Pith Number

pith:PYHU6CKT

pith:2026:PYHU6CKTIRLIGIZBE7AONFREUA

not attested not anchored not stored refs pending

Robust Indicators of Spatial Association

Levi John Wolf, Wei Kang

arxiv:2607.07215 v1 · 2026-07-08 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYHU6CKTIRLIGIZBE7AONFREUA}

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	2026-07-09T01:20:17.988619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0f4f0953445683232127c0e69624a03dd5a3f8748c373de24ce2d11b46944f

Aliases

arxiv: 2607.07215 · arxiv_version: 2607.07215v1 · doi: 10.48550/arxiv.2607.07215 · pith_short_12: PYHU6CKTIRLI · pith_short_16: PYHU6CKTIRLIGIZB · pith_short_8: PYHU6CKT

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/PYHU6CKTIRLIGIZBE7AONFREUA \
  | 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: 7e0f4f0953445683232127c0e69624a03dd5a3f8748c373de24ce2d11b46944f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f49045e2022c9967e9c6d92fdf216cb44db65e853ffe1e599725d43fb688f2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-08T09:55:10Z",
    "title_canon_sha256": "22175266c1a4299191f054e66eeace3b441d0d2c1de91052d9ebd62c68f4efd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07215",
    "kind": "arxiv",
    "version": 1
  }
}