{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MCY23LAAJCZOFQMB7XYIR4NFF7","short_pith_number":"pith:MCY23LAA","canonical_record":{"source":{"id":"1701.04981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-18T08:23:15Z","cross_cats_sorted":[],"title_canon_sha256":"48a326c141059de895bd542a61abbc8984bd67f90d81c358d45cb75a76d9cc61","abstract_canon_sha256":"54b65f9f12056e0cb409d8688218dbc60c434c484ffe96d7080a06410e558f81"},"schema_version":"1.0"},"canonical_sha256":"60b1adac0048b2e2c181fdf088f1a52ff2c3753a0e73a6fe34741664cdafa3fa","source":{"kind":"arxiv","id":"1701.04981","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04981","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04981v1","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04981","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"pith_short_12","alias_value":"MCY23LAAJCZO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MCY23LAAJCZOFQMB","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MCY23LAA","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MCY23LAAJCZOFQMB7XYIR4NFF7","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-18T08:23:15Z","cross_cats_sorted":[],"title_canon_sha256":"48a326c141059de895bd542a61abbc8984bd67f90d81c358d45cb75a76d9cc61","abstract_canon_sha256":"54b65f9f12056e0cb409d8688218dbc60c434c484ffe96d7080a06410e558f81"},"schema_version":"1.0"},"canonical_sha256":"60b1adac0048b2e2c181fdf088f1a52ff2c3753a0e73a6fe34741664cdafa3fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:33.371237Z","signature_b64":"GWhwOGvg7wM/BNCLb1OTnvDop32vzaFfnqVxATzN/N8FvgItFpjc2KK2UhupuliZgaALS/zFAOKy34DjSHVrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60b1adac0048b2e2c181fdf088f1a52ff2c3753a0e73a6fe34741664cdafa3fa","last_reissued_at":"2026-05-18T00:52:33.370869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:33.370869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04981","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZY7n/ApjeDQnLzhUbPAsIDWZr9Dq08Qkpmk7HlXJIOuCyiJ1wuhefiP7VbHHQay+GTykIg1vXbS8uE815c4AAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:58:02.043090Z"},"content_sha256":"ac73b00b3828122d9a6bee82206880a2827b578a3d905c5e58d652fb9134f845","schema_version":"1.0","event_id":"sha256:ac73b00b3828122d9a6bee82206880a2827b578a3d905c5e58d652fb9134f845"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MCY23LAAJCZOFQMB7XYIR4NFF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Changwei Xiong, Haizhong Li","submitted_at":"2017-01-18T08:23:15Z","abstract_excerpt":"In this paper we provide a pinching condition for the characterization of the totally geodesic disk and the rotational annulus among minimal surfaces with free boundary in geodesic balls of three-dimensional hyperbolic space and hemisphere. The pinching condition involves the length of the second fundamental form, the support function of the surface, and a natural potential function in hyperbolic space and hemisphere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04981","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZPFvw2XhsKmqtOEoAtGRpfz4M3Rzg6DSJoRuEdAduszuLGtS8xI5AAr1u7aY38+MXKEItZPKVlsoN1YRez/4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:58:02.043463Z"},"content_sha256":"36fe353d262a70994409f4e56bfddcc0e655c2ea90bf4e1abf42435db3f0d13e","schema_version":"1.0","event_id":"sha256:36fe353d262a70994409f4e56bfddcc0e655c2ea90bf4e1abf42435db3f0d13e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MCY23LAAJCZOFQMB7XYIR4NFF7/bundle.json","state_url":"https://pith.science/pith/MCY23LAAJCZOFQMB7XYIR4NFF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MCY23LAAJCZOFQMB7XYIR4NFF7/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":"2026-05-28T03:58:02Z","links":{"resolver":"https://pith.science/pith/MCY23LAAJCZOFQMB7XYIR4NFF7","bundle":"https://pith.science/pith/MCY23LAAJCZOFQMB7XYIR4NFF7/bundle.json","state":"https://pith.science/pith/MCY23LAAJCZOFQMB7XYIR4NFF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MCY23LAAJCZOFQMB7XYIR4NFF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MCY23LAAJCZOFQMB7XYIR4NFF7","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":"54b65f9f12056e0cb409d8688218dbc60c434c484ffe96d7080a06410e558f81","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-18T08:23:15Z","title_canon_sha256":"48a326c141059de895bd542a61abbc8984bd67f90d81c358d45cb75a76d9cc61"},"schema_version":"1.0","source":{"id":"1701.04981","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04981","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04981v1","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04981","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"pith_short_12","alias_value":"MCY23LAAJCZO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MCY23LAAJCZOFQMB","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MCY23LAA","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:36fe353d262a70994409f4e56bfddcc0e655c2ea90bf4e1abf42435db3f0d13e","target":"graph","created_at":"2026-05-18T00:52:33Z","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":"In this paper we provide a pinching condition for the characterization of the totally geodesic disk and the rotational annulus among minimal surfaces with free boundary in geodesic balls of three-dimensional hyperbolic space and hemisphere. The pinching condition involves the length of the second fundamental form, the support function of the surface, and a natural potential function in hyperbolic space and hemisphere.","authors_text":"Changwei Xiong, Haizhong Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-18T08:23:15Z","title":"A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04981","kind":"arxiv","version":1},"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:ac73b00b3828122d9a6bee82206880a2827b578a3d905c5e58d652fb9134f845","target":"record","created_at":"2026-05-18T00:52:33Z","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":"54b65f9f12056e0cb409d8688218dbc60c434c484ffe96d7080a06410e558f81","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-18T08:23:15Z","title_canon_sha256":"48a326c141059de895bd542a61abbc8984bd67f90d81c358d45cb75a76d9cc61"},"schema_version":"1.0","source":{"id":"1701.04981","kind":"arxiv","version":1}},"canonical_sha256":"60b1adac0048b2e2c181fdf088f1a52ff2c3753a0e73a6fe34741664cdafa3fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60b1adac0048b2e2c181fdf088f1a52ff2c3753a0e73a6fe34741664cdafa3fa","first_computed_at":"2026-05-18T00:52:33.370869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:33.370869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GWhwOGvg7wM/BNCLb1OTnvDop32vzaFfnqVxATzN/N8FvgItFpjc2KK2UhupuliZgaALS/zFAOKy34DjSHVrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:33.371237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04981","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac73b00b3828122d9a6bee82206880a2827b578a3d905c5e58d652fb9134f845","sha256:36fe353d262a70994409f4e56bfddcc0e655c2ea90bf4e1abf42435db3f0d13e"],"state_sha256":"fb69d3bab429c02dee33df79bca1e69c589d9904e6e8284d11d4e7b8bb33705c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BSwbLxhME7p1cK+6mGbIAkX7IB5e8/erMveHFWSZ9ktmdc8dHccSDvhCjmJEoYWgXm28WinZ2eQ07UNph8QLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:58:02.045544Z","bundle_sha256":"118d5ffeb6a9623f4ffe44e722dac7ceca8b5372ccfa33658a3b64eeafcc3650"}}