Pith Number

pith:T53RCZVF

pith:2025:T53RCZVFKT2HXCEPRKNF3GTSMR

not attested not anchored not stored refs pending

A Response to Recent Critiques of Hainmueller, Mummolo and Xu (2019) on Estimating Conditional Relationships

Jens Hainmueller, Jiehan Liu, Jonathan Mummolo, Yiqing Xu, Ziyi Liu

arxiv:2502.05717 v1 · 2025-02-08 · 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{T53RCZVFKT2HXCEPRKNF3GTSMR}

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	2026-07-05T10:11:42.485903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f771166a554f47b888f8a9a5d9a72646a490941db052eb2d1680966dd84d29a

Aliases

arxiv: 2502.05717 · arxiv_version: 2502.05717v1 · doi: 10.48550/arxiv.2502.05717 · pith_short_12: T53RCZVFKT2H · pith_short_16: T53RCZVFKT2HXCEP · pith_short_8: T53RCZVF

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/T53RCZVFKT2HXCEPRKNF3GTSMR \
  | 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: 9f771166a554f47b888f8a9a5d9a72646a490941db052eb2d1680966dd84d29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e628900dbd6da4cca78f19511721aa28da1ca76c12963502bfc72637021291",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-02-08T23:04:49Z",
    "title_canon_sha256": "457b66e707abe5ed048eed98bbb436898021e6a84a294d693a7d335d5188b35d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05717",
    "kind": "arxiv",
    "version": 1
  }
}