{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4IDXLQDYMX5IBVD6CJNMNDOHS6","short_pith_number":"pith:4IDXLQDY","canonical_record":{"source":{"id":"1307.8359","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-31T15:39:13Z","cross_cats_sorted":[],"title_canon_sha256":"2f65c672d914fe0c39e51e51a174d96b32d56c87d5396e654e47eb38173e2874","abstract_canon_sha256":"38c4ee09f281df511e6cf6afb970fc1723fa6257d176c1cc5f8b059d786f4cf8"},"schema_version":"1.0"},"canonical_sha256":"e20775c07865fa80d47e125ac68dc797ac7c70947bbb5d513d909ff5850b1771","source":{"kind":"arxiv","id":"1307.8359","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.8359","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.8359v3","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8359","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"4IDXLQDYMX5I","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4IDXLQDYMX5IBVD6","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4IDXLQDY","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4IDXLQDYMX5IBVD6CJNMNDOHS6","target":"record","payload":{"canonical_record":{"source":{"id":"1307.8359","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-31T15:39:13Z","cross_cats_sorted":[],"title_canon_sha256":"2f65c672d914fe0c39e51e51a174d96b32d56c87d5396e654e47eb38173e2874","abstract_canon_sha256":"38c4ee09f281df511e6cf6afb970fc1723fa6257d176c1cc5f8b059d786f4cf8"},"schema_version":"1.0"},"canonical_sha256":"e20775c07865fa80d47e125ac68dc797ac7c70947bbb5d513d909ff5850b1771","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:50.098938Z","signature_b64":"U8+v70Zp5XN0vfNXLCNjNCoLvBj3JhUoOrXZGlqTaazUJIiKpI97G1lJKOkuo/rGC0iWLWSAwtDUh555J92WAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e20775c07865fa80d47e125ac68dc797ac7c70947bbb5d513d909ff5850b1771","last_reissued_at":"2026-05-18T02:18:50.098227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:50.098227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.8359","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Djg+dt6j0a+Mdn1fATBSjp0XzEYcXH6uqRq4jXzmLBlH0p2Nj02jIXu6xdPFF4ItbHxYPBoKeG8bRR1DOex+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:35:20.214853Z"},"content_sha256":"5361b1f4dd9f77fc254f97536b95393c882803a721df29aa61ef72ea482e48a8","schema_version":"1.0","event_id":"sha256:5361b1f4dd9f77fc254f97536b95393c882803a721df29aa61ef72ea482e48a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4IDXLQDYMX5IBVD6CJNMNDOHS6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric properties of semitube domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"{\\L}ukasz Kosi\\'nski, Tomasz Warszawski, W{\\l}odzimierz Zwonek","submitted_at":"2013-07-31T15:39:13Z","abstract_excerpt":"In the paper we study the geometry of semitube domains in $\\mathbb C^2$. In particular, we extend the result of Burgu\\'es and Dwilewicz for semitube domains dropping out the smoothness assumption. We also prove various properties of non-smooth pseudoconvex semitube domains obtaining among others a relation between pseudoconvexity of a semitube domain and the number of connected components of its vertical slices.\n  Finally, we present an example showing that there is a non-convex domain in $\\mathbb C^n$ such that its image under arbitrary isometry is pseudoconvex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8359","kind":"arxiv","version":3},"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":"2026-05-18T02:18:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pc97uy0NBMQVX+CmdlwJ+mS4A++6AVw4AALM/2GOPmKPoKfn2hkshzXLQzwdZ2SQbmZ6LQvcQntrHkFKz/jDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:35:20.215210Z"},"content_sha256":"cc72d676a5d71cadabc01f47efe8464330bb4a5a5c4df47aec688c5121cdbf21","schema_version":"1.0","event_id":"sha256:cc72d676a5d71cadabc01f47efe8464330bb4a5a5c4df47aec688c5121cdbf21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6/bundle.json","state_url":"https://pith.science/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6/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":"2026-06-06T18:35:20Z","links":{"resolver":"https://pith.science/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6","bundle":"https://pith.science/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6/bundle.json","state":"https://pith.science/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4IDXLQDYMX5IBVD6CJNMNDOHS6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4IDXLQDYMX5IBVD6CJNMNDOHS6","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":"38c4ee09f281df511e6cf6afb970fc1723fa6257d176c1cc5f8b059d786f4cf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-31T15:39:13Z","title_canon_sha256":"2f65c672d914fe0c39e51e51a174d96b32d56c87d5396e654e47eb38173e2874"},"schema_version":"1.0","source":{"id":"1307.8359","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.8359","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.8359v3","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8359","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"4IDXLQDYMX5I","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4IDXLQDYMX5IBVD6","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4IDXLQDY","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:cc72d676a5d71cadabc01f47efe8464330bb4a5a5c4df47aec688c5121cdbf21","target":"graph","created_at":"2026-05-18T02:18:50Z","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 the paper we study the geometry of semitube domains in $\\mathbb C^2$. In particular, we extend the result of Burgu\\'es and Dwilewicz for semitube domains dropping out the smoothness assumption. We also prove various properties of non-smooth pseudoconvex semitube domains obtaining among others a relation between pseudoconvexity of a semitube domain and the number of connected components of its vertical slices.\n  Finally, we present an example showing that there is a non-convex domain in $\\mathbb C^n$ such that its image under arbitrary isometry is pseudoconvex.","authors_text":"{\\L}ukasz Kosi\\'nski, Tomasz Warszawski, W{\\l}odzimierz Zwonek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-31T15:39:13Z","title":"Geometric properties of semitube domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8359","kind":"arxiv","version":3},"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":"sha256:5361b1f4dd9f77fc254f97536b95393c882803a721df29aa61ef72ea482e48a8","target":"record","created_at":"2026-05-18T02:18:50Z","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":"38c4ee09f281df511e6cf6afb970fc1723fa6257d176c1cc5f8b059d786f4cf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-31T15:39:13Z","title_canon_sha256":"2f65c672d914fe0c39e51e51a174d96b32d56c87d5396e654e47eb38173e2874"},"schema_version":"1.0","source":{"id":"1307.8359","kind":"arxiv","version":3}},"canonical_sha256":"e20775c07865fa80d47e125ac68dc797ac7c70947bbb5d513d909ff5850b1771","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e20775c07865fa80d47e125ac68dc797ac7c70947bbb5d513d909ff5850b1771","first_computed_at":"2026-05-18T02:18:50.098227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:50.098227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U8+v70Zp5XN0vfNXLCNjNCoLvBj3JhUoOrXZGlqTaazUJIiKpI97G1lJKOkuo/rGC0iWLWSAwtDUh555J92WAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:50.098938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.8359","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5361b1f4dd9f77fc254f97536b95393c882803a721df29aa61ef72ea482e48a8","sha256:cc72d676a5d71cadabc01f47efe8464330bb4a5a5c4df47aec688c5121cdbf21"],"state_sha256":"4df30951445ce02ff9c9f36d749da76ede1433c757fc14de8c35ba91440cf0bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DX0oc3AHnI3K0pDHqgPwpU2ilA0SF3pKVBLI78gwcZ6MWBvoG8TPf/LqUAgffemudEV6XUOOambYPLVqNoxeBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:35:20.217448Z","bundle_sha256":"34173e346f71daae4786baf6c40269927839e0cd12b7570c905350f86933bb32"}}