Pith Number

pith:F7ESJ7TI

pith:2024:F7ESJ7TIVR6M6SYUJYDJCGSGXU

not attested not anchored not stored refs pending

Estimation and inference of average treatment effects under heterogeneous additive treatment effect model

Hanzhong Liu, Hongzi Li, Xin Lu

arxiv:2408.17205 v1 · 2024-08-30 · 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{F7ESJ7TIVR6M6SYUJYDJCGSGXU}

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	2026-07-05T09:01:12.186130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc924fe68ac7ccf4b144e06911a46bd3f701b7cbfa31181d3baec1d52fab949

Aliases

arxiv: 2408.17205 · arxiv_version: 2408.17205v1 · doi: 10.48550/arxiv.2408.17205 · pith_short_12: F7ESJ7TIVR6M · pith_short_16: F7ESJ7TIVR6M6SYU · pith_short_8: F7ESJ7TI

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/F7ESJ7TIVR6M6SYUJYDJCGSGXU \
  | 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: 2fc924fe68ac7ccf4b144e06911a46bd3f701b7cbfa31181d3baec1d52fab949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3494af4f5bbc514371ec9a9f372e1ea812caae24111277a7118887f3e4a8400a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-08-30T11:07:11Z",
    "title_canon_sha256": "ab5d37167cf26f71dbffccc1fe25fa7e5ac9a7595ef14860cd22e109be13a730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.17205",
    "kind": "arxiv",
    "version": 1
  }
}