Pith Number

pith:AZECDTJU

pith:2025:AZECDTJUAQ2ODP44NLHSCBN2HA

not attested not anchored not stored refs pending

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

Laurent Schmalen, Shrinivas Chimmalgi, Vahid Aref

arxiv:2506.16098 v1 · 2025-06-19 · cs.IT · eess.SP · 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{AZECDTJUAQ2ODP44NLHSCBN2HA}

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	2026-07-05T11:24:30.479263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064821cd340434e1bf9c6acf2105ba38316bb3d628d6e0d5f8e2fb1f2f839d83

Aliases

arxiv: 2506.16098 · arxiv_version: 2506.16098v1 · doi: 10.48550/arxiv.2506.16098 · pith_short_12: AZECDTJUAQ2O · pith_short_16: AZECDTJUAQ2ODP44 · pith_short_8: AZECDTJU

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/AZECDTJUAQ2ODP44NLHSCBN2HA \
  | 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: 064821cd340434e1bf9c6acf2105ba38316bb3d628d6e0d5f8e2fb1f2f839d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3039ec9557ee859c7d26b4fdf436df5a10923b97b1ece995961620d956db7e6b",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-06-19T07:35:48Z",
    "title_canon_sha256": "fa1edc079aad4ccbbd954073c8480ceed977cb7a31a5c64aa3b74f0fc0bcd6e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16098",
    "kind": "arxiv",
    "version": 1
  }
}