Pith Number

pith:H2PTIL3J

pith:2025:H2PTIL3JXJEPKUQY3EIWDHZENW

not attested not anchored not stored refs pending

Joint Power Control and Precoding for Cell-Free Massive MIMO Systems With Sparse Multi-Dimensional Graph Neural Networks

Bo Ai, Guowei Shi, Jiayi Zhang, Yukun Ma, Ziheng Liu

arxiv:2507.01876 v1 · 2025-07-02 · 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{H2PTIL3JXJEPKUQY3EIWDHZENW}

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	2026-07-05T11:30:57.380457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9f342f69ba48f55218d911619f246d84a45707a62367694a57c5adaac6deee

Aliases

arxiv: 2507.01876 · arxiv_version: 2507.01876v1 · doi: 10.48550/arxiv.2507.01876 · pith_short_12: H2PTIL3JXJEP · pith_short_16: H2PTIL3JXJEPKUQY · pith_short_8: H2PTIL3J

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/H2PTIL3JXJEPKUQY3EIWDHZENW \
  | 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: 3e9f342f69ba48f55218d911619f246d84a45707a62367694a57c5adaac6deee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461f6bdae9948a4fe98897b92f9e3ba194ac915698670e79fe099ad9d9dcd90f",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-07-02T16:41:35Z",
    "title_canon_sha256": "d9a7352dd4ed8ba9fddbb38632877eadd01579447c453433e750d296fe60aeb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01876",
    "kind": "arxiv",
    "version": 1
  }
}