Pith Number

pith:IVZUBW7X

pith:2023:IVZUBW7X6DCPPD5A6ZKCMSNNGF

not attested not anchored not stored refs pending

Probabilistic Shaping for the AWGN Channel

S\'ebastien Delsad

arxiv:2302.08388 v1 · 2023-02-16 · 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{IVZUBW7X6DCPPD5A6ZKCMSNNGF}

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

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling

Receipt and verification

First computed	2026-07-05T05:42:37.545201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457340dbf7f0c4f78fa0f6542649ad316728da0e2bdd2a1724afaa027a5b8a00

Aliases

arxiv: 2302.08388 · arxiv_version: 2302.08388v1 · doi: 10.48550/arxiv.2302.08388 · pith_short_12: IVZUBW7X6DCP · pith_short_16: IVZUBW7X6DCPPD5A · pith_short_8: IVZUBW7X

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/IVZUBW7X6DCPPD5A6ZKCMSNNGF \
  | 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: 457340dbf7f0c4f78fa0f6542649ad316728da0e2bdd2a1724afaa027a5b8a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d9e4d0280af47ee0c168c9046d1a236f919c8514e55de9b17244cfd6f0eb2b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-02-16T16:07:27Z",
    "title_canon_sha256": "e4c6aef986cec933bd14578767c562dbe0d224d0878e7f93c27cf7c434198b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08388",
    "kind": "arxiv",
    "version": 1
  }
}