Pith Number

pith:OIVGJQ3Y

pith:2026:OIVGJQ3YWRKUZBMMTIIBTOUJPI

not attested not anchored not stored refs pending

Refined Cluster Robust Inference

Bulat Gafarov, Takuya Ura

arxiv:2603.24786 v2 · 2026-03-25 · econ.EM · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIVGJQ3YWRKUZBMMTIIBTOUJPI}

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	2026-06-04T01:08:49.281327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

722a64c378b4554c858c9a1019ba897a047ca596b27d7f79c0aa56162fd5e4db

Aliases

arxiv: 2603.24786 · arxiv_version: 2603.24786v2 · doi: 10.48550/arxiv.2603.24786 · pith_short_12: OIVGJQ3YWRKU · pith_short_16: OIVGJQ3YWRKUZBMM · pith_short_8: OIVGJQ3Y

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/OIVGJQ3YWRKUZBMMTIIBTOUJPI \
  | 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: 722a64c378b4554c858c9a1019ba897a047ca596b27d7f79c0aa56162fd5e4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738c38150e78b754171b569f3ebb740bfa13d6c52bda6a149abdd366aafb5b82",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-03-25T20:00:38Z",
    "title_canon_sha256": "e66a9add0386072eba2241f9aaf927e225d20a4d9edef7b6734a664e5a4d1525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.24786",
    "kind": "arxiv",
    "version": 2
  }
}