Pith Number

pith:U4UALB5I

pith:2026:U4UALB5ILYZZZ3E4GHYJIENRWQ

not attested not anchored not stored refs pending

Automatic, Debiased, and Invariant Counterfactual Generation under General Interventions

Jingsen Zhu, Michele Santacatterina, Ramin Zabih, Raphael C Kim

arxiv:2606.07399 v1 · 2026-06-05 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4UALB5ILYZZZ3E4GHYJIENRWQ}

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	2026-06-08T01:05:24.834011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7280587a85e339cec9c31f09411b1b410f4a511a105bf7f95d33c46b947f265

Aliases

arxiv: 2606.07399 · arxiv_version: 2606.07399v1 · doi: 10.48550/arxiv.2606.07399 · pith_short_12: U4UALB5ILYZZ · pith_short_16: U4UALB5ILYZZZ3E4 · pith_short_8: U4UALB5I

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/U4UALB5ILYZZZ3E4GHYJIENRWQ \
  | 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: a7280587a85e339cec9c31f09411b1b410f4a511a105bf7f95d33c46b947f265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fcd89d402f5407a2ef966a180178710979c79f15b103990e2637c48c8042ba9",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-05T15:40:59Z",
    "title_canon_sha256": "20b16c073ae76793f47ec767fdbe620dbe58abe7d9c79d36185472c5845be0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07399",
    "kind": "arxiv",
    "version": 1
  }
}