Pith Number

pith:CET7NMW5

pith:2025:CET7NMW53TUHJSG4FIV2XGBAYB

not attested not anchored not stored refs pending

Treatment Effects of Multi-Valued Treatments in Hyper-Rectangle Model

Xunkang Tian

arxiv:2509.05177 v1 · 2025-09-05 · 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{CET7NMW53TUHJSG4FIV2XGBAYB}

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	2026-07-05T12:05:37.274129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1127f6b2dddce874c8dc2a2bab9820c0790369d91cdd96e45fa9c5c192919957

Aliases

arxiv: 2509.05177 · arxiv_version: 2509.05177v1 · doi: 10.48550/arxiv.2509.05177 · pith_short_12: CET7NMW53TUH · pith_short_16: CET7NMW53TUHJSG4 · pith_short_8: CET7NMW5

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/CET7NMW53TUHJSG4FIV2XGBAYB \
  | 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: 1127f6b2dddce874c8dc2a2bab9820c0790369d91cdd96e45fa9c5c192919957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856a54ac936798b2ef8d60fc13717197b3167b4e115a85a2f6acff13f99ba2ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2025-09-05T15:24:42Z",
    "title_canon_sha256": "9f4d78ad825b41abc81b7e34524a1f286a4f01d6bbfc45642cee607d850ce5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05177",
    "kind": "arxiv",
    "version": 1
  }
}