{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6AVEUTRQ5BHCUFFSZXQXQ4AJJ3","short_pith_number":"pith:6AVEUTRQ","canonical_record":{"source":{"id":"1906.04738","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GM","submitted_at":"2019-06-11T11:12:46Z","cross_cats_sorted":[],"title_canon_sha256":"708ef1782a9c9731a01acea1131905f2567325c1188db388b0d5a15c6d101a93","abstract_canon_sha256":"42149f1aefaccb2a559725806baefb7a05ce06f0e036ce603ba031efaf731d1e"},"schema_version":"1.0"},"canonical_sha256":"f02a4a4e30e84e2a14b2cde17870094ecb1040019cf842da255d44fa05f8fa19","source":{"kind":"arxiv","id":"1906.04738","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04738","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04738v1","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04738","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"6AVEUTRQ5BHC","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6AVEUTRQ5BHCUFFS","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6AVEUTRQ","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6AVEUTRQ5BHCUFFSZXQXQ4AJJ3","target":"record","payload":{"canonical_record":{"source":{"id":"1906.04738","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GM","submitted_at":"2019-06-11T11:12:46Z","cross_cats_sorted":[],"title_canon_sha256":"708ef1782a9c9731a01acea1131905f2567325c1188db388b0d5a15c6d101a93","abstract_canon_sha256":"42149f1aefaccb2a559725806baefb7a05ce06f0e036ce603ba031efaf731d1e"},"schema_version":"1.0"},"canonical_sha256":"f02a4a4e30e84e2a14b2cde17870094ecb1040019cf842da255d44fa05f8fa19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:32.365300Z","signature_b64":"ibzTonabWyAvwr+ncdT0YleykPeo6Mtv5yIGOd8YkSF/iiQBgr94XT1PVWxsgrGKbOiIJutDecbzuKJG4Z5hAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f02a4a4e30e84e2a14b2cde17870094ecb1040019cf842da255d44fa05f8fa19","last_reissued_at":"2026-05-17T23:43:32.364848Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:32.364848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.04738","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":"2026-05-17T23:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u7sDTCSmjIGZPECfqa2dmMC1oA04s6wbUWBC5Dve3WuspusMLY98fzYKtVuufxzQOVkmegnSo4nl4Gp9eRR7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:43:08.056104Z"},"content_sha256":"18af8b7e286dd9704ffc8cd43b6fc748d23bd48ff47ac757f95c2df5cac28eab","schema_version":"1.0","event_id":"sha256:18af8b7e286dd9704ffc8cd43b6fc748d23bd48ff47ac757f95c2df5cac28eab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6AVEUTRQ5BHCUFFSZXQXQ4AJJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Normal curves on a smooth immersed surface","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Absos Ali Shaikh, Mohamd Saleem Lone, Pinaki Ranjan Ghosh","submitted_at":"2019-06-11T11:12:46Z","abstract_excerpt":"The aim of this paper is to investigate the sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the the deviations of the tangential and normal components of the curve with respect to the given isometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04738","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":"2026-05-17T23:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bQyAjtuG/QW6O0TDgsvf9g/XcXKJM++9hB5lsjKHo+kCb0L8XitgsPX2G1NxdSuMdCyIW/5cS5snljXiJwmhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:43:08.056594Z"},"content_sha256":"d7694fbeb1f38a9200832720d1ee0adc041a4dcca3d42af44ae9a922739c73bb","schema_version":"1.0","event_id":"sha256:d7694fbeb1f38a9200832720d1ee0adc041a4dcca3d42af44ae9a922739c73bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3/bundle.json","state_url":"https://pith.science/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3/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":"2026-05-26T04:43:08Z","links":{"resolver":"https://pith.science/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3","bundle":"https://pith.science/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3/bundle.json","state":"https://pith.science/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6AVEUTRQ5BHCUFFSZXQXQ4AJJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6AVEUTRQ5BHCUFFSZXQXQ4AJJ3","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":"42149f1aefaccb2a559725806baefb7a05ce06f0e036ce603ba031efaf731d1e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GM","submitted_at":"2019-06-11T11:12:46Z","title_canon_sha256":"708ef1782a9c9731a01acea1131905f2567325c1188db388b0d5a15c6d101a93"},"schema_version":"1.0","source":{"id":"1906.04738","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04738","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04738v1","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04738","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"6AVEUTRQ5BHC","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6AVEUTRQ5BHCUFFS","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6AVEUTRQ","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:d7694fbeb1f38a9200832720d1ee0adc041a4dcca3d42af44ae9a922739c73bb","target":"graph","created_at":"2026-05-17T23:43:32Z","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":"The aim of this paper is to investigate the sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the the deviations of the tangential and normal components of the curve with respect to the given isometry.","authors_text":"Absos Ali Shaikh, Mohamd Saleem Lone, Pinaki Ranjan Ghosh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GM","submitted_at":"2019-06-11T11:12:46Z","title":"Normal curves on a smooth immersed surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04738","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":"sha256:18af8b7e286dd9704ffc8cd43b6fc748d23bd48ff47ac757f95c2df5cac28eab","target":"record","created_at":"2026-05-17T23:43:32Z","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":"42149f1aefaccb2a559725806baefb7a05ce06f0e036ce603ba031efaf731d1e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GM","submitted_at":"2019-06-11T11:12:46Z","title_canon_sha256":"708ef1782a9c9731a01acea1131905f2567325c1188db388b0d5a15c6d101a93"},"schema_version":"1.0","source":{"id":"1906.04738","kind":"arxiv","version":1}},"canonical_sha256":"f02a4a4e30e84e2a14b2cde17870094ecb1040019cf842da255d44fa05f8fa19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f02a4a4e30e84e2a14b2cde17870094ecb1040019cf842da255d44fa05f8fa19","first_computed_at":"2026-05-17T23:43:32.364848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:32.364848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ibzTonabWyAvwr+ncdT0YleykPeo6Mtv5yIGOd8YkSF/iiQBgr94XT1PVWxsgrGKbOiIJutDecbzuKJG4Z5hAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:32.365300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.04738","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18af8b7e286dd9704ffc8cd43b6fc748d23bd48ff47ac757f95c2df5cac28eab","sha256:d7694fbeb1f38a9200832720d1ee0adc041a4dcca3d42af44ae9a922739c73bb"],"state_sha256":"635fac7971f7cc7a49ceea2c231d5891c4605c46ca8c5eb1a5b3e7db6320e5a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xALNzjbK3jJ4x3C4Epa/+KgnQ+ujTkIJuVGi8ZjyfRCNgrkJL3EVZByzhN4bbKBmLqaAO8NVi1s8FEPprWjtDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:43:08.059196Z","bundle_sha256":"f18561b3e6b8a209fefe404270172f706c99e98ea889f12e6a4f619b604c88c2"}}