{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z7GZXOFLHFUH3OMCSNOMF6SSKO","short_pith_number":"pith:Z7GZXOFL","schema_version":"1.0","canonical_sha256":"cfcd9bb8ab39687db982935cc2fa52538e9b70db33f621655b89a86d8e4e4835","source":{"kind":"arxiv","id":"1607.01505","version":3},"attestation_state":"computed","paper":{"title":"Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bego\\~na Barrios, Mar\\'ia Medina","submitted_at":"2016-07-06T08:13:35Z","abstract_excerpt":"We present some comparison results for solutions to certain non local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions, given by a zero Dirichlet datum on part of the complementary of the domain and zero Neumann data on the rest. These results represent a non local generalization of a Hopf's lemma for elliptic and parabolic problems with mixed conditions. In particular we prove the non local version of the results obtained by J. D\\'avila and J. D\\'avila-L. Dupaigne for the classical case respectively."},"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":"1607.01505","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-06T08:13:35Z","cross_cats_sorted":[],"title_canon_sha256":"fe7e81025546a319caf86971360cce7af43587b04c430ca449b38544a2b56378","abstract_canon_sha256":"c771b8e6582084df05b43a285949841c5c507feae6e9652714adcdafaf97c754"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:33.249061Z","signature_b64":"yvGRQMynSsmLS49vWu9zyQjtWPcW8dA6tyoBbYs7SQK+dpFORrRq77LiRGnzSeEt4uT++QFUJOI/Rne2AGYfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfcd9bb8ab39687db982935cc2fa52538e9b70db33f621655b89a86d8e4e4835","last_reissued_at":"2026-05-18T00:36:33.248455Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:33.248455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bego\\~na Barrios, Mar\\'ia Medina","submitted_at":"2016-07-06T08:13:35Z","abstract_excerpt":"We present some comparison results for solutions to certain non local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions, given by a zero Dirichlet datum on part of the complementary of the domain and zero Neumann data on the rest. These results represent a non local generalization of a Hopf's lemma for elliptic and parabolic problems with mixed conditions. In particular we prove the non local version of the results obtained by J. D\\'avila and J. D\\'avila-L. Dupaigne for the classical case respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01505","kind":"arxiv","version":3},"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":"1607.01505","created_at":"2026-05-18T00:36:33.248547+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.01505v3","created_at":"2026-05-18T00:36:33.248547+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01505","created_at":"2026-05-18T00:36:33.248547+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z7GZXOFLHFUH","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z7GZXOFLHFUH3OMC","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z7GZXOFL","created_at":"2026-05-18T12:30:53.716459+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/Z7GZXOFLHFUH3OMCSNOMF6SSKO","json":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO.json","graph_json":"https://pith.science/api/pith-number/Z7GZXOFLHFUH3OMCSNOMF6SSKO/graph.json","events_json":"https://pith.science/api/pith-number/Z7GZXOFLHFUH3OMCSNOMF6SSKO/events.json","paper":"https://pith.science/paper/Z7GZXOFL"},"agent_actions":{"view_html":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO","download_json":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO.json","view_paper":"https://pith.science/paper/Z7GZXOFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.01505&json=true","fetch_graph":"https://pith.science/api/pith-number/Z7GZXOFLHFUH3OMCSNOMF6SSKO/graph.json","fetch_events":"https://pith.science/api/pith-number/Z7GZXOFLHFUH3OMCSNOMF6SSKO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO/action/storage_attestation","attest_author":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO/action/author_attestation","sign_citation":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO/action/citation_signature","submit_replication":"https://pith.science/pith/Z7GZXOFLHFUH3OMCSNOMF6SSKO/action/replication_record"}},"created_at":"2026-05-18T00:36:33.248547+00:00","updated_at":"2026-05-18T00:36:33.248547+00:00"}