23T23:14:04Z",
    "title_canon_sha256": "7faef2a24becfeda7ab544c2271f862b20851a7040aea4bedb983068112a3a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21860",
    "kind": "arxiv",
    "version": 1
  }
}