Pith Number

pith:PFWM7UBE

pith:2025:PFWM7UBEXEE4C4X7VTMFUHKO5T

not attested not anchored not stored refs pending

Multilevel Decomposition of Generalized Entropy Measures Using Constrained Bayes Estimation: An Application to Japanese Regional Data

Kazuhiko Kakamu, Yuki Kawakubo

arxiv:2506.21213 v1 · 2025-06-26 · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFWM7UBEXEE4C4X7VTMFUHKO5T}

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	2026-07-05T11:27:41.531161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796ccfd024b909c172ffacd85a1d4eece5a07b1c7b6990368e6633aef9954038

Aliases

arxiv: 2506.21213 · arxiv_version: 2506.21213v1 · doi: 10.48550/arxiv.2506.21213 · pith_short_12: PFWM7UBEXEE4 · pith_short_16: PFWM7UBEXEE4C4X7 · pith_short_8: PFWM7UBE

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/PFWM7UBEXEE4C4X7VTMFUHKO5T \
  | 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: 796ccfd024b909c172ffacd85a1d4eece5a07b1c7b6990368e6633aef9954038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175ea9f98a00bc8472884c3db24074e6d76cf744ec5c476b8621f4e797837681",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2025-06-26T13:07:35Z",
    "title_canon_sha256": "eb3361349e9e4221ff2eb0e1383a11cf8696d58fd58a2535b249411ccd00b0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21213",
    "kind": "arxiv",
    "version": 1
  }
}