{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:Y3EEVK7XN3GZWRNHPI2JQ73HVP","short_pith_number":"pith:Y3EEVK7X","canonical_record":{"source":{"id":"math/0309218","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:19:52Z","cross_cats_sorted":[],"title_canon_sha256":"79b224cc13a1f057905c66e6124100d788969d5e67b9f4abd1f6eb542561b8ac","abstract_canon_sha256":"9ae94d652fa49b567734c8533a1a24e28e597de2003446ca5a2ca822b8f4d5f3"},"schema_version":"1.0"},"canonical_sha256":"c6c84aabf76ecd9b45a77a34987f67abc7b0f357b7e0e118d22d54900cf3704d","source":{"kind":"arxiv","id":"math/0309218","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0309218","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0309218v1","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0309218","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"Y3EEVK7XN3GZ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"Y3EEVK7XN3GZWRNH","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"Y3EEVK7X","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:Y3EEVK7XN3GZWRNHPI2JQ73HVP","target":"record","payload":{"canonical_record":{"source":{"id":"math/0309218","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:19:52Z","cross_cats_sorted":[],"title_canon_sha256":"79b224cc13a1f057905c66e6124100d788969d5e67b9f4abd1f6eb542561b8ac","abstract_canon_sha256":"9ae94d652fa49b567734c8533a1a24e28e597de2003446ca5a2ca822b8f4d5f3"},"schema_version":"1.0"},"canonical_sha256":"c6c84aabf76ecd9b45a77a34987f67abc7b0f357b7e0e118d22d54900cf3704d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:32.169038Z","signature_b64":"STI51FtRvK2f/a5iyr9bkoVji90mzoSBqgJqLGqS/PT0X9jZHqVsHDF3KcFX3pcyYgPw3qNdwAdaYLMmCUDUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6c84aabf76ecd9b45a77a34987f67abc7b0f357b7e0e118d22d54900cf3704d","last_reissued_at":"2026-05-18T02:26:32.168633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:32.168633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0309218","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":"2026-05-18T02:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"acmRFBdf9i5Ta91XYWzoAOUUh1EWntFOaCq/FZ7OWAVExZ2n0zLzX5vpGBLnjkgqVQI7OsY0cYUWbbXrPpIFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:18:14.406325Z"},"content_sha256":"96f5c0f3e46a9df02b104312251ab8cf838e6043d07c8f3003d8bec1eba53737","schema_version":"1.0","event_id":"sha256:96f5c0f3e46a9df02b104312251ab8cf838e6043d07c8f3003d8bec1eba53737"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:Y3EEVK7XN3GZWRNHPI2JQ73HVP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Stein Neighborhood Basis of Real Surfaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Marko Slapar","submitted_at":"2003-09-12T20:19:52Z","abstract_excerpt":"In this paper, we show that a compact real surface embedded in a complex surface has a regular Stein neighborhood basis, provided that there are only finitely many complex points on the surface, and that they are all flat and hyperbolic. An application to unions of totally real planes in $\\CC^2$ is then given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0309218","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":"2026-05-18T02:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQmoGYqEWLwsWsLzURjcHe8U+qGmY37rkrI4FPAUJSgEcJgx/xrcRt2nOiiB48JuWRFeDanY3on/+DT809VHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:18:14.406666Z"},"content_sha256":"ee9c0b380a50635275abcf16ddd675f2a343ec8936164998f9a7b477fe80f20e","schema_version":"1.0","event_id":"sha256:ee9c0b380a50635275abcf16ddd675f2a343ec8936164998f9a7b477fe80f20e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP/bundle.json","state_url":"https://pith.science/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP/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":"2026-06-06T19:18:14Z","links":{"resolver":"https://pith.science/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP","bundle":"https://pith.science/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP/bundle.json","state":"https://pith.science/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3EEVK7XN3GZWRNHPI2JQ73HVP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:Y3EEVK7XN3GZWRNHPI2JQ73HVP","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":"9ae94d652fa49b567734c8533a1a24e28e597de2003446ca5a2ca822b8f4d5f3","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:19:52Z","title_canon_sha256":"79b224cc13a1f057905c66e6124100d788969d5e67b9f4abd1f6eb542561b8ac"},"schema_version":"1.0","source":{"id":"math/0309218","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0309218","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0309218v1","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0309218","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"Y3EEVK7XN3GZ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"Y3EEVK7XN3GZWRNH","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"Y3EEVK7X","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:ee9c0b380a50635275abcf16ddd675f2a343ec8936164998f9a7b477fe80f20e","target":"graph","created_at":"2026-05-18T02:26:32Z","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":"In this paper, we show that a compact real surface embedded in a complex surface has a regular Stein neighborhood basis, provided that there are only finitely many complex points on the surface, and that they are all flat and hyperbolic. An application to unions of totally real planes in $\\CC^2$ is then given.","authors_text":"Marko Slapar","cross_cats":[],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:19:52Z","title":"On Stein Neighborhood Basis of Real Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0309218","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":"sha256:96f5c0f3e46a9df02b104312251ab8cf838e6043d07c8f3003d8bec1eba53737","target":"record","created_at":"2026-05-18T02:26:32Z","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":"9ae94d652fa49b567734c8533a1a24e28e597de2003446ca5a2ca822b8f4d5f3","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:19:52Z","title_canon_sha256":"79b224cc13a1f057905c66e6124100d788969d5e67b9f4abd1f6eb542561b8ac"},"schema_version":"1.0","source":{"id":"math/0309218","kind":"arxiv","version":1}},"canonical_sha256":"c6c84aabf76ecd9b45a77a34987f67abc7b0f357b7e0e118d22d54900cf3704d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6c84aabf76ecd9b45a77a34987f67abc7b0f357b7e0e118d22d54900cf3704d","first_computed_at":"2026-05-18T02:26:32.168633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:32.168633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"STI51FtRvK2f/a5iyr9bkoVji90mzoSBqgJqLGqS/PT0X9jZHqVsHDF3KcFX3pcyYgPw3qNdwAdaYLMmCUDUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:32.169038Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0309218","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96f5c0f3e46a9df02b104312251ab8cf838e6043d07c8f3003d8bec1eba53737","sha256:ee9c0b380a50635275abcf16ddd675f2a343ec8936164998f9a7b477fe80f20e"],"state_sha256":"b6ee2bf4ec7d615a55654b9559ba422a4174407439065b080ef9ec5176dc77cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30kq0jV2hxY3KFfpAygIVCB/iPl9oP1IIJ9gVD7hxg8nEAi0Q5U4lyjA6OSYoXQAwYVMWifLTSmQheDksz1kCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:18:14.408693Z","bundle_sha256":"cf5e99ff22c8a47f9a70e135a787a63ab07b20f2c2834250d76a09bcbb9163bb"}}