Pith Number

pith:XKNOTH2U

pith:2025:XKNOTH2UQKSUQN3WCSLNG4XPJ5

not attested not anchored not stored refs pending

Moment Monotonicity of Weibull, Gamma and Log-normal Distributions

Kang Liu

arxiv:2502.11366 v1 · 2025-02-17 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKNOTH2UQKSUQN3WCSLNG4XPJ5}

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

Optimizing Conversational Product Recommendation via Reinforcement Learning

Receipt and verification

First computed	2026-07-05T10:15:27.199914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9ae99f5482a54837761496d372ef4f6789736edaa46b309a87e3a821fc6b51

Aliases

arxiv: 2502.11366 · arxiv_version: 2502.11366v1 · doi: 10.48550/arxiv.2502.11366 · pith_short_12: XKNOTH2UQKSU · pith_short_16: XKNOTH2UQKSUQN3W · pith_short_8: XKNOTH2U

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/XKNOTH2UQKSUQN3WCSLNG4XPJ5 \
  | 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: ba9ae99f5482a54837761496d372ef4f6789736edaa46b309a87e3a821fc6b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7677a89c77f65d1ff1b29e0f62af400b824c0402917913381a1e82a9b40aeb",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-02-17T02:30:44Z",
    "title_canon_sha256": "4c4d0b6d820320a4797c2830d96cf8cb8fb1025bb9b0156553eea65d69e1a1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.11366",
    "kind": "arxiv",
    "version": 1
  }
}