{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5BOI5ERXQ2O2TMQKUXY6NXVX2P","short_pith_number":"pith:5BOI5ERX","schema_version":"1.0","canonical_sha256":"e85c8e9237869da9b20aa5f1e6deb7d3e2561f627c08bead65351d20c38b01d0","source":{"kind":"arxiv","id":"1405.7842","version":1},"attestation_state":"computed","paper":{"title":"Nonlocal Harnack inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnese Di Castro, Giampiero Palatucci, Tuomo Kuusi","submitted_at":"2014-05-30T12:54:48Z","abstract_excerpt":"We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian."},"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":"1405.7842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-30T12:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"2bb93bd0654d1a30892b2c6162179af1633019feeb8ddcdd0fad90438137b0f7","abstract_canon_sha256":"0b0ceee079c49bb31a411d847334bdbe761c4c6fef8c06c84048c90ad6b043e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:49.673077Z","signature_b64":"F8/NrUZOnwVhHmoKRHryaeK2ToVpbJIELHPCVcnG0RDaMWLY+b/fZAr6a6S7ziPaS2R7S/b4RV1Y0/elZpNoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e85c8e9237869da9b20aa5f1e6deb7d3e2561f627c08bead65351d20c38b01d0","last_reissued_at":"2026-05-18T02:50:49.672658Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:49.672658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlocal Harnack inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnese Di Castro, Giampiero Palatucci, Tuomo Kuusi","submitted_at":"2014-05-30T12:54:48Z","abstract_excerpt":"We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7842","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":"1405.7842","created_at":"2026-05-18T02:50:49.672708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.7842v1","created_at":"2026-05-18T02:50:49.672708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7842","created_at":"2026-05-18T02:50:49.672708+00:00"},{"alias_kind":"pith_short_12","alias_value":"5BOI5ERXQ2O2","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5BOI5ERXQ2O2TMQK","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5BOI5ERX","created_at":"2026-05-18T12:28:14.216126+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/5BOI5ERXQ2O2TMQKUXY6NXVX2P","json":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P.json","graph_json":"https://pith.science/api/pith-number/5BOI5ERXQ2O2TMQKUXY6NXVX2P/graph.json","events_json":"https://pith.science/api/pith-number/5BOI5ERXQ2O2TMQKUXY6NXVX2P/events.json","paper":"https://pith.science/paper/5BOI5ERX"},"agent_actions":{"view_html":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P","download_json":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P.json","view_paper":"https://pith.science/paper/5BOI5ERX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.7842&json=true","fetch_graph":"https://pith.science/api/pith-number/5BOI5ERXQ2O2TMQKUXY6NXVX2P/graph.json","fetch_events":"https://pith.science/api/pith-number/5BOI5ERXQ2O2TMQKUXY6NXVX2P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P/action/storage_attestation","attest_author":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P/action/author_attestation","sign_citation":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P/action/citation_signature","submit_replication":"https://pith.science/pith/5BOI5ERXQ2O2TMQKUXY6NXVX2P/action/replication_record"}},"created_at":"2026-05-18T02:50:49.672708+00:00","updated_at":"2026-05-18T02:50:49.672708+00:00"}