Pith Number

pith:WBUMZFPB

pith:2015:WBUMZFPBTXE7NXPRQW6EXI2PKL

not attested not anchored not stored refs pending

Large System Analysis of Cognitive Radio Network via Partially-Projected Regularized Zero-Forcing Precoding

Chao-Kai Wen, Chau Yuen, Jun Zhang, Shi Jin, Xiqi Gao

arxiv:1505.04532 v1 · 2015-05-18 · 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{WBUMZFPBTXE7NXPRQW6EXI2PKL}

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	2026-05-18T00:59:01.868651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b068cc95e19dc9f6ddf185bc4ba34f52f364e28cd6f2383e514283da9de084ce

Aliases

arxiv: 1505.04532 · arxiv_version: 1505.04532v1 · doi: 10.48550/arxiv.1505.04532 · pith_short_12: WBUMZFPBTXE7 · pith_short_16: WBUMZFPBTXE7NXPR · pith_short_8: WBUMZFPB

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/WBUMZFPBTXE7NXPRQW6EXI2PKL \
  | 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: b068cc95e19dc9f6ddf185bc4ba34f52f364e28cd6f2383e514283da9de084ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ea6184139e85c2af0e3534455086292af5be400f6cf1b19c97f6b8fda29499",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-18T07:16:55Z",
    "title_canon_sha256": "6cfd036542ebb6e175f8923ccd1729b38f6bc75510aa80c5afda79627f450fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04532",
    "kind": "arxiv",
    "version": 1
  }
}