Pith Number

pith:XUSZYBCE

pith:2025:XUSZYBCE5BQMTXZCXTVCWNIWBJ

not attested not anchored not stored refs pending

$\beta$-integrated local depth and corresponding partitioned local depth representation

Alexandre Leblanc, Paul D. McNicholas, Siyi Wang

arxiv:2506.14108 v2 · 2025-06-17 · math.ST · stat.ME · 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{XUSZYBCE5BQMTXZCXTVCWNIWBJ}

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	2026-07-05T11:25:12.892573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd259c0444e860c9df22bcea2b35160a4141cd81c2dbae3f244213f8bea9dc4f

Aliases

arxiv: 2506.14108 · arxiv_version: 2506.14108v2 · doi: 10.48550/arxiv.2506.14108 · pith_short_12: XUSZYBCE5BQM · pith_short_16: XUSZYBCE5BQMTXZC · pith_short_8: XUSZYBCE

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/XUSZYBCE5BQMTXZCXTVCWNIWBJ \
  | 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: bd259c0444e860c9df22bcea2b35160a4141cd81c2dbae3f244213f8bea9dc4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ea6ac1196acf012969f482ef639fb7abe0010961912f9fc981debac95776cb",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-17T01:59:41Z",
    "title_canon_sha256": "ff2c73326ee871a35d548e3f41e52fcf92fc29b133d2b6b294f7d7ff0eff7b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14108",
    "kind": "arxiv",
    "version": 2
  }
}