Pith Number

pith:JMLLTVTL

pith:2021:JMLLTVTLHY2DXXGJDLVA6EPQ4M

not attested not anchored not stored refs pending

Effect or Treatment Heterogeneity? Policy Evaluation with Aggregated and Disaggregated Treatments

Michael C. Knaus, Phillip Heiler

arxiv:2110.01427 v4 · 2021-10-04 · 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{JMLLTVTLHY2DXXGJDLVA6EPQ4M}

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.

Cited by

1 paper in Pith

Adaptive Estimation of Aggregated Values of Conditional Linear Programs

Receipt and verification

First computed	2026-07-05T06:37:47.561195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b16b9d66b3e343bdcc91aea0f11f0e31a3d78b8d8c00d79f91f4d4310f7abd9

Aliases

arxiv: 2110.01427 · arxiv_version: 2110.01427v4 · doi: 10.48550/arxiv.2110.01427 · pith_short_12: JMLLTVTLHY2D · pith_short_16: JMLLTVTLHY2DXXGJ · pith_short_8: JMLLTVTL

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/JMLLTVTLHY2DXXGJDLVA6EPQ4M \
  | 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: 4b16b9d66b3e343bdcc91aea0f11f0e31a3d78b8d8c00d79f91f4d4310f7abd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8afc96a4c6332c300636ef94c8f0923ca8fa6cdbaae63d491d037644cc3cc1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2021-10-04T13:09:49Z",
    "title_canon_sha256": "7b2dac347cb40dd4e36896d0af1a1ebc7e8b84a42a7037189e3cd3bd40dc63c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.01427",
    "kind": "arxiv",
    "version": 4
  }
}