Pith Number

pith:YQ55JOYL

pith:2026:YQ55JOYLFW26XFMJPOHFNUFU2N

not attested not anchored not stored refs pending

Phase transition of Schott's statistic for high-dimensional heavy-tailed data

Cheng Wang, Guangming Pan, Hantao Chen

arxiv:2606.12943 v1 · 2026-06-11 · 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{YQ55JOYLFW26XFMJPOHFNUFU2N}

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	2026-06-12T01:09:35.148063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c43bd4bb0b2db5eb95897b8e56d0b4d353ed3570086607ab19d017271c575a0b

Aliases

arxiv: 2606.12943 · arxiv_version: 2606.12943v1 · doi: 10.48550/arxiv.2606.12943 · pith_short_12: YQ55JOYLFW26 · pith_short_16: YQ55JOYLFW26XFMJ · pith_short_8: YQ55JOYL

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/YQ55JOYLFW26XFMJPOHFNUFU2N \
  | 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: c43bd4bb0b2db5eb95897b8e56d0b4d353ed3570086607ab19d017271c575a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c726d2cef2088ea48305071ffe5ab88a4e0be6d050958e33cfd9c73182d737",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-11T06:10:50Z",
    "title_canon_sha256": "738f5986fbb78d258f342d3da22e898272e0a640636259238ab57235bc189f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12943",
    "kind": "arxiv",
    "version": 1
  }
}