Pith Number

pith:AXTWUZQA

pith:2022:AXTWUZQAZHPMJYRRLO6BPQJ76K

not attested not anchored not stored refs pending

Unbiased estimation of the OLS covariance matrix when the errors are clustered

Gianmaria Niccodemi, Tom Boot, Tom Wansbeek

arxiv:2206.09644 v1 · 2022-06-20 · 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{AXTWUZQAZHPMJYRRLO6BPQJ76K}

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	2026-07-05T04:33:09.497843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e76a6600c9dec4e2315bbc17c13ff2bb9ee52190da06108c9096018ffe48dd

Aliases

arxiv: 2206.09644 · arxiv_version: 2206.09644v1 · doi: 10.48550/arxiv.2206.09644 · pith_short_12: AXTWUZQAZHPM · pith_short_16: AXTWUZQAZHPMJYRR · pith_short_8: AXTWUZQA

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/AXTWUZQAZHPMJYRRLO6BPQJ76K \
  | 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: 05e76a6600c9dec4e2315bbc17c13ff2bb9ee52190da06108c9096018ffe48dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7757a3c7361c288068015facb57b04bce61bf78a68a9c57b34220c102550d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2022-06-20T08:51:35Z",
    "title_canon_sha256": "2a78001444574798b5edff640f2691ebe89f8283a518fc60d5bfd3f1707ea8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.09644",
    "kind": "arxiv",
    "version": 1
  }
}