Pith Number

pith:NWIX36EC

pith:2026:NWIX36ECSSIPU2KEZEM3IZEN2L

not attested not anchored not stored refs pending

Finite-Population Inference for Heterogeneity in Many-Group Synthetic Difference-in-Differences

Makoto Nakakita, Takahiro Hoshino

arxiv:2607.08324 v1 · 2026-07-09 · 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{NWIX36ECSSIPU2KEZEM3IZEN2L}

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	2026-07-10T01:19:47.254394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d917df8829490fa6944c919b4648dd2ef378c2537df4fbe4491273ba1a6ab0b

Aliases

arxiv: 2607.08324 · arxiv_version: 2607.08324v1 · doi: 10.48550/arxiv.2607.08324 · pith_short_12: NWIX36ECSSIP · pith_short_16: NWIX36ECSSIPU2KE · pith_short_8: NWIX36EC

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/NWIX36ECSSIPU2KEZEM3IZEN2L \
  | 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: 6d917df8829490fa6944c919b4648dd2ef378c2537df4fbe4491273ba1a6ab0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376549691b7fb6a1a2f0dc396de751a94e91d1374d914c17a397c6c9021ffc16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-09T10:08:00Z",
    "title_canon_sha256": "ad986b1c364101b1f51789ec11e3d6b87dc9592a5becc057a7468671e5ba8880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08324",
    "kind": "arxiv",
    "version": 1
  }
}