Pith Number

pith:QLY3G4LK

pith:2016:QLY3G4LKSDI6WTN7CGNBGO4WBE

not attested not anchored not stored refs pending

Well-Rounded Lattices for Coset Coding in MIMO Wiretap Channels

Alex Karrila, Amaro Barreal, Camilla Hollanti, David A. Karpuk, Ha Thanh Nguyen Tran, Oliver W. Gnilke

arxiv:1609.07666 v1 · 2016-09-24 · 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{QLY3G4LKSDI6WTN7CGNBGO4WBE}

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	2026-05-18T01:03:55.782882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f1b3716a90d1eb4dbf119a133b960926b90eec1b8cc5f801f67a876aef581a

Aliases

arxiv: 1609.07666 · arxiv_version: 1609.07666v1 · doi: 10.48550/arxiv.1609.07666 · pith_short_12: QLY3G4LKSDI6 · pith_short_16: QLY3G4LKSDI6WTN7 · pith_short_8: QLY3G4LK

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/QLY3G4LKSDI6WTN7CGNBGO4WBE \
  | 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: 82f1b3716a90d1eb4dbf119a133b960926b90eec1b8cc5f801f67a876aef581a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0de077c3b407571343b13b33515290452ac14c474990ebcc00c8ec19ff91ae11",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-24T20:03:06Z",
    "title_canon_sha256": "378bf868c8da813d90594a2d48db91828b23de77750d76270f2844683b8a8176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07666",
    "kind": "arxiv",
    "version": 1
  }
}