Pith Number

pith:UT447QDE

pith:2019:UT447QDEJZ5DF63GFP7TEDBOLA

not attested not anchored not stored refs pending

On Product Codes with Probabilistic Amplitude Shaping for High-Throughput Fiber-Optic Systems

Alex Alvarado, Alexandre Graell i Amat, Alireza Sheikh

arxiv:1908.04205 v4 · 2019-08-09 · 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{UT447QDEJZ5DF63GFP7TEDBOLA}

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	2026-07-05T01:27:01.125001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f9cfc0644e7a32fb662bff320c2e5829ab042805363504927cf32587a2fdd7

Aliases

arxiv: 1908.04205 · arxiv_version: 1908.04205v4 · doi: 10.48550/arxiv.1908.04205 · pith_short_12: UT447QDEJZ5D · pith_short_16: UT447QDEJZ5DF63G · pith_short_8: UT447QDE

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/UT447QDEJZ5DF63GFP7TEDBOLA \
  | 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: a4f9cfc0644e7a32fb662bff320c2e5829ab042805363504927cf32587a2fdd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9b3b1a5dd45a95e84ca05249732b6028210ce20127ea7a00433f80f34f7273",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-08-09T14:18:22Z",
    "title_canon_sha256": "e9e5c183c393f7ec32825c6c033f942527bf3b629a13fd898e1575401779af16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04205",
    "kind": "arxiv",
    "version": 4
  }
}