Pith Number

pith:TFK6UP2T

pith:2026:TFK6UP2THX5GTRHQNUJXJRL7KU

not attested not anchored not stored refs pending

Orthogonal Integrated Conditional Moment Tests for Treatment Effect Heterogeneity

Haokun Lu, Xiaojun Song

arxiv:2607.12622 v1 · 2026-07-14 · 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{TFK6UP2THX5GTRHQNUJXJRL7KU}

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	2026-07-15T01:22:07.233099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9955ea3f533dfa69c4f06d1374c57f551ca3e433817b0d4b3fab865367b0fd63

Aliases

arxiv: 2607.12622 · arxiv_version: 2607.12622v1 · doi: 10.48550/arxiv.2607.12622 · pith_short_12: TFK6UP2THX5G · pith_short_16: TFK6UP2THX5GTRHQ · pith_short_8: TFK6UP2T

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/TFK6UP2THX5GTRHQNUJXJRL7KU \
  | 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: 9955ea3f533dfa69c4f06d1374c57f551ca3e433817b0d4b3fab865367b0fd63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf8664a68f65d8e60e314bc5a8924bc692dfe22372227a143891012dcce29e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-14T10:59:54Z",
    "title_canon_sha256": "37c5d2684ad1eeb782664c6b05a0df8fb7eb27f869a1291df6f83302b283370d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12622",
    "kind": "arxiv",
    "version": 1
  }
}