{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6BRWKFGYKAEIAKWT3KTJAVEWJM","short_pith_number":"pith:6BRWKFGY","schema_version":"1.0","canonical_sha256":"f0636514d85008802ad3daa69054964b3d3733a3b9292678d422cd6446837f4b","source":{"kind":"arxiv","id":"1906.08485","version":1},"attestation_state":"computed","paper":{"title":"Compactness and generic finiteness for free boundary minimal hypersurfaces (II)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.GT"],"primary_cat":"math.DG","authors_text":"Zhichao Wang","submitted_at":"2019-06-20T08:00:47Z","abstract_excerpt":"Given a compact Riemannian manifold with boundary, we prove that the limit of a sequence of embedded, almost properly embedded free boundary minimal hypersurfaces, with uniform area and Morse index upper bound, always inherits a non-trivial Jacobi field. To approach this, we prove a one-sided Harnack inequality for minimal graphs on balls with many holes."},"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":"1906.08485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-06-20T08:00:47Z","cross_cats_sorted":["math.AP","math.GT"],"title_canon_sha256":"b569efdb55f469994483a76fb26fcc9081338b9f41a462ef1572537c28a476d3","abstract_canon_sha256":"65b9da46a16cfec1ee913ccc9b4fa096f6d0ecc9217831c135d3986cda54bad8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:52.352513Z","signature_b64":"dzx4vcgpefra7GwATFjiXd5A1vQ1yx/2g30vGP2Ujf0Cd0N8pDzK1KttbAV5YUWBwUndaog3mE1n+HnwojOYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0636514d85008802ad3daa69054964b3d3733a3b9292678d422cd6446837f4b","last_reissued_at":"2026-05-17T23:42:52.352017Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:52.352017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compactness and generic finiteness for free boundary minimal hypersurfaces (II)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.GT"],"primary_cat":"math.DG","authors_text":"Zhichao Wang","submitted_at":"2019-06-20T08:00:47Z","abstract_excerpt":"Given a compact Riemannian manifold with boundary, we prove that the limit of a sequence of embedded, almost properly embedded free boundary minimal hypersurfaces, with uniform area and Morse index upper bound, always inherits a non-trivial Jacobi field. To approach this, we prove a one-sided Harnack inequality for minimal graphs on balls with many holes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08485","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":"1906.08485","created_at":"2026-05-17T23:42:52.352083+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.08485v1","created_at":"2026-05-17T23:42:52.352083+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08485","created_at":"2026-05-17T23:42:52.352083+00:00"},{"alias_kind":"pith_short_12","alias_value":"6BRWKFGYKAEI","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"6BRWKFGYKAEIAKWT","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"6BRWKFGY","created_at":"2026-05-18T12:33:10.108867+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/6BRWKFGYKAEIAKWT3KTJAVEWJM","json":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM.json","graph_json":"https://pith.science/api/pith-number/6BRWKFGYKAEIAKWT3KTJAVEWJM/graph.json","events_json":"https://pith.science/api/pith-number/6BRWKFGYKAEIAKWT3KTJAVEWJM/events.json","paper":"https://pith.science/paper/6BRWKFGY"},"agent_actions":{"view_html":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM","download_json":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM.json","view_paper":"https://pith.science/paper/6BRWKFGY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.08485&json=true","fetch_graph":"https://pith.science/api/pith-number/6BRWKFGYKAEIAKWT3KTJAVEWJM/graph.json","fetch_events":"https://pith.science/api/pith-number/6BRWKFGYKAEIAKWT3KTJAVEWJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM/action/storage_attestation","attest_author":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM/action/author_attestation","sign_citation":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM/action/citation_signature","submit_replication":"https://pith.science/pith/6BRWKFGYKAEIAKWT3KTJAVEWJM/action/replication_record"}},"created_at":"2026-05-17T23:42:52.352083+00:00","updated_at":"2026-05-17T23:42:52.352083+00:00"}