Pith Number

pith:JU534VZI

pith:2026:JU534VZICC5Y2ZBO7NMIMTVCJM

not attested not anchored not stored refs pending

P$^2$CE: Model-Agnostic Plausible Pareto-Optimal Counterfactual Explanations

Arthur Hendricks Mendes de Oliveira, Giovani Valdrighi, Marcos Medeiros Raimundo

arxiv:2606.18418 v1 · 2026-06-16 · 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{JU534VZICC5Y2ZBO7NMIMTVCJM}

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	2026-06-19T16:11:00.784293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3bbe572810bb8d642efb58864ea24b1d31113ccff15fcc92db11195599f21f

Aliases

arxiv: 2606.18418 · arxiv_version: 2606.18418v1 · doi: 10.48550/arxiv.2606.18418 · pith_short_12: JU534VZICC5Y · pith_short_16: JU534VZICC5Y2ZBO · pith_short_8: JU534VZI

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/JU534VZICC5Y2ZBO7NMIMTVCJM \
  | 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: 4d3bbe572810bb8d642efb58864ea24b1d31113ccff15fcc92db11195599f21f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc4f723bf767f00bd722d12b80e612aad9afd7eaa2cf5343cd9b4dfc1164dd5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T19:12:43Z",
    "title_canon_sha256": "9a60231f7df70482affd4bc3edfaa5a25fc6e8e52fd3faff8b739b6dfc97909a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18418",
    "kind": "arxiv",
    "version": 1
  }
}