Pith Number

pith:HR4XMK6B

pith:2026:HR4XMK6BR6Q75BUDU35ORTOGAY

not attested not anchored not stored refs pending

Variance or Standard Deviation? Shell Geometry and Global-Scale Priors in High-Dimensional Shrinkage

Wayne Yuan Gao, Zhiheng You

arxiv:2606.23509 v1 · 2026-06-22 · stat.ME · econ.EM · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR4XMK6BR6Q75BUDU35ORTOGAY}

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	2026-06-23T03:14:21.875455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c79762bc18fa1fe8683a6fae8cdc60638826a18f90bce803e8c4e710a5ba876

Aliases

arxiv: 2606.23509 · arxiv_version: 2606.23509v1 · doi: 10.48550/arxiv.2606.23509 · pith_short_12: HR4XMK6BR6Q7 · pith_short_16: HR4XMK6BR6Q75BUD · pith_short_8: HR4XMK6B

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/HR4XMK6BR6Q75BUDU35ORTOGAY \
  | 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: 3c79762bc18fa1fe8683a6fae8cdc60638826a18f90bce803e8c4e710a5ba876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7506385ada7d277c9928145d6c180d9dd52527e29a5bcb1648f8f7a38e7c9b",
    "cross_cats_sorted": [
      "econ.EM",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-22T15:57:01Z",
    "title_canon_sha256": "a6b95711499390ad89980e07f08183b6331b580dcb77afb755e996631cdf04c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23509",
    "kind": "arxiv",
    "version": 1
  }
}