Pith Number

pith:YW6X4CU6

pith:2019:YW6X4CU6DCB5VAE5DVHTJQVL7S

not attested not anchored not stored refs pending

Introducing Enumerative Sphere Shaping for Optical Communication Systems with Short Blocklengths

Abdelkerim Amari, Alex Alvarado, Chigo Okonkwo, Frans M. J. Willems, Inwoong Kim, Olga Vassilieva, Sebastiaan Goossens, Tadashi Ikeuchi, Yunus Can Gultekin

arxiv:1904.06601 v4 · 2019-04-13 · 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{YW6X4CU6DCB5VAE5DVHTJQVL7S}

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.

Cited by

1 paper in Pith

Analysis and Optimisation of Distribution Matching for the Nonlinear Fibre Channel

Receipt and verification

First computed	2026-07-05T00:07:51.491559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bd7e0a9e1883da809d1d4f34c2abfc8f2228aa0e9de0c69f37a311cf1d4878

Aliases

arxiv: 1904.06601 · arxiv_version: 1904.06601v4 · doi: 10.48550/arxiv.1904.06601 · pith_short_12: YW6X4CU6DCB5 · pith_short_16: YW6X4CU6DCB5VAE5 · pith_short_8: YW6X4CU6

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/YW6X4CU6DCB5VAE5DVHTJQVL7S \
  | 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: c5bd7e0a9e1883da809d1d4f34c2abfc8f2228aa0e9de0c69f37a311cf1d4878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c2717ed0c5971af85818903c7c85f5ac467406be76ede5a7351dc1a0443176a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-04-13T23:13:45Z",
    "title_canon_sha256": "6cabf3f44501b8415ef43b0b3d1d9a949f9a59ef527cc61716ece5886d46c4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06601",
    "kind": "arxiv",
    "version": 4
  }
}