Pith Number

pith:YX7X7DZH

pith:2021:YX7X7DZHZJNENTJBMGL7PUPP6U

not attested not anchored not stored refs pending

Polar-Precoding: A Unitary Finite-Feedback Transmit Precoder for Polar-Coded MIMO Systems

Jincheng Dai, Jinnan Piao, Kai Niu, Lajos Hanzo

arxiv:2104.05178 v2 · 2021-04-12 · 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{YX7X7DZHZJNENTJBMGL7PUPP6U}

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	2026-07-05T03:13:49.481325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ff7f8f27ca5a46cd216197f7d1eff52c404ce7fccef14fe1f27f2e2f899720

Aliases

arxiv: 2104.05178 · arxiv_version: 2104.05178v2 · doi: 10.48550/arxiv.2104.05178 · pith_short_12: YX7X7DZHZJNE · pith_short_16: YX7X7DZHZJNENTJB · pith_short_8: YX7X7DZH

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/YX7X7DZHZJNENTJBMGL7PUPP6U \
  | 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: c5ff7f8f27ca5a46cd216197f7d1eff52c404ce7fccef14fe1f27f2e2f899720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612c2010106d7849ee70accba8f1a3fd10ccef1eb8ecca18c77d80562df100c0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-04-12T03:18:04Z",
    "title_canon_sha256": "e1a84697dbfdee68855fa3aaca8162075decbcb69450a14bbf4097659767da28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05178",
    "kind": "arxiv",
    "version": 2
  }
}