Pith Number

pith:P6TYTZ4I

pith:2026:P6TYTZ4I33IRVH4LO4WO4DB427

not attested not anchored not stored refs pending

Dimension-invariant uniform consistency of the empirical spatial distribution function and its associated spatial depth estimator

Felix Gnettner, Hyemin Yeon, Piotr Kokoszka

arxiv:2607.16092 v1 · 2026-07-17 · math.ST · math.PR · stat.ML · 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{P6TYTZ4I33IRVH4LO4WO4DB427}

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	2026-07-20T02:19:30.459432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa789e788ded11a9f8b772cee0c3cd7d879d120135b6bcbe3d4cc99ad70808e

Aliases

arxiv: 2607.16092 · arxiv_version: 2607.16092v1 · doi: 10.48550/arxiv.2607.16092 · pith_short_12: P6TYTZ4I33IR · pith_short_16: P6TYTZ4I33IRVH4L · pith_short_8: P6TYTZ4I

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/P6TYTZ4I33IRVH4LO4WO4DB427 \
  | 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: 7fa789e788ded11a9f8b772cee0c3cd7d879d120135b6bcbe3d4cc99ad70808e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60721083908c56b3095f589036bfabcef93df45d1709a86b9d095c2ae6719b69",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-17T16:23:04Z",
    "title_canon_sha256": "11ad4d17a42c85f3e9c1f74f9a64215f8f651c1a557a498fefb6ab0a83244056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16092",
    "kind": "arxiv",
    "version": 1
  }
}