Pith Number

pith:QPZPN6L3

pith:2025:QPZPN6L3XLSGHP2GTMR4JBOD6M

not attested not anchored not stored refs pending

Joint Access Point Activation and Power Allocation for Cell-Free Massive MIMO Aided ISAC Systems

Hoang Trong Minh, Lajos Hanzo, Le Tung Giang, Nguyen Xuan Tung, Trinh Van Chien

arxiv:2507.09425 v1 · 2025-07-12 · 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{QPZPN6L3XLSGHP2GTMR4JBOD6M}

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	2026-07-05T11:36:08.812816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f2f6f97bbae463bf469b23c485c3f339d8f348609ebf3d6859afa0cf8703aa

Aliases

arxiv: 2507.09425 · arxiv_version: 2507.09425v1 · doi: 10.48550/arxiv.2507.09425 · pith_short_12: QPZPN6L3XLSG · pith_short_16: QPZPN6L3XLSGHP2G · pith_short_8: QPZPN6L3

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/QPZPN6L3XLSGHP2GTMR4JBOD6M \
  | 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: 83f2f6f97bbae463bf469b23c485c3f339d8f348609ebf3d6859afa0cf8703aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b065b1d3992c2193be7a2ece0164564498c4b7ad94c5291e4af875bbec1cccdb",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-07-12T23:30:18Z",
    "title_canon_sha256": "e1655d35ca80d3490b24989d1c26f11e4fe3b8256b41cd66451d72119d9aaedb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09425",
    "kind": "arxiv",
    "version": 1
  }
}