{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QXBTCPK4OD2IZWDLXVBBIVERCF","short_pith_number":"pith:QXBTCPK4","canonical_record":{"source":{"id":"1105.0503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-03T07:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"6014fa9f54fb4e4f8d4a91972b5f16df3bfa3e25b7219ef849806356973544a8","abstract_canon_sha256":"fc00e54c0966f873508b232de2d22edd680c5301ab849239fb95b5dba16a649f"},"schema_version":"1.0"},"canonical_sha256":"85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190","source":{"kind":"arxiv","id":"1105.0503","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.0503","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.0503v1","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0503","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"QXBTCPK4OD2I","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QXBTCPK4OD2IZWDL","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QXBTCPK4","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QXBTCPK4OD2IZWDLXVBBIVERCF","target":"record","payload":{"canonical_record":{"source":{"id":"1105.0503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-03T07:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"6014fa9f54fb4e4f8d4a91972b5f16df3bfa3e25b7219ef849806356973544a8","abstract_canon_sha256":"fc00e54c0966f873508b232de2d22edd680c5301ab849239fb95b5dba16a649f"},"schema_version":"1.0"},"canonical_sha256":"85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:11.177808Z","signature_b64":"d2UM31Ss3NLx7Klwsfwu7+75J3iGEHmpZ8v6VAagFrs9p51D2zcgLiuXUKL9cdeduMLgDq12VdCNfGnbV13ZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190","last_reissued_at":"2026-05-18T04:23:11.177193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:11.177193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.0503","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":"2026-05-18T04:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3HTxFsDNHGxeSS+7lR1WQDvkJ8tHzXkfKKjxtubVfUaOv7P/pHn3duwOQTBHQzTOtXnznUoIEZlfBgyGHnXkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:40:22.806976Z"},"content_sha256":"732ab412eaf04781c3f96cefc8d73e4f28abf672f5f6da5e09076040162cd088","schema_version":"1.0","event_id":"sha256:732ab412eaf04781c3f96cefc8d73e4f28abf672f5f6da5e09076040162cd088"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QXBTCPK4OD2IZWDLXVBBIVERCF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant Angle Surfaces in $\\mathbb{S}^3(1) \\times \\mathbb{R}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Daguang Chen, Franki Dillen, Gangyi Chen, Hang Chen","submitted_at":"2011-05-03T07:52:19Z","abstract_excerpt":"In this article we study surfaces in $\\mathbb{S}^3(1) \\times \\mathbb{R}$ for which the $\\mathbb{R}$-direction makes a constant angle with the normal plane. We give a complete classification for such surfaces with parallel mean curvature vector."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0503","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":"2026-05-18T04:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LPcxYk8uV5K8xp/pvh2FfActUQRpD422iVn72gxmwEOZfYzHtvtxP9fsn/RODUdf3YW4gZEPU7rZ29BGczMoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:40:22.807329Z"},"content_sha256":"e99c2ea307c8302b0fab426fe67909ad5528dd287f81799a8ffdd835794d20a5","schema_version":"1.0","event_id":"sha256:e99c2ea307c8302b0fab426fe67909ad5528dd287f81799a8ffdd835794d20a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXBTCPK4OD2IZWDLXVBBIVERCF/bundle.json","state_url":"https://pith.science/pith/QXBTCPK4OD2IZWDLXVBBIVERCF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXBTCPK4OD2IZWDLXVBBIVERCF/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":"2026-06-01T12:40:22Z","links":{"resolver":"https://pith.science/pith/QXBTCPK4OD2IZWDLXVBBIVERCF","bundle":"https://pith.science/pith/QXBTCPK4OD2IZWDLXVBBIVERCF/bundle.json","state":"https://pith.science/pith/QXBTCPK4OD2IZWDLXVBBIVERCF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXBTCPK4OD2IZWDLXVBBIVERCF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QXBTCPK4OD2IZWDLXVBBIVERCF","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":"fc00e54c0966f873508b232de2d22edd680c5301ab849239fb95b5dba16a649f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-03T07:52:19Z","title_canon_sha256":"6014fa9f54fb4e4f8d4a91972b5f16df3bfa3e25b7219ef849806356973544a8"},"schema_version":"1.0","source":{"id":"1105.0503","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.0503","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.0503v1","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0503","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"QXBTCPK4OD2I","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QXBTCPK4OD2IZWDL","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QXBTCPK4","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:e99c2ea307c8302b0fab426fe67909ad5528dd287f81799a8ffdd835794d20a5","target":"graph","created_at":"2026-05-18T04:23:11Z","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 article we study surfaces in $\\mathbb{S}^3(1) \\times \\mathbb{R}$ for which the $\\mathbb{R}$-direction makes a constant angle with the normal plane. We give a complete classification for such surfaces with parallel mean curvature vector.","authors_text":"Daguang Chen, Franki Dillen, Gangyi Chen, Hang Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-03T07:52:19Z","title":"Constant Angle Surfaces in $\\mathbb{S}^3(1) \\times \\mathbb{R}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0503","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":"sha256:732ab412eaf04781c3f96cefc8d73e4f28abf672f5f6da5e09076040162cd088","target":"record","created_at":"2026-05-18T04:23:11Z","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":"fc00e54c0966f873508b232de2d22edd680c5301ab849239fb95b5dba16a649f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-03T07:52:19Z","title_canon_sha256":"6014fa9f54fb4e4f8d4a91972b5f16df3bfa3e25b7219ef849806356973544a8"},"schema_version":"1.0","source":{"id":"1105.0503","kind":"arxiv","version":1}},"canonical_sha256":"85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190","first_computed_at":"2026-05-18T04:23:11.177193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:11.177193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d2UM31Ss3NLx7Klwsfwu7+75J3iGEHmpZ8v6VAagFrs9p51D2zcgLiuXUKL9cdeduMLgDq12VdCNfGnbV13ZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:11.177808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.0503","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:732ab412eaf04781c3f96cefc8d73e4f28abf672f5f6da5e09076040162cd088","sha256:e99c2ea307c8302b0fab426fe67909ad5528dd287f81799a8ffdd835794d20a5"],"state_sha256":"427c50eb9edc33cee3cdb9677bb6eee2ac8d04f8a3c47901bfcc55eea7956e7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WF7PTVykigUSC/xdH3GDZCmu8Ymxy1jQtFlVM1HmIExXg/5u/owmi1MlN1Tig/k7xHEaiRTtF6eJh5p48LdyBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:40:22.809274Z","bundle_sha256":"3ee8b0b7260a8d40efe40cabd8c1b575d29c33d03b435dff46175b639eda8244"}}