Pith Number

pith:LCC3WR3X

pith:2026:LCC3WR3X3NRK6ZSA42S2LS2PWZ

not attested not anchored not stored refs pending

An Adaptive Upper One-Sided Cumulative Sum Control Chart with Joint Parameter Optimization for Monitoring the Ratio of Two Normal Variables in Short Production Runs

Kim Duc Tran

arxiv:2606.06137 v1 · 2026-06-04 · math.ST · 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{LCC3WR3X3NRK6ZSA42S2LS2PWZ}

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	2026-06-05T01:15:34.764411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5885bb4777db62af6640e6a5a5cb4fb64a07baf92f8f66fd12f9839fc189222a

Aliases

arxiv: 2606.06137 · arxiv_version: 2606.06137v1 · doi: 10.48550/arxiv.2606.06137 · pith_short_12: LCC3WR3X3NRK · pith_short_16: LCC3WR3X3NRK6ZSA · pith_short_8: LCC3WR3X

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/LCC3WR3X3NRK6ZSA42S2LS2PWZ \
  | 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: 5885bb4777db62af6640e6a5a5cb4fb64a07baf92f8f66fd12f9839fc189222a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323a88a92d916a7544b26ab5ac0ca0b8eebd27f2bc932175c1deb1ec5418b64b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-04T13:19:32Z",
    "title_canon_sha256": "cfbced12eec177f7f31abb4d34a54ee34f31e5fc0d2c13809e391f4d20132704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06137",
    "kind": "arxiv",
    "version": 1
  }
}