{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PTH4N35HCL4IB2BTGRBS323WZA","short_pith_number":"pith:PTH4N35H","schema_version":"1.0","canonical_sha256":"7ccfc6efa712f880e83334432deb76c81433975f150dbda2909fd79501677e19","source":{"kind":"arxiv","id":"1411.2900","version":1},"attestation_state":"computed","paper":{"title":"Hunt's hypothesis (H) and the triangle property of the Green function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ivan Netuka, Wolfhard Hansen","submitted_at":"2014-11-11T17:50:09Z","abstract_excerpt":"Let $X$ be a locally compact abelian group with countable base and let $\\mathcal W$ be a convex cone of positive numerical functions on $X$ which is invariant under the group action and such that $(X,\\mathcal W)$ is a balayage space or (equivalently, if $1\\in \\mathcal W$) such that $\\mathcal W$ is the set of excessive functions of a Hunt process on $X$, $\\mathcal W$ separates points, every function in $\\mathcal W$ is the supremum of its continuous minorants in $\\mathcal W$, and there exist strictly positive continuous $u,v\\in \\mathcal W$ such that $u/v\\to 0$ at infinity.\n  Assuming that there "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.2900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-11T17:50:09Z","cross_cats_sorted":[],"title_canon_sha256":"ad2c0c50054fe34ccc351baa9c6245b656bb08b08c90c734921bebb9e943af6d","abstract_canon_sha256":"f851be5a3731513443275df3bdcc265a8d990d76b0c4fe31d03eb69fc7db9eb8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:52.761146Z","signature_b64":"E1vRmJCTYRxClfRqvVgDadKJNOa0RoZ0MKAaRXAeg+LEsmWOtDH7ATHua1UvTSQLzXVwy31i6RedI+4GMNl1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ccfc6efa712f880e83334432deb76c81433975f150dbda2909fd79501677e19","last_reissued_at":"2026-05-18T02:37:52.760709Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:52.760709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hunt's hypothesis (H) and the triangle property of the Green function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ivan Netuka, Wolfhard Hansen","submitted_at":"2014-11-11T17:50:09Z","abstract_excerpt":"Let $X$ be a locally compact abelian group with countable base and let $\\mathcal W$ be a convex cone of positive numerical functions on $X$ which is invariant under the group action and such that $(X,\\mathcal W)$ is a balayage space or (equivalently, if $1\\in \\mathcal W$) such that $\\mathcal W$ is the set of excessive functions of a Hunt process on $X$, $\\mathcal W$ separates points, every function in $\\mathcal W$ is the supremum of its continuous minorants in $\\mathcal W$, and there exist strictly positive continuous $u,v\\in \\mathcal W$ such that $u/v\\to 0$ at infinity.\n  Assuming that there "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2900","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.2900","created_at":"2026-05-18T02:37:52.760771+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2900v1","created_at":"2026-05-18T02:37:52.760771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2900","created_at":"2026-05-18T02:37:52.760771+00:00"},{"alias_kind":"pith_short_12","alias_value":"PTH4N35HCL4I","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PTH4N35HCL4IB2BT","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PTH4N35H","created_at":"2026-05-18T12:28:43.426989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA","json":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA.json","graph_json":"https://pith.science/api/pith-number/PTH4N35HCL4IB2BTGRBS323WZA/graph.json","events_json":"https://pith.science/api/pith-number/PTH4N35HCL4IB2BTGRBS323WZA/events.json","paper":"https://pith.science/paper/PTH4N35H"},"agent_actions":{"view_html":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA","download_json":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA.json","view_paper":"https://pith.science/paper/PTH4N35H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2900&json=true","fetch_graph":"https://pith.science/api/pith-number/PTH4N35HCL4IB2BTGRBS323WZA/graph.json","fetch_events":"https://pith.science/api/pith-number/PTH4N35HCL4IB2BTGRBS323WZA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA/action/storage_attestation","attest_author":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA/action/author_attestation","sign_citation":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA/action/citation_signature","submit_replication":"https://pith.science/pith/PTH4N35HCL4IB2BTGRBS323WZA/action/replication_record"}},"created_at":"2026-05-18T02:37:52.760771+00:00","updated_at":"2026-05-18T02:37:52.760771+00:00"}