Pith Number

pith:H4GIQFXI

pith:2022:H4GIQFXIQCAPDOI4NB4UYQHK4K

not attested not anchored not stored refs pending

Heterogeneous Treatment Effects for Networks, Panels, and other Outcome Matrices

Eric Auerbach, Yong Cai

arxiv:2205.01246 v2 · 2022-05-02 · econ.EM · 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{H4GIQFXIQCAPDOI4NB4UYQHK4K}

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	2026-07-05T05:04:28.931512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0c8816e88080f1b91c68794c40eae2b1842f8a50d1195ffad16fa285e2258c

Aliases

arxiv: 2205.01246 · arxiv_version: 2205.01246v2 · doi: 10.48550/arxiv.2205.01246 · pith_short_12: H4GIQFXIQCAP · pith_short_16: H4GIQFXIQCAPDOI4 · pith_short_8: H4GIQFXI

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/H4GIQFXIQCAPDOI4NB4UYQHK4K \
  | 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: 3f0c8816e88080f1b91c68794c40eae2b1842f8a50d1195ffad16fa285e2258c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7615bd715043113dfe2a00b3d5d9f3989a04ca74cdaa2f0767bf3a6d83fb754e",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2022-05-02T23:39:12Z",
    "title_canon_sha256": "e028a181802f6b204e9accaaa33a8201d896b827bc639246706005edd62939ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.01246",
    "kind": "arxiv",
    "version": 2
  }
}