{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WB6BIHDKY2ELEYOVH2R73DZYK7","short_pith_number":"pith:WB6BIHDK","canonical_record":{"source":{"id":"1402.3440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-14T11:30:57Z","cross_cats_sorted":[],"title_canon_sha256":"213335a714c5b64f547424f374d54519c1e9a38c7a0f4f004efaa9489530dc8f","abstract_canon_sha256":"b80582b67b73a86dcf9d0df3e45831e36d272094ec9fec1dbfb87638081766be"},"schema_version":"1.0"},"canonical_sha256":"b07c141c6ac688b261d53ea3fd8f3857d7ec7a9e9576c93ddd592df1f2d3a2d7","source":{"kind":"arxiv","id":"1402.3440","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3440","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3440v1","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3440","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"WB6BIHDKY2EL","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WB6BIHDKY2ELEYOV","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WB6BIHDK","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WB6BIHDKY2ELEYOVH2R73DZYK7","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-14T11:30:57Z","cross_cats_sorted":[],"title_canon_sha256":"213335a714c5b64f547424f374d54519c1e9a38c7a0f4f004efaa9489530dc8f","abstract_canon_sha256":"b80582b67b73a86dcf9d0df3e45831e36d272094ec9fec1dbfb87638081766be"},"schema_version":"1.0"},"canonical_sha256":"b07c141c6ac688b261d53ea3fd8f3857d7ec7a9e9576c93ddd592df1f2d3a2d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:38.087888Z","signature_b64":"wSudqeBPEg7Cw0I7WVknCeYuqJJWo77FwrlvGqxmHzcDO2whNHpB9TN83NIWnJMvYIXhzgrPgOIB3+z/Qc48DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07c141c6ac688b261d53ea3fd8f3857d7ec7a9e9576c93ddd592df1f2d3a2d7","last_reissued_at":"2026-05-18T01:44:38.087421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:38.087421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3440","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":"2026-05-18T01:44:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R7AYccizsUgYz7c3Ww9SY5oYMgIyFEyf0Wrdodv9HnULJYCByHll4WQQvR5nMQNAT9VlhKQzMaqPrebLzP+KAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:54:18.797509Z"},"content_sha256":"2469d2bb079c0f86de59e4c4ed30b6fba22bf04b1a70e3ffa568e44f415bce2d","schema_version":"1.0","event_id":"sha256:2469d2bb079c0f86de59e4c4ed30b6fba22bf04b1a70e3ffa568e44f415bce2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WB6BIHDKY2ELEYOVH2R73DZYK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moebius geometry of three dimensional Wintgen ideal submanifolds in S^5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Changping Wang, Tongzhu Li, Xiang Ma, Zhenxiao Xie","submitted_at":"2014-02-14T11:30:57Z","abstract_excerpt":"Wintgen ideal submanifolds in space forms are those ones attaining equality at every point in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the normal scalar curvature. This property is conformal invariant; hence we study them in the framework of Moebius geometry, and restrict to three dimensional Wintgen ideal submanifolds in S^5. In particular we give Moebius characterizations for minimal ones among them, which are also known as (3-dimensional) austere submanifolds (in 5-dimensional space forms)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3440","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":"2026-05-18T01:44:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VryobAit5EWbTaH6Kgzf7R2FO1M99XcPaezKxUxybteI0zGDgH0jJ1nQi2zRYzFLw47S7efQ/mHrsC+B2R53BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:54:18.798102Z"},"content_sha256":"14b57275ea7e2fa894d9053a805daec38069af4d38474d944bc8d59c88fa8bde","schema_version":"1.0","event_id":"sha256:14b57275ea7e2fa894d9053a805daec38069af4d38474d944bc8d59c88fa8bde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WB6BIHDKY2ELEYOVH2R73DZYK7/bundle.json","state_url":"https://pith.science/pith/WB6BIHDKY2ELEYOVH2R73DZYK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WB6BIHDKY2ELEYOVH2R73DZYK7/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":"2026-05-27T05:54:18Z","links":{"resolver":"https://pith.science/pith/WB6BIHDKY2ELEYOVH2R73DZYK7","bundle":"https://pith.science/pith/WB6BIHDKY2ELEYOVH2R73DZYK7/bundle.json","state":"https://pith.science/pith/WB6BIHDKY2ELEYOVH2R73DZYK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WB6BIHDKY2ELEYOVH2R73DZYK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WB6BIHDKY2ELEYOVH2R73DZYK7","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":"b80582b67b73a86dcf9d0df3e45831e36d272094ec9fec1dbfb87638081766be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-14T11:30:57Z","title_canon_sha256":"213335a714c5b64f547424f374d54519c1e9a38c7a0f4f004efaa9489530dc8f"},"schema_version":"1.0","source":{"id":"1402.3440","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3440","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3440v1","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3440","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"WB6BIHDKY2EL","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WB6BIHDKY2ELEYOV","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WB6BIHDK","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:14b57275ea7e2fa894d9053a805daec38069af4d38474d944bc8d59c88fa8bde","target":"graph","created_at":"2026-05-18T01:44:38Z","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":"Wintgen ideal submanifolds in space forms are those ones attaining equality at every point in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the normal scalar curvature. This property is conformal invariant; hence we study them in the framework of Moebius geometry, and restrict to three dimensional Wintgen ideal submanifolds in S^5. In particular we give Moebius characterizations for minimal ones among them, which are also known as (3-dimensional) austere submanifolds (in 5-dimensional space forms).","authors_text":"Changping Wang, Tongzhu Li, Xiang Ma, Zhenxiao Xie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-14T11:30:57Z","title":"Moebius geometry of three dimensional Wintgen ideal submanifolds in S^5"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3440","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":"sha256:2469d2bb079c0f86de59e4c4ed30b6fba22bf04b1a70e3ffa568e44f415bce2d","target":"record","created_at":"2026-05-18T01:44:38Z","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":"b80582b67b73a86dcf9d0df3e45831e36d272094ec9fec1dbfb87638081766be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-14T11:30:57Z","title_canon_sha256":"213335a714c5b64f547424f374d54519c1e9a38c7a0f4f004efaa9489530dc8f"},"schema_version":"1.0","source":{"id":"1402.3440","kind":"arxiv","version":1}},"canonical_sha256":"b07c141c6ac688b261d53ea3fd8f3857d7ec7a9e9576c93ddd592df1f2d3a2d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b07c141c6ac688b261d53ea3fd8f3857d7ec7a9e9576c93ddd592df1f2d3a2d7","first_computed_at":"2026-05-18T01:44:38.087421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:38.087421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wSudqeBPEg7Cw0I7WVknCeYuqJJWo77FwrlvGqxmHzcDO2whNHpB9TN83NIWnJMvYIXhzgrPgOIB3+z/Qc48DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:38.087888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3440","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2469d2bb079c0f86de59e4c4ed30b6fba22bf04b1a70e3ffa568e44f415bce2d","sha256:14b57275ea7e2fa894d9053a805daec38069af4d38474d944bc8d59c88fa8bde"],"state_sha256":"0b0425558a481b68701b9c7dbde0fc179f6efd18c1a8c129127dc0c90a6c284a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybXAkXqemTcdH4oCCbUEJWIHXeO8GpfhhrHuGe0mNnSITLSoTpm0D16nTWXfgLkiZnsFiEOY0L/GVqdYUJLBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:54:18.801102Z","bundle_sha256":"9be0f67440837bef8beb7c0b0920b37f0612d78aa83dacc679f36de05f9cd5f2"}}