Pith Number

pith:BDCER3OO

pith:2025:BDCER3OOWHXIFEIE5UHFVLZ5MK

not attested not anchored not stored refs pending

Actionable and diverse counterfactual explanations incorporating domain knowledge and plausibility constraints

Grzegorz J. Nalepa, {\L}ukasz Ba{\l}ec, Szymon Bobek

arxiv:2511.20236 v3 · 2025-11-25 · cs.AI · 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{BDCER3OOWHXIFEIE5UHFVLZ5MK}

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	2026-05-26T02:04:00.295022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c448edceb1ee829104ed0e5aaf3d62a2de9e422bbc7571a446f5a00e0d68ef

Aliases

arxiv: 2511.20236 · arxiv_version: 2511.20236v3 · doi: 10.48550/arxiv.2511.20236 · pith_short_12: BDCER3OOWHXI · pith_short_16: BDCER3OOWHXIFEIE · pith_short_8: BDCER3OO

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/BDCER3OOWHXIFEIE5UHFVLZ5MK \
  | 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: 08c448edceb1ee829104ed0e5aaf3d62a2de9e422bbc7571a446f5a00e0d68ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240f8c2b4ee9162bbba65e8798c78912ee85e8c2ba61698e6c1b1bd09048a004",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-11-25T12:09:36Z",
    "title_canon_sha256": "2b65c49abfbb6e3c068b2727a1fc27c21ac046d7c714e7fbeb71cd04003ff2a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20236",
    "kind": "arxiv",
    "version": 3
  }
}