{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:M7G5JQJCFFDK3LZ2LYGBBGRQF5","short_pith_number":"pith:M7G5JQJC","canonical_record":{"source":{"id":"math/0309219","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:46:52Z","cross_cats_sorted":[],"title_canon_sha256":"2aaa6537d6e9127188f706138110bfd05c96975ecde798650b4d94e7efbfb59f","abstract_canon_sha256":"501fb83007989d39149ac1d522658cdba7c4537e1678df67867338991818f820"},"schema_version":"1.0"},"canonical_sha256":"67cdd4c1222946adaf3a5e0c109a302f7c583b5736f14ed9b422ecd95cc361ee","source":{"kind":"arxiv","id":"math/0309219","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0309219","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0309219v1","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0309219","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"M7G5JQJCFFDK","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"M7G5JQJCFFDK3LZ2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"M7G5JQJC","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:M7G5JQJCFFDK3LZ2LYGBBGRQF5","target":"record","payload":{"canonical_record":{"source":{"id":"math/0309219","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:46:52Z","cross_cats_sorted":[],"title_canon_sha256":"2aaa6537d6e9127188f706138110bfd05c96975ecde798650b4d94e7efbfb59f","abstract_canon_sha256":"501fb83007989d39149ac1d522658cdba7c4537e1678df67867338991818f820"},"schema_version":"1.0"},"canonical_sha256":"67cdd4c1222946adaf3a5e0c109a302f7c583b5736f14ed9b422ecd95cc361ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:32.163674Z","signature_b64":"Y3iSZoSRIDBMgFaQYi/TPRyzY8XmHY3WAQ/916EL7RH0FQ7PjLOfGDRAefQzyQV7ItHCsPssfIhKCRPTJgGaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67cdd4c1222946adaf3a5e0c109a302f7c583b5736f14ed9b422ecd95cc361ee","last_reissued_at":"2026-05-18T02:26:32.163287Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:32.163287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0309219","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":"tXpqPYrXmDMnaTXusWwHMSRue0CG+Cq3zzD19RXukyka8LHCxhFZInIChzpSMX72oqbfPUDeN1S0um3dSHX2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:28:17.976216Z"},"content_sha256":"236dadcaabfc668098b0a965f32bdc918f6baaa30e5fe6b8422d15bbfe38d70b","schema_version":"1.0","event_id":"sha256:236dadcaabfc668098b0a965f32bdc918f6baaa30e5fe6b8422d15bbfe38d70b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:M7G5JQJCFFDK3LZ2LYGBBGRQF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real Surfaces in Elliptic Surfaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Marko Slapar","submitted_at":"2003-09-12T20:46:52Z","abstract_excerpt":"We study the structure of complex points on real surfaces, embedded into complex Elliptic surfaces. We show, for example, that any compact surface has a totally real embedding into a blow-up of a K3 surface. We also exhibit smooth disc bundles over compact orientable surfaces that have a Stein structure as Stein domains inside Elliptic surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0309219","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":"55ZSzoRnrRacEFQquiDn1CkioL+Ckei/oypMcLqQ9rBXNEkF6KvjW6xWamPmGpepvpD4PC7IkOL4oH68KbjsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:28:17.976926Z"},"content_sha256":"03c7e13696f5d257314d23e6319661ad0fd505fad2ddf6a78e5a446f31d867f4","schema_version":"1.0","event_id":"sha256:03c7e13696f5d257314d23e6319661ad0fd505fad2ddf6a78e5a446f31d867f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5/bundle.json","state_url":"https://pith.science/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5/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":"2026-06-06T19:28:17Z","links":{"resolver":"https://pith.science/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5","bundle":"https://pith.science/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5/bundle.json","state":"https://pith.science/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M7G5JQJCFFDK3LZ2LYGBBGRQF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:M7G5JQJCFFDK3LZ2LYGBBGRQF5","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":"501fb83007989d39149ac1d522658cdba7c4537e1678df67867338991818f820","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:46:52Z","title_canon_sha256":"2aaa6537d6e9127188f706138110bfd05c96975ecde798650b4d94e7efbfb59f"},"schema_version":"1.0","source":{"id":"math/0309219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0309219","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0309219v1","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0309219","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"M7G5JQJCFFDK","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"M7G5JQJCFFDK3LZ2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"M7G5JQJC","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:03c7e13696f5d257314d23e6319661ad0fd505fad2ddf6a78e5a446f31d867f4","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":"We study the structure of complex points on real surfaces, embedded into complex Elliptic surfaces. We show, for example, that any compact surface has a totally real embedding into a blow-up of a K3 surface. We also exhibit smooth disc bundles over compact orientable surfaces that have a Stein structure as Stein domains inside Elliptic surfaces.","authors_text":"Marko Slapar","cross_cats":[],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:46:52Z","title":"Real Surfaces in Elliptic Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0309219","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":"sha256:236dadcaabfc668098b0a965f32bdc918f6baaa30e5fe6b8422d15bbfe38d70b","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":"501fb83007989d39149ac1d522658cdba7c4537e1678df67867338991818f820","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2003-09-12T20:46:52Z","title_canon_sha256":"2aaa6537d6e9127188f706138110bfd05c96975ecde798650b4d94e7efbfb59f"},"schema_version":"1.0","source":{"id":"math/0309219","kind":"arxiv","version":1}},"canonical_sha256":"67cdd4c1222946adaf3a5e0c109a302f7c583b5736f14ed9b422ecd95cc361ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67cdd4c1222946adaf3a5e0c109a302f7c583b5736f14ed9b422ecd95cc361ee","first_computed_at":"2026-05-18T02:26:32.163287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:32.163287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y3iSZoSRIDBMgFaQYi/TPRyzY8XmHY3WAQ/916EL7RH0FQ7PjLOfGDRAefQzyQV7ItHCsPssfIhKCRPTJgGaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:32.163674Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0309219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:236dadcaabfc668098b0a965f32bdc918f6baaa30e5fe6b8422d15bbfe38d70b","sha256:03c7e13696f5d257314d23e6319661ad0fd505fad2ddf6a78e5a446f31d867f4"],"state_sha256":"f44e1f5dcb2969fab06ab38f920eb5d1eeb5af7666e391d939ba91b9af5ed70e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S2p72j7QgYp7q7mn+SfPRNMjEY3YGHXBV5tERMCNcdp1Kz4iMIXqmTGQKSAXt3r9aHsFlFhLudevTrxcgq+XBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:28:17.980218Z","bundle_sha256":"3895125802dae45d82044f6be52a6302f1efe897fc62598a9da2d9ea679f6257"}}