Pith Number

pith:3CVDLUFA

pith:2021:3CVDLUFAMBL65FEXQTXFJTZQVZ

not attested not anchored not stored refs pending

A Modified Randomization Test for the Level of Clustering

Yong Cai

arxiv:2105.01008 v2 · 2021-05-03 · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CVDLUFAMBL65FEXQTXFJTZQVZ}

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.

Cited by

1 paper in Pith

Mosaic inference on panel data

Receipt and verification

First computed	2026-07-05T03:50:14.727032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8aa35d0a06057ee949784ee54cf30ae4fb02b5dec7a3afa07dc4381244cbe12

Aliases

arxiv: 2105.01008 · arxiv_version: 2105.01008v2 · doi: 10.48550/arxiv.2105.01008 · pith_short_12: 3CVDLUFAMBL6 · pith_short_16: 3CVDLUFAMBL65FEX · pith_short_8: 3CVDLUFA

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/3CVDLUFAMBL65FEXQTXFJTZQVZ \
  | 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: d8aa35d0a06057ee949784ee54cf30ae4fb02b5dec7a3afa07dc4381244cbe12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cda71d365ff804d0ec4f39f542aa9d8e3ecc65aee70a842a09c9defd559cf5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2021-05-03T16:54:25Z",
    "title_canon_sha256": "da609dfd8c99fe654702119e867d23d2a6a3c8290492d5801059d2d10a3c948f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01008",
    "kind": "arxiv",
    "version": 2
  }
}