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Under properly selected self-similar measure, we further show the weak elliptic Harnack inequality holds but the strong analogue fails."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Under a properly selected self-similar measure, the weak elliptic Harnack inequality holds but the strong analogue fails on the constructed tree-like fractal Dirichlet space.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That a specific self-similar measure exists on the infinitely branched tree fractal such that the Dirichlet form remains regular while the strong Harnack inequality is violated (abstract, paragraph 2).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Construction of a tree-like fractal Dirichlet space separating weak and strong elliptic Harnack inequalities under a chosen self-similar measure.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A constructed tree-like fractal obeys the weak elliptic Harnack inequality but violates the strong version under a selected self-similar measure.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"adc59db33db2722a90d339b6676e3da6da9a033983cb655ceba20ba39121eefb"},"source":{"id":"2605.15479","kind":"arxiv","version":1},"verdict":{"id":"b6a4b780-1d76-4d96-966a-36a7dd8b746c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T14:20:59.668905Z","strongest_claim":"Under a properly selected self-similar measure, the weak elliptic Harnack inequality holds but the strong analogue fails on the constructed tree-like fractal Dirichlet space.","one_line_summary":"Construction of a tree-like fractal Dirichlet space separating weak and strong elliptic Harnack inequalities under a chosen self-similar measure.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That a specific self-similar measure exists on the infinitely branched tree fractal such that the Dirichlet form remains regular while the strong Harnack inequality is violated (abstract, paragraph 2).","pith_extraction_headline":"A constructed tree-like fractal obeys the weak elliptic Harnack inequality but violates the strong version under a selected self-similar measure."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15479/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T15:22:04.803613Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T14:31:17.484782Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T14:27:33.198063Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T14:21:54.081217Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"citation_quote_validity","ran_at":"2026-05-19T13:49:41.406374Z","status":"skipped","version":"0.1.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.656824Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"aa043bb91bd64f3dc698a16844a5ccfb5651222c93f2f3958ccaa2506bdce5d7"},"references":{"count":9,"sample":[{"doi":"10.4007/annals.2018.187.3","year":2018,"title":"M. 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