Pith Number

pith:7IGBZQUH

pith:2025:7IGBZQUHT4ZSU6UD4PJWBXJRFR

not attested not anchored not stored refs pending

Symmetrization for high dimensional dependent random variables

Jonathan B. Hill

arxiv:2506.00547 v1 · 2025-05-31 · math.PR · 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{7IGBZQUHT4ZSU6UD4PJWBXJRFR}

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	2026-07-05T11:13:36.737156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa0c1cc2879f332a7a83e3d360dd312c5900d34225c893bfa505f6551cee4e67

Aliases

arxiv: 2506.00547 · arxiv_version: 2506.00547v1 · doi: 10.48550/arxiv.2506.00547 · pith_short_12: 7IGBZQUHT4ZS · pith_short_16: 7IGBZQUHT4ZSU6UD · pith_short_8: 7IGBZQUH

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/7IGBZQUHT4ZSU6UD4PJWBXJRFR \
  | 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: fa0c1cc2879f332a7a83e3d360dd312c5900d34225c893bfa505f6551cee4e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c72626fd84bb738bb89910a607756f6cf8f503b4025e910934f3231bed4c856",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-31T13:11:05Z",
    "title_canon_sha256": "551a31d4d58b1024c47302955b6185f619b7f853e6dbd3661d4a50b17f49102f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00547",
    "kind": "arxiv",
    "version": 1
  }
}