Pith Number

pith:UKLSWFUL

pith:2026:UKLSWFULL2TVDVNWM4LHUBTWSX

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Diversity of Extensions in Abstract Argumentation

Johannes K. Fichte, Markus Hecher, Yasir Mahmood, Zhengjun Wang

Argumentation frameworks can quantify diversity among their extensions using symmetric difference between the sets.

arxiv:2605.13332 v1 · 2026-05-13 · cs.AI · cs.CC

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Claims

C1strongest claim

We introduce a quantitative notion of diversity of extensions based on the symmetric difference and provide a systematic complexity classification.

C2weakest assumption

That symmetric difference between extension sets is a suitable and meaningful way to capture whether extensions represent marginally or fundamentally different viewpoints.

C3one line summary

Introduces diversity of extensions in argumentation frameworks via symmetric difference and gives a systematic complexity classification for deciding existence of k-diverse extensions and computing maximum diversity.

References

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[1] and Hecher, Markus and Nadeem, Mohamed A 2022 · doi:10.24963/ijcai.2022/363

[2] Answer-set programming encodings for argumentation frameworks , url = 2010 · doi:10.1080/19462166.2010.486479

[3] CoRR , title = 2021

[4] 2018 , bdsk-url-1 = 2018 · doi:10.4230/oasics.iclp.2017.2

[5] Representing and comparing large sets of extensions of abstract argumentation frameworks , year = · doi:10.1145/3297280.3297394

Receipt and verification

First computed	2026-05-18T02:44:48.537671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2972b168b5ea751d5b667167a067695cf1f7bbe3bf593b1734c65ea01189215

Aliases

arxiv: 2605.13332 · arxiv_version: 2605.13332v1 · doi: 10.48550/arxiv.2605.13332 · pith_short_12: UKLSWFULL2TV · pith_short_16: UKLSWFULL2TVDVNW · pith_short_8: UKLSWFUL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UKLSWFULL2TVDVNWM4LHUBTWSX \
  | 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: a2972b168b5ea751d5b667167a067695cf1f7bbe3bf593b1734c65ea01189215

Canonical record JSON

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    "abstract_canon_sha256": "84b499a75275063c4b946592d43f8a52bc003678f09dbda2bc6317d0b8286ff0",
    "cross_cats_sorted": [
      "cs.CC"
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    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-13T10:51:41Z",
    "title_canon_sha256": "5470baf400f5328b726a1f446340ea90dd03d8dd3351fc35ddd43f5c31f289d0"
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    "kind": "arxiv",
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}