Pith Number

pith:UTXSHFCI

pith:2024:UTXSHFCIKWOZF22CBOCHTI3SE3

not attested not anchored not stored refs pending

From Probability to Counterfactuals: the Increasing Complexity of Satisfiability in Pearl's Causal Hierarchy

Benito van der Zander, Julian D\"orfler, Maciej Liskiewicz, Markus Bl\"aser

arxiv:2405.07373 v3 · 2024-05-12 · cs.AI · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTXSHFCIKWOZF22CBOCHTI3SE3}

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

A Distributional Perspective on Pearl's Causal Hierarchy: From Marginal to Joint and Individualized Potential Outcomes

Receipt and verification

First computed	2026-07-05T10:10:23.250726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ef239448559d92eb420b8479a37226e070a1e405b274799a40e8242d45aedc

Aliases

arxiv: 2405.07373 · arxiv_version: 2405.07373v3 · doi: 10.48550/arxiv.2405.07373 · pith_short_12: UTXSHFCIKWOZ · pith_short_16: UTXSHFCIKWOZF22C · pith_short_8: UTXSHFCI

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/UTXSHFCIKWOZF22CBOCHTI3SE3 \
  | 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: a4ef239448559d92eb420b8479a37226e070a1e405b274799a40e8242d45aedc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2c95a36de628bde290f5fcaf3b8094a275022250614e54a405595ab87c4381",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-05-12T20:25:36Z",
    "title_canon_sha256": "0b742c219fa9fa826c7b94468b8fbd35ad949e907bb295d7c27e090f5662bede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07373",
    "kind": "arxiv",
    "version": 3
  }
}