Pith Number

pith:PHBE43K6

pith:2026:PHBE43K6P2OEG2VS7RRUKXGPA3

not attested not anchored not stored refs pending

Beyond But-for Test: Counterfactual Explanation in Abstract Argumentation via Actual Causality (Extended Version)

Beishui Liao, Muyun Shao, Siyi Liu

arxiv:2606.31080 v1 · 2026-06-30 · cs.LO · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHBE43K6P2OEG2VS7RRUKXGPA3}

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	2026-07-01T01:17:28.481894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c24e6d5e7e9c436ab2fc63455ccf06d0e61e74d3d8c0e062b6722988c9e870

Aliases

arxiv: 2606.31080 · arxiv_version: 2606.31080v1 · doi: 10.48550/arxiv.2606.31080 · pith_short_12: PHBE43K6P2OE · pith_short_16: PHBE43K6P2OEG2VS · pith_short_8: PHBE43K6

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/PHBE43K6P2OEG2VS7RRUKXGPA3 \
  | 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: 79c24e6d5e7e9c436ab2fc63455ccf06d0e61e74d3d8c0e062b6722988c9e870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca22cf1ac1bfb61cd7fd737c0b03024a141022268a28be04ab00aff5fad3c78c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-30T03:13:02Z",
    "title_canon_sha256": "249af67e00a1408daf953317c260aec13421b68b780d678c33f3df765ad42668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31080",
    "kind": "arxiv",
    "version": 1
  }
}