{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QPN2OWQXC3DCYUH2NKV2ZBTH6S","short_pith_number":"pith:QPN2OWQX","schema_version":"1.0","canonical_sha256":"83dba75a1716c62c50fa6aabac8667f482f80eb1da1e0790b986e071a50a9838","source":{"kind":"arxiv","id":"1603.05785","version":1},"attestation_state":"computed","paper":{"title":"A note on fractional $p$-Laplacian problems with singular weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Inbo Sim, Kanishka Perera, Ky Ho, Marco Squassina","submitted_at":"2016-03-18T07:32:28Z","abstract_excerpt":"We study a class of fractional $p$-Laplacian problems with weights which are possibly singular on the boundary of the domain. We provide existence and multiplicity results as well as characterizations of critical groups and related applications."},"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":"1603.05785","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-18T07:32:28Z","cross_cats_sorted":[],"title_canon_sha256":"177bda1085594f4dd03f56ecd0c8fbeddff4631752ca9502c3f29d2c8c71021d","abstract_canon_sha256":"62eaa302806a9dde85499d36b5cfddeeb715b907ce8b3a3c989b33e473ab991d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:53.525187Z","signature_b64":"pR9BbnHx8PrP/8+Z2/ORI+I5SV0NNlmlWCFuYRoFkK9f3EAIIgrr3v+8VRCIq+oVYcWSPa0mBxfAdEscYAKlAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83dba75a1716c62c50fa6aabac8667f482f80eb1da1e0790b986e071a50a9838","last_reissued_at":"2026-05-18T01:18:53.524707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:53.524707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on fractional $p$-Laplacian problems with singular weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Inbo Sim, Kanishka Perera, Ky Ho, Marco Squassina","submitted_at":"2016-03-18T07:32:28Z","abstract_excerpt":"We study a class of fractional $p$-Laplacian problems with weights which are possibly singular on the boundary of the domain. We provide existence and multiplicity results as well as characterizations of critical groups and related applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05785","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":"1603.05785","created_at":"2026-05-18T01:18:53.524777+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05785v1","created_at":"2026-05-18T01:18:53.524777+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05785","created_at":"2026-05-18T01:18:53.524777+00:00"},{"alias_kind":"pith_short_12","alias_value":"QPN2OWQXC3DC","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"QPN2OWQXC3DCYUH2","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"QPN2OWQX","created_at":"2026-05-18T12:30:41.710351+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/QPN2OWQXC3DCYUH2NKV2ZBTH6S","json":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S.json","graph_json":"https://pith.science/api/pith-number/QPN2OWQXC3DCYUH2NKV2ZBTH6S/graph.json","events_json":"https://pith.science/api/pith-number/QPN2OWQXC3DCYUH2NKV2ZBTH6S/events.json","paper":"https://pith.science/paper/QPN2OWQX"},"agent_actions":{"view_html":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S","download_json":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S.json","view_paper":"https://pith.science/paper/QPN2OWQX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05785&json=true","fetch_graph":"https://pith.science/api/pith-number/QPN2OWQXC3DCYUH2NKV2ZBTH6S/graph.json","fetch_events":"https://pith.science/api/pith-number/QPN2OWQXC3DCYUH2NKV2ZBTH6S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S/action/storage_attestation","attest_author":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S/action/author_attestation","sign_citation":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S/action/citation_signature","submit_replication":"https://pith.science/pith/QPN2OWQXC3DCYUH2NKV2ZBTH6S/action/replication_record"}},"created_at":"2026-05-18T01:18:53.524777+00:00","updated_at":"2026-05-18T01:18:53.524777+00:00"}