Pith Number

pith:YUBKKMFG

pith:2026:YUBKKMFGDWTUZW5QVO753NIYEO

not attested not anchored not stored refs pending

Integrated expectile-based measures of inequality

Ignacio Cascos, Marco Tarsia

arxiv:2606.12333 v1 · 2026-06-10 · 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{YUBKKMFGDWTUZW5QVO753NIYEO}

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	2026-06-11T01:11:02.272039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c502a530a61da74cdbb0abbfddb518239e1820dd033deebb197e875570000c61

Aliases

arxiv: 2606.12333 · arxiv_version: 2606.12333v1 · doi: 10.48550/arxiv.2606.12333 · pith_short_12: YUBKKMFGDWTU · pith_short_16: YUBKKMFGDWTUZW5Q · pith_short_8: YUBKKMFG

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/YUBKKMFGDWTUZW5QVO753NIYEO \
  | 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: c502a530a61da74cdbb0abbfddb518239e1820dd033deebb197e875570000c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41704d03957293a5876ce7776f0b7e1e8e1d3c75f5a86a3a68669e1c4e365155",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-10T17:05:40Z",
    "title_canon_sha256": "72169650be36e9dbf93639c93f3a66569c7a8c3798820eeb6244a06d85dfd9f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12333",
    "kind": "arxiv",
    "version": 1
  }
}