Pith Number

pith:GMZR3TMX

pith:2026:GMZR3TMXWTWL7TU3L7DVKSA24J

not attested not anchored not stored refs pending

On the Rate Region of I.I.D. Discrete Signaling and Treating Interference as Noise for the Gaussian Broadcast Channel

Min Qiu, Yujie Shao

Superposition of i.i.d. discrete PAM inputs with TIN decoding reaches within a constant gap of Gaussian broadcast capacity

arxiv:2604.04092 v2 · 2026-04-05 · cs.IT · eess.SP · math.IT

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\usepackage{pith}
\pithnumber{GMZR3TMXWTWL7TU3L7DVKSA24J}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

we prove that the resulting achievable rate region under TIN decoding is within a constant gap to the capacity region of the GBC, where the gap is independent of all channel parameters.

C2weakest assumption

The proof relies on the specific choice of i.i.d. discrete inputs drawn from PAM constellations and the superposition structure; if the gap bound derivation requires additional unstated restrictions on constellation size or power allocation, the constant-gap claim would not hold for arbitrary discrete alphabets.

C3one line summary

Superposition coding with i.i.d. discrete PAM inputs under TIN decoding achieves a constant-gap achievable rate region to the GBC capacity.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:50.151388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33331dcd97b4ecbfce9b5fc755481ae246cb7b473ad37398822462015bfa8e2d

Aliases

arxiv: 2604.04092 · arxiv_version: 2604.04092v2 · doi: 10.48550/arxiv.2604.04092 · pith_short_12: GMZR3TMXWTWL · pith_short_16: GMZR3TMXWTWL7TU3 · pith_short_8: GMZR3TMX

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/GMZR3TMXWTWL7TU3L7DVKSA24J \
  | 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: 33331dcd97b4ecbfce9b5fc755481ae246cb7b473ad37398822462015bfa8e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d805542713ca6381fcd3f9d12d4a991c6c79f3540b0989cc9daff27d35b61e",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-04-05T12:15:57Z",
    "title_canon_sha256": "bca4d60c00fa6e859926903c28ed495fdef9d0b3a23ba85fd912ea60827d772d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.04092",
    "kind": "arxiv",
    "version": 2
  }
}