Pith Number

pith:FCFCYXNE

pith:2025:FCFCYXNE4DOYRQKSOEDWFGGSMA

not attested not anchored not stored refs pending

Cutoff Rate Bounds and Constellation Shaping under Mixed Gaussian-Impulsive Noise

Jun Wang, Tianfu Qi

arxiv:2509.03333 v2 · 2025-09-03 · eess.SP · 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{FCFCYXNE4DOYRQKSOEDWFGGSMA}

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	2026-07-05T12:06:20.072568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288a2c5da4e0dd88c15271076298d26010f8a81a84d47820db67f6c2e61b4fd9

Aliases

arxiv: 2509.03333 · arxiv_version: 2509.03333v2 · doi: 10.48550/arxiv.2509.03333 · pith_short_12: FCFCYXNE4DOY · pith_short_16: FCFCYXNE4DOYRQKS · pith_short_8: FCFCYXNE

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/FCFCYXNE4DOYRQKSOEDWFGGSMA \
  | 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: 288a2c5da4e0dd88c15271076298d26010f8a81a84d47820db67f6c2e61b4fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31effa1d9061ebf79c9f21d8890ce2c065b0054eef1ae70edb672565cc6b9f97",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-09-03T14:09:44Z",
    "title_canon_sha256": "c34acc8b976e1558b990019f75ad4cdc45f120f177ff2dabd50d84b8cfbb5dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03333",
    "kind": "arxiv",
    "version": 2
  }
}