Pith Number

pith:3TRENYO2

pith:2026:3TRENYO22I2WUBQGVXMUFTVBT2

not attested not anchored not stored refs pending

Low-Complexity Hybrid Precoding for Cell-Free Massive MU-MIMO ISAC Systems

Aimin Tang, Dazhi He, Jun Zhu, Ruomeng Wang, Wenjun Zhang, Yin Xu, Yunfeng Guan

arxiv:2606.23709 v1 · 2026-06-15 · 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{3TRENYO22I2WUBQGVXMUFTVBT2}

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	2026-06-24T00:14:23.965276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce246e1dad2356a0606add942cea19e9b3cdce1ec2e4b0500fee91eef62b486

Aliases

arxiv: 2606.23709 · arxiv_version: 2606.23709v1 · doi: 10.48550/arxiv.2606.23709 · pith_short_12: 3TRENYO22I2W · pith_short_16: 3TRENYO22I2WUBQG · pith_short_8: 3TRENYO2

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/3TRENYO22I2WUBQGVXMUFTVBT2 \
  | 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: dce246e1dad2356a0606add942cea19e9b3cdce1ec2e4b0500fee91eef62b486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e09a5a6dbbbe1b8c68fc27c9fde9e7cf73dde7d3106caf65e312e6c98df624",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-15T03:42:16Z",
    "title_canon_sha256": "51c08478b97de6cb280ee30c5691b84fd92abeba9d0222ae3be0077fc92c6903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23709",
    "kind": "arxiv",
    "version": 1
  }
}