Pith Number

pith:OJEEGO22

pith:2016:OJEEGO22VYB2RY2L2WX5DQYWEJ

not attested not anchored not stored refs pending

MSE-based Precoding for MIMO Downlinks in Heterogeneous Networks

Wu-Sheng Lu, Xiaodai Dong, Yongyu Dai

arxiv:1608.03640 v1 · 2016-08-11 · 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{OJEEGO22VYB2RY2L2WX5DQYWEJ}

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	2026-05-18T01:09:12.278290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7248433b5aae03a8e34bd5afd1c31622713aac8ffc888dad966b9e139bda893a

Aliases

arxiv: 1608.03640 · arxiv_version: 1608.03640v1 · doi: 10.48550/arxiv.1608.03640 · pith_short_12: OJEEGO22VYB2 · pith_short_16: OJEEGO22VYB2RY2L · pith_short_8: OJEEGO22

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/OJEEGO22VYB2RY2L2WX5DQYWEJ \
  | 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: 7248433b5aae03a8e34bd5afd1c31622713aac8ffc888dad966b9e139bda893a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53adb1bceaf1bfb65cb8e36b08c7c6a44907bd948bf713a666696d9cb4935d0e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-11T23:52:10Z",
    "title_canon_sha256": "3d34814ab455756956f2f39f1ebf18a476d14ee7fd0096addb9b58ea8fc56923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03640",
    "kind": "arxiv",
    "version": 1
  }
}