Pith Number

pith:YXXJGWID

pith:2017:YXXJGWIDHQ7N5BAOI5BOQ7BPYT

not attested not anchored not stored refs pending

AWGN-Goodness is Enough: Capacity-Achieving Lattice Codes based on Dithered Probabilistic Shaping

Antonio Campello, Cong Ling, Daniel Dadush

arxiv:1707.06688 v4 · 2017-07-20 · 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{YXXJGWIDHQ7N5BAOI5BOQ7BPYT}

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	2026-05-18T00:12:35.183866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ee9359033c3ede840e4742e87c2fc4eccd6247a95ba920cdc29c318d7f7a46

Aliases

arxiv: 1707.06688 · arxiv_version: 1707.06688v4 · doi: 10.48550/arxiv.1707.06688 · pith_short_12: YXXJGWIDHQ7N · pith_short_16: YXXJGWIDHQ7N5BAO · pith_short_8: YXXJGWID

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/YXXJGWIDHQ7N5BAOI5BOQ7BPYT \
  | 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: c5ee9359033c3ede840e4742e87c2fc4eccd6247a95ba920cdc29c318d7f7a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f0fc3f2d365310d02ba78d52bdd2a25460de9138107056ac1c61167612d1e6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-20T19:33:19Z",
    "title_canon_sha256": "1ae001406a8c7913a4dcf3077235cfa9f61b9e5c96b1b58db983d0c0955aabf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06688",
    "kind": "arxiv",
    "version": 4
  }
}