Pith Number

pith:52VKLOZM

pith:2026:52VKLOZMVNSRWKUOGVWFHK2WX5

not attested not anchored not stored refs pending

Causal Gaussian Processes for Robust Treatment Effect Evaluation with Unobserved Confounding

Elias Bareinboim, Jingyuan Chen, Junzhe Zhang

arxiv:2606.21809 v1 · 2026-06-20 · 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{52VKLOZMVNSRWKUOGVWFHK2WX5}

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	2026-06-23T01:13:23.369117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeaaa5bb2cab651b2a8e356c53ab56bf59aabfd15488bd379890a5fda9793fcf

Aliases

arxiv: 2606.21809 · arxiv_version: 2606.21809v1 · doi: 10.48550/arxiv.2606.21809 · pith_short_12: 52VKLOZMVNSR · pith_short_16: 52VKLOZMVNSRWKUO · pith_short_8: 52VKLOZM

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/52VKLOZMVNSRWKUOGVWFHK2WX5 \
  | 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: eeaaa5bb2cab651b2a8e356c53ab56bf59aabfd15488bd379890a5fda9793fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ee3b3397585db23ccb7a6a7c299ffa481e6f9cf326794733c4bac4393150c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-20T00:05:25Z",
    "title_canon_sha256": "e0f4a338f8accb2394fee7fb3f07f3fef3a2f4e19622e631f20869fd561a39b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21809",
    "kind": "arxiv",
    "version": 1
  }
}