Pith Number

pith:YA52IMIE

pith:2017:YA52IMIE6NUVLLB7666P3UOAS5

not attested not anchored not stored refs pending

A Simple Nonlinearity-Tailored Probabilistic Shaping Distribution for Square QAM

Alex Alvarado, Daniel Semrau, Domani\c{c} Lavery, Eric Sillekens, Gabriele Liga, Nikita A. Shevchenko, Polina Bayvel, Robert. I. Killey, Zhe Li

arxiv:1710.04134 v2 · 2017-10-11 · 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{YA52IMIE6NUVLLB7666P3UOAS5}

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	2026-05-18T00:01:38.923809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03ba43104f36955ac3ff7bcfdd1c0976feb1722bb69636db159a866d1c46a9f

Aliases

arxiv: 1710.04134 · arxiv_version: 1710.04134v2 · doi: 10.48550/arxiv.1710.04134 · pith_short_12: YA52IMIE6NUV · pith_short_16: YA52IMIE6NUVLLB7 · pith_short_8: YA52IMIE

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/YA52IMIE6NUVLLB7666P3UOAS5 \
  | 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: c03ba43104f36955ac3ff7bcfdd1c0976feb1722bb69636db159a866d1c46a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbcaa7f1f38fb62612344db67027b415a66e3fd4356513fd29416d6540d153b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-10-11T15:42:46Z",
    "title_canon_sha256": "1a6339ce3a2d991104c9612afcd749ae19c833459eac030104951c53105ca3e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04134",
    "kind": "arxiv",
    "version": 2
  }
}