{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FRNL5J3FEVKNT6NJVX37SG56NI","short_pith_number":"pith:FRNL5J3F","canonical_record":{"source":{"id":"1411.2043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-07T21:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"bd339c709368d20435da8af76c296646a5b3bd604bf3f9584d45785e80257d3a","abstract_canon_sha256":"c157527f56e110fa9fc2e9c633dce00fcbf9b063e8357f4876f4f1b074b57511"},"schema_version":"1.0"},"canonical_sha256":"2c5abea7652554d9f9a9adf7f91bbe6a3e2d93e4116c95900bf32b655748c208","source":{"kind":"arxiv","id":"1411.2043","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2043","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2043v1","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2043","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"FRNL5J3FEVKN","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FRNL5J3FEVKNT6NJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FRNL5J3F","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FRNL5J3FEVKNT6NJVX37SG56NI","target":"record","payload":{"canonical_record":{"source":{"id":"1411.2043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-07T21:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"bd339c709368d20435da8af76c296646a5b3bd604bf3f9584d45785e80257d3a","abstract_canon_sha256":"c157527f56e110fa9fc2e9c633dce00fcbf9b063e8357f4876f4f1b074b57511"},"schema_version":"1.0"},"canonical_sha256":"2c5abea7652554d9f9a9adf7f91bbe6a3e2d93e4116c95900bf32b655748c208","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:19.642497Z","signature_b64":"5U4AXF/cvvTyap3A8kcqAzmUBTnoY+7qHF+SV6jV6YxXebqUQmxYeIm0gjNuPOPp4KhZ882DWLK4PwaW8HqtAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c5abea7652554d9f9a9adf7f91bbe6a3e2d93e4116c95900bf32b655748c208","last_reissued_at":"2026-05-18T02:38:19.641957Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:19.641957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.2043","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":"2026-05-18T02:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wgBN/U7x3eDzZe4uTBZeX7r0S5mk0tD1FrlasDKUgN7bTCsNSrkdPHZG8KiUXo5gRv7ksBDs1uosHyjmQUQeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:22:55.979758Z"},"content_sha256":"b54806b0c874024c496826341754cc308820e90931bb8231d716e2643c56a96b","schema_version":"1.0","event_id":"sha256:b54806b0c874024c496826341754cc308820e90931bb8231d716e2643c56a96b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FRNL5J3FEVKNT6NJVX37SG56NI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the regularity of CR mappings between CR manifolds of hypersurface type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ming Xiao, Shiferaw Berhanu","submitted_at":"2014-11-07T21:45:14Z","abstract_excerpt":"We prove smooth and analytic versions of the classical Schwarz reflection principle for transversal CR mappings between two CR manifolds of hypersurface type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2043","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":"2026-05-18T02:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y9ZZGlJdUbfhEIPnuikz4WSFPly3QwYUfYi3bPDdVFLV/F1ZzmrgFv0BBk6Wytoua2K4aXQoacrK4gM8T74WCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:22:55.980096Z"},"content_sha256":"b5d2aaaa9d2b69ff5882898756c03c2a48b9be91282ad3a872bce11cbd22c802","schema_version":"1.0","event_id":"sha256:b5d2aaaa9d2b69ff5882898756c03c2a48b9be91282ad3a872bce11cbd22c802"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRNL5J3FEVKNT6NJVX37SG56NI/bundle.json","state_url":"https://pith.science/pith/FRNL5J3FEVKNT6NJVX37SG56NI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRNL5J3FEVKNT6NJVX37SG56NI/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":"2026-06-09T14:22:55Z","links":{"resolver":"https://pith.science/pith/FRNL5J3FEVKNT6NJVX37SG56NI","bundle":"https://pith.science/pith/FRNL5J3FEVKNT6NJVX37SG56NI/bundle.json","state":"https://pith.science/pith/FRNL5J3FEVKNT6NJVX37SG56NI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRNL5J3FEVKNT6NJVX37SG56NI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FRNL5J3FEVKNT6NJVX37SG56NI","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":"c157527f56e110fa9fc2e9c633dce00fcbf9b063e8357f4876f4f1b074b57511","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-07T21:45:14Z","title_canon_sha256":"bd339c709368d20435da8af76c296646a5b3bd604bf3f9584d45785e80257d3a"},"schema_version":"1.0","source":{"id":"1411.2043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2043","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2043v1","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2043","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"FRNL5J3FEVKN","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FRNL5J3FEVKNT6NJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FRNL5J3F","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:b5d2aaaa9d2b69ff5882898756c03c2a48b9be91282ad3a872bce11cbd22c802","target":"graph","created_at":"2026-05-18T02:38:19Z","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 prove smooth and analytic versions of the classical Schwarz reflection principle for transversal CR mappings between two CR manifolds of hypersurface type.","authors_text":"Ming Xiao, Shiferaw Berhanu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-07T21:45:14Z","title":"On the regularity of CR mappings between CR manifolds of hypersurface type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2043","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:b54806b0c874024c496826341754cc308820e90931bb8231d716e2643c56a96b","target":"record","created_at":"2026-05-18T02:38:19Z","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":"c157527f56e110fa9fc2e9c633dce00fcbf9b063e8357f4876f4f1b074b57511","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-07T21:45:14Z","title_canon_sha256":"bd339c709368d20435da8af76c296646a5b3bd604bf3f9584d45785e80257d3a"},"schema_version":"1.0","source":{"id":"1411.2043","kind":"arxiv","version":1}},"canonical_sha256":"2c5abea7652554d9f9a9adf7f91bbe6a3e2d93e4116c95900bf32b655748c208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c5abea7652554d9f9a9adf7f91bbe6a3e2d93e4116c95900bf32b655748c208","first_computed_at":"2026-05-18T02:38:19.641957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:19.641957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5U4AXF/cvvTyap3A8kcqAzmUBTnoY+7qHF+SV6jV6YxXebqUQmxYeIm0gjNuPOPp4KhZ882DWLK4PwaW8HqtAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:19.642497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b54806b0c874024c496826341754cc308820e90931bb8231d716e2643c56a96b","sha256:b5d2aaaa9d2b69ff5882898756c03c2a48b9be91282ad3a872bce11cbd22c802"],"state_sha256":"be41bd8953e13ab9b7fb90894e9c8908d9e0e62c7b3e30ef4b4cdec02236fed6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SYE4PxTnl34cmmwJiWpsiUvCy6h+n7aLj+plP9Ev/+TKlAC/ymPgL0ZPRY5IdnT2hC0qoJ78BF0Gw9qKKWIzBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:22:55.982013Z","bundle_sha256":"bbef619313a79a8ab9036af9dabd8c616572b72ed46ec0fcb53e64f408d231e1"}}