Pith Number

pith:KJKL5OGQ

pith:2025:KJKL5OGQ2K5YWZOWGSZBYAOCGC

not attested not anchored not stored refs pending

Counterfactual Influence as a Distributional Quantity

Georgios Kaissis, Igor Shilov, Matthieu Meeus, Yves-Alexandre de Montjoye

arxiv:2506.20481 v1 · 2025-06-25 · cs.LG · cs.AI · cs.CL · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJKL5OGQ2K5YWZOWGSZBYAOCGC}

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	2026-07-05T11:27:06.477829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5254beb8d0d2bb8b65d634b21c01c230871532be54e4bb294237f0b53e5fa807

Aliases

arxiv: 2506.20481 · arxiv_version: 2506.20481v1 · doi: 10.48550/arxiv.2506.20481 · pith_short_12: KJKL5OGQ2K5Y · pith_short_16: KJKL5OGQ2K5YWZOW · pith_short_8: KJKL5OGQ

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/KJKL5OGQ2K5YWZOWGSZBYAOCGC \
  | 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: 5254beb8d0d2bb8b65d634b21c01c230871532be54e4bb294237f0b53e5fa807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25fb6fd1def73803eb39862f5d4b37a5791ca4be2f618f33a8f0ced7148e3f13",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-25T14:25:11Z",
    "title_canon_sha256": "ed494376f23a96a9da9fe7be89dfbafbae1a3f4f02891deca0d4625923777702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20481",
    "kind": "arxiv",
    "version": 1
  }
}