{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UHZWEC4NM3L4RPQKBOJG2ILTR6","short_pith_number":"pith:UHZWEC4N","canonical_record":{"source":{"id":"1705.06255","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-17T16:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"727c90f5f9ab7e8c6b46f6306800f880f5017a6f69a600f60955ea125457ca4a","abstract_canon_sha256":"b28886ccfa24ce621d9185f9ebceb06d061b3dd971669ca8c68430c025560de9"},"schema_version":"1.0"},"canonical_sha256":"a1f3620b8d66d7c8be0a0b926d21738fb9d07a87d6e6530e3f4c5c76eb7319f3","source":{"kind":"arxiv","id":"1705.06255","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06255","created_at":"2026-05-18T00:26:37Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06255v3","created_at":"2026-05-18T00:26:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06255","created_at":"2026-05-18T00:26:37Z"},{"alias_kind":"pith_short_12","alias_value":"UHZWEC4NM3L4","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UHZWEC4NM3L4RPQK","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UHZWEC4N","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UHZWEC4NM3L4RPQKBOJG2ILTR6","target":"record","payload":{"canonical_record":{"source":{"id":"1705.06255","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-17T16:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"727c90f5f9ab7e8c6b46f6306800f880f5017a6f69a600f60955ea125457ca4a","abstract_canon_sha256":"b28886ccfa24ce621d9185f9ebceb06d061b3dd971669ca8c68430c025560de9"},"schema_version":"1.0"},"canonical_sha256":"a1f3620b8d66d7c8be0a0b926d21738fb9d07a87d6e6530e3f4c5c76eb7319f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:37.011679Z","signature_b64":"0V47j8X7ZLB4+ZYa8+8ddGNKAGH/pgAMaHxxS9qE+3Sv7UraY/7U8NnqPYQLy0LHnlgPRujJyFedXMCmPlUkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1f3620b8d66d7c8be0a0b926d21738fb9d07a87d6e6530e3f4c5c76eb7319f3","last_reissued_at":"2026-05-18T00:26:37.010943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:37.010943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.06255","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xKQDLavONGR8VdDRqqstgBZLaQOvrB5DRoQoxbkp0zvfGgIgWaUuBNeyUyiOZUKzPu8mF3CZbGv7qjd8G8H6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:59:59.505157Z"},"content_sha256":"8b2fbd9abb587c6a41742e22c39d71c553d5d085ef9a743e133b2df9e716ab4c","schema_version":"1.0","event_id":"sha256:8b2fbd9abb587c6a41742e22c39d71c553d5d085ef9a743e133b2df9e716ab4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UHZWEC4NM3L4RPQKBOJG2ILTR6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compactness analysis for free boundary minimal hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alessandro Carlotto, Ben Sharp, Lucas Ambrozio","submitted_at":"2017-05-17T16:37:23Z","abstract_excerpt":"We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions that ensure strong one-sheeted graphical subsequential convergence, discuss the limit behaviour when multi-sheeted convergence happens and derive various consequences in terms of finiteness and topological control."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06255","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XXiLL0dvIoIDUfJOD2eIiXqSvssCOC5J6YOxfU5tC5fFmaaA50serRL4MuHwtMzUJPUTf/oOCif307giS1XDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:59:59.505823Z"},"content_sha256":"1fe2509ca4f792c6c3f5742508eb631a2a59e0b394b3b0a585b3fbf461e5b420","schema_version":"1.0","event_id":"sha256:1fe2509ca4f792c6c3f5742508eb631a2a59e0b394b3b0a585b3fbf461e5b420"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6/bundle.json","state_url":"https://pith.science/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T06:59:59Z","links":{"resolver":"https://pith.science/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6","bundle":"https://pith.science/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6/bundle.json","state":"https://pith.science/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UHZWEC4NM3L4RPQKBOJG2ILTR6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UHZWEC4NM3L4RPQKBOJG2ILTR6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b28886ccfa24ce621d9185f9ebceb06d061b3dd971669ca8c68430c025560de9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-17T16:37:23Z","title_canon_sha256":"727c90f5f9ab7e8c6b46f6306800f880f5017a6f69a600f60955ea125457ca4a"},"schema_version":"1.0","source":{"id":"1705.06255","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06255","created_at":"2026-05-18T00:26:37Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06255v3","created_at":"2026-05-18T00:26:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06255","created_at":"2026-05-18T00:26:37Z"},{"alias_kind":"pith_short_12","alias_value":"UHZWEC4NM3L4","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UHZWEC4NM3L4RPQK","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UHZWEC4N","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:1fe2509ca4f792c6c3f5742508eb631a2a59e0b394b3b0a585b3fbf461e5b420","target":"graph","created_at":"2026-05-18T00:26:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions that ensure strong one-sheeted graphical subsequential convergence, discuss the limit behaviour when multi-sheeted convergence happens and derive various consequences in terms of finiteness and topological control.","authors_text":"Alessandro Carlotto, Ben Sharp, Lucas Ambrozio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-17T16:37:23Z","title":"Compactness analysis for free boundary minimal hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06255","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8b2fbd9abb587c6a41742e22c39d71c553d5d085ef9a743e133b2df9e716ab4c","target":"record","created_at":"2026-05-18T00:26:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b28886ccfa24ce621d9185f9ebceb06d061b3dd971669ca8c68430c025560de9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-17T16:37:23Z","title_canon_sha256":"727c90f5f9ab7e8c6b46f6306800f880f5017a6f69a600f60955ea125457ca4a"},"schema_version":"1.0","source":{"id":"1705.06255","kind":"arxiv","version":3}},"canonical_sha256":"a1f3620b8d66d7c8be0a0b926d21738fb9d07a87d6e6530e3f4c5c76eb7319f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1f3620b8d66d7c8be0a0b926d21738fb9d07a87d6e6530e3f4c5c76eb7319f3","first_computed_at":"2026-05-18T00:26:37.010943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:37.010943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0V47j8X7ZLB4+ZYa8+8ddGNKAGH/pgAMaHxxS9qE+3Sv7UraY/7U8NnqPYQLy0LHnlgPRujJyFedXMCmPlUkDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:37.011679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06255","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b2fbd9abb587c6a41742e22c39d71c553d5d085ef9a743e133b2df9e716ab4c","sha256:1fe2509ca4f792c6c3f5742508eb631a2a59e0b394b3b0a585b3fbf461e5b420"],"state_sha256":"a82eb1b98a95adb3d2a995d18f892b949e9a63baf04cd2568dd3595140bd271c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VgUTi8VUddSwQ9dPs/jZGKeLlMWkx7zBIH7Vx63bvZ3AcnCNySkkje1PTnJdkvrQefsPApW5hfyVj31rJBIRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:59:59.509108Z","bundle_sha256":"8a90fec29ed77485c2443727b8a45ab83f7dae0b9b068a1055814ad6870d944d"}}