Pith Number

pith:JO6P5UVO

pith:2025:JO6P5UVOZRVGUS3WDO3NZN4M67

not attested not anchored not stored refs pending

A dimension reduction for extreme types of directed dependence

Carsten Limbach, Sebastian Fuchs

arxiv:2506.04825 v1 · 2025-06-05 · 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{JO6P5UVOZRVGUS3WDO3NZN4M67}

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	2026-07-05T11:16:37.328618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bbcfed2aecc6a6a4b761bb6dcb78cf7f07dfe1bcda9175e8228161345c2dee1

Aliases

arxiv: 2506.04825 · arxiv_version: 2506.04825v1 · doi: 10.48550/arxiv.2506.04825 · pith_short_12: JO6P5UVOZRVG · pith_short_16: JO6P5UVOZRVGUS3W · pith_short_8: JO6P5UVO

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/JO6P5UVOZRVGUS3WDO3NZN4M67 \
  | 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: 4bbcfed2aecc6a6a4b761bb6dcb78cf7f07dfe1bcda9175e8228161345c2dee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9cfedce81d9d4c82938e6b853e07e8f9e604cdca04f70e7626fa2f9ca79044",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-05T09:47:37Z",
    "title_canon_sha256": "f4a283911d97ea6b8dd1e079274c0e0a4baa2db922919afab75a1ff33a003fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04825",
    "kind": "arxiv",
    "version": 1
  }
}