{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WWIBTAIE44BDSA2XEGABMMASIO","short_pith_number":"pith:WWIBTAIE","canonical_record":{"source":{"id":"1010.5681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-27T13:28:33Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"c6e70be0171a9edd7d20dc6a2efe5540ad89c85b4b3ea779c92674bab24185d9","abstract_canon_sha256":"7db961cb0f572de7c5f69eb69ece3dc96f3752528b45bd07030ff2d2e7cc04a8"},"schema_version":"1.0"},"canonical_sha256":"b590198104e702390357218016301243bfeb855bccb3f339a6e6e64d033ee5be","source":{"kind":"arxiv","id":"1010.5681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5681","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5681v1","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5681","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"WWIBTAIE44BD","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WWIBTAIE44BDSA2X","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WWIBTAIE","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WWIBTAIE44BDSA2XEGABMMASIO","target":"record","payload":{"canonical_record":{"source":{"id":"1010.5681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-27T13:28:33Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"c6e70be0171a9edd7d20dc6a2efe5540ad89c85b4b3ea779c92674bab24185d9","abstract_canon_sha256":"7db961cb0f572de7c5f69eb69ece3dc96f3752528b45bd07030ff2d2e7cc04a8"},"schema_version":"1.0"},"canonical_sha256":"b590198104e702390357218016301243bfeb855bccb3f339a6e6e64d033ee5be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:16.178760Z","signature_b64":"N35KLEv7SDwTTAjbfWu2nsUQrGwTamUhr6IGCTNUeWpR3MFu9ahyrijd3qNiXcHwMHW7FcJavxh8GcJVKD+2Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b590198104e702390357218016301243bfeb855bccb3f339a6e6e64d033ee5be","last_reissued_at":"2026-05-18T04:38:16.178248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:16.178248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.5681","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":"2026-05-18T04:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C5J6cW1Ijprs8gDgZpbj1iSwfAw5tvQ7x4vdkq+g0Hx8lueNVtH3UbnJmcRC6u4iRb/fTpfSBjnlu110f6LMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:23:25.993505Z"},"content_sha256":"24fc56c652340753537bf9e78f2b2bc0d410825d0fce97b7ae8f6b445b842285","schema_version":"1.0","event_id":"sha256:24fc56c652340753537bf9e78f2b2bc0d410825d0fce97b7ae8f6b445b842285"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WWIBTAIE44BDSA2XEGABMMASIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projective invariants of CR-hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"C. Hammond, C. Robles","submitted_at":"2010-10-27T13:28:33Z","abstract_excerpt":"We study the equivalence problem under projective transformation for CR-hypersurfaces of complex projective space. A complete set of projective differential invariants for analytic hypersurfaces is given. The self-dual strongly C-linearly convex hypersurfaces are characterized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5681","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":"2026-05-18T04:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUaT18A0d1IIR/SsXjOrD722e4l+fQ/CFs77inDBYQaRtvZYFGhjhC0SChsXiFwSv+qxHAHLWwpJCtZTd2aSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:23:25.993995Z"},"content_sha256":"b2cba825b52a61d7d13c2fac348a628af26eae77d7fc424b649a6dd44a14857f","schema_version":"1.0","event_id":"sha256:b2cba825b52a61d7d13c2fac348a628af26eae77d7fc424b649a6dd44a14857f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WWIBTAIE44BDSA2XEGABMMASIO/bundle.json","state_url":"https://pith.science/pith/WWIBTAIE44BDSA2XEGABMMASIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WWIBTAIE44BDSA2XEGABMMASIO/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":"2026-05-31T15:23:25Z","links":{"resolver":"https://pith.science/pith/WWIBTAIE44BDSA2XEGABMMASIO","bundle":"https://pith.science/pith/WWIBTAIE44BDSA2XEGABMMASIO/bundle.json","state":"https://pith.science/pith/WWIBTAIE44BDSA2XEGABMMASIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WWIBTAIE44BDSA2XEGABMMASIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WWIBTAIE44BDSA2XEGABMMASIO","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":"7db961cb0f572de7c5f69eb69ece3dc96f3752528b45bd07030ff2d2e7cc04a8","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-27T13:28:33Z","title_canon_sha256":"c6e70be0171a9edd7d20dc6a2efe5540ad89c85b4b3ea779c92674bab24185d9"},"schema_version":"1.0","source":{"id":"1010.5681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5681","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5681v1","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5681","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"WWIBTAIE44BD","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WWIBTAIE44BDSA2X","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WWIBTAIE","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:b2cba825b52a61d7d13c2fac348a628af26eae77d7fc424b649a6dd44a14857f","target":"graph","created_at":"2026-05-18T04:38:16Z","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 study the equivalence problem under projective transformation for CR-hypersurfaces of complex projective space. A complete set of projective differential invariants for analytic hypersurfaces is given. The self-dual strongly C-linearly convex hypersurfaces are characterized.","authors_text":"C. Hammond, C. Robles","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-27T13:28:33Z","title":"Projective invariants of CR-hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5681","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":"sha256:24fc56c652340753537bf9e78f2b2bc0d410825d0fce97b7ae8f6b445b842285","target":"record","created_at":"2026-05-18T04:38:16Z","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":"7db961cb0f572de7c5f69eb69ece3dc96f3752528b45bd07030ff2d2e7cc04a8","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-27T13:28:33Z","title_canon_sha256":"c6e70be0171a9edd7d20dc6a2efe5540ad89c85b4b3ea779c92674bab24185d9"},"schema_version":"1.0","source":{"id":"1010.5681","kind":"arxiv","version":1}},"canonical_sha256":"b590198104e702390357218016301243bfeb855bccb3f339a6e6e64d033ee5be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b590198104e702390357218016301243bfeb855bccb3f339a6e6e64d033ee5be","first_computed_at":"2026-05-18T04:38:16.178248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:16.178248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N35KLEv7SDwTTAjbfWu2nsUQrGwTamUhr6IGCTNUeWpR3MFu9ahyrijd3qNiXcHwMHW7FcJavxh8GcJVKD+2Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:16.178760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24fc56c652340753537bf9e78f2b2bc0d410825d0fce97b7ae8f6b445b842285","sha256:b2cba825b52a61d7d13c2fac348a628af26eae77d7fc424b649a6dd44a14857f"],"state_sha256":"9a75ee5b7152bfa8f7db35b596ce60a23f1656fcabc7cdb41848d5529d1c4958"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Qtm/chVAkDWqudoE3JxCxSNXfC+lqcEVTaFwUHD9AQwGNovMUnTSSC/9JhP7GNsRhG4pxmjqO4ZPry3uIcACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:23:25.997353Z","bundle_sha256":"77340b5d88c20ab9b04bb9cf35729c64e6a8e8832875a122bd899a2f5ce7fc97"}}