Pith Number

pith:42NIDRCR

pith:2020:42NIDRCRJP3I2HBZQ75OZO2U6J

not attested not anchored not stored refs pending

A Test for Kronecker Product Structure Covariance Matrix

Frank Kleibergen, Patrik Guggenberger, Sophocles Mavroeidis

arxiv:2010.10961 v4 · 2020-10-21 · 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{42NIDRCRJP3I2HBZQ75OZO2U6J}

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	2026-07-05T03:52:24.749350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69a81c4514bf68d1c3987faecbb54f256c5d8fcef23fa446b416430d26115d7

Aliases

arxiv: 2010.10961 · arxiv_version: 2010.10961v4 · doi: 10.48550/arxiv.2010.10961 · pith_short_12: 42NIDRCRJP3I · pith_short_16: 42NIDRCRJP3I2HBZ · pith_short_8: 42NIDRCR

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/42NIDRCRJP3I2HBZQ75OZO2U6J \
  | 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: e69a81c4514bf68d1c3987faecbb54f256c5d8fcef23fa446b416430d26115d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3bcea3b1d035b68bd5e55e553d342691f3734b9b3614d95c6d0a428cd90810e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2020-10-21T12:56:21Z",
    "title_canon_sha256": "e361a2e8413a825728334dffa9b8b138ab6e013b87d3507fb4a167323e0445bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10961",
    "kind": "arxiv",
    "version": 4
  }
}