Pith Number

pith:OH3SLESH

pith:2022:OH3SLESHDESZZWSXPNMKCARDUP

not attested not anchored not stored refs pending

Lorenz map, inequality ordering and curves based on multidimensional rearrangements

Brendan Pass, Jorge A. Rivero, Marc Henry, Yanqin Fan

arxiv:2203.09000 v4 · 2022-03-17 · econ.EM · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OH3SLESHDESZZWSXPNMKCARDUP}

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	2026-07-05T08:08:14.717472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f725924719259cda577b58a10223a3cd234a33e79aed0581135facd025b42f

Aliases

arxiv: 2203.09000 · arxiv_version: 2203.09000v4 · doi: 10.48550/arxiv.2203.09000 · pith_short_12: OH3SLESHDESZ · pith_short_16: OH3SLESHDESZZWSX · pith_short_8: OH3SLESH

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/OH3SLESHDESZZWSXPNMKCARDUP \
  | 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: 71f725924719259cda577b58a10223a3cd234a33e79aed0581135facd025b42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c8fe0dc930c5d2055d2a99d0331cfb25c49489fd168791f00a9d923de1ae1e",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2022-03-17T00:39:47Z",
    "title_canon_sha256": "904ba8b17be84c51a04d2ef32c0306d2906e46bc31b449d8706e7fd5329568c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.09000",
    "kind": "arxiv",
    "version": 4
  }
}