Pith Number

pith:DUSH22Y3

pith:2024:DUSH22Y3PFYMOXQ6AOM3PUUN2U

not attested not anchored not stored refs pending

General limit theorems for mixtures of free, monotone, and boolean independence

David Jekel, Janusz Wysocza\'nski, Lahcen Oussi

arxiv:2407.02276 v2 · 2024-07-02 · math.PR · math.CO · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUSH22Y3PFYMOXQ6AOM3PUUN2U}

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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

✓ 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

Graphon-Theoretic Approach to Central Limit Theorems for $\epsilon$-Independence

Receipt and verification

First computed	2026-07-05T11:45:13.227783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d247d6b1b7970c75e1e0399b7d28dd507a4755ca6fc035eb8310ff6935d1a82

Aliases

arxiv: 2407.02276 · arxiv_version: 2407.02276v2 · doi: 10.48550/arxiv.2407.02276 · pith_short_12: DUSH22Y3PFYM · pith_short_16: DUSH22Y3PFYMOXQ6 · pith_short_8: DUSH22Y3

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/DUSH22Y3PFYMOXQ6AOM3PUUN2U \
  | 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: 1d247d6b1b7970c75e1e0399b7d28dd507a4755ca6fc035eb8310ff6935d1a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecae58cce514064a82a0e70bc144c83257bf2df27da0eadfe14a8291cd379270",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-02T14:05:41Z",
    "title_canon_sha256": "ea11926563e5972fdcd1cfa20de7e3730ee849c48d2be3d4a227cd4755a38387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02276",
    "kind": "arxiv",
    "version": 2
  }
}