{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:RRV7PAVVLE2KAFAXZV2S7RNPZX","short_pith_number":"pith:RRV7PAVV","canonical_record":{"source":{"id":"2010.09130","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-10-18T22:51:31Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"aa170092efb351750e2b1c23172e8ac4c7efcdc1aa8916d73fa87dc430f5d335","abstract_canon_sha256":"76250cff1f043d10a368657d3e5c7f1f841505589b6a36ee8c6d6242d11d7a25"},"schema_version":"1.0"},"canonical_sha256":"8c6bf782b55934a01417cd752fc5afcdfc1eed32ba8dc88bb137d5e152542332","source":{"kind":"arxiv","id":"2010.09130","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.09130","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"arxiv_version","alias_value":"2010.09130v3","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.09130","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_12","alias_value":"RRV7PAVVLE2K","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_16","alias_value":"RRV7PAVVLE2KAFAX","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_8","alias_value":"RRV7PAVV","created_at":"2026-07-05T09:42:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:RRV7PAVVLE2KAFAXZV2S7RNPZX","target":"record","payload":{"canonical_record":{"source":{"id":"2010.09130","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-10-18T22:51:31Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"aa170092efb351750e2b1c23172e8ac4c7efcdc1aa8916d73fa87dc430f5d335","abstract_canon_sha256":"76250cff1f043d10a368657d3e5c7f1f841505589b6a36ee8c6d6242d11d7a25"},"schema_version":"1.0"},"canonical_sha256":"8c6bf782b55934a01417cd752fc5afcdfc1eed32ba8dc88bb137d5e152542332","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:42:16.543898Z","signature_b64":"l+3StDOTO9zGixq3ym/FzAxQgZlgAGen2bpLhSpOaCBWzbUyVwLeOzTKIvh/GKKMrRSPbk/1Y8oJ+vO9BlrmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c6bf782b55934a01417cd752fc5afcdfc1eed32ba8dc88bb137d5e152542332","last_reissued_at":"2026-07-05T09:42:16.543287Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:42:16.543287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.09130","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":"2026-07-05T09:42:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZJZLBONL304hmrBarA5HmQufi9SDGzR6gUBtjsaGZrGFqwZ4lUbQMZunqkFnA9THcBQmeeUJJ3ktL/C8gLRHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:00:05.044258Z"},"content_sha256":"c548493be5b2d479a012f01bc7e3aa8a0ab601f28788c3bfee02413469a4bacf","schema_version":"1.0","event_id":"sha256:c548493be5b2d479a012f01bc7e3aa8a0ab601f28788c3bfee02413469a4bacf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:RRV7PAVVLE2KAFAXZV2S7RNPZX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"S. Yu. Orevkov","submitted_at":"2020-10-18T22:51:31Z","abstract_excerpt":"We prove two inequalities for the complex orientations of a separating (Type I) non-singular real algebraic curve in $RP^2$ of any odd degree. We also construct a separating non-singular pseudoholomorphic curve in $RP^2$ of any degree congruent to 9 mod 12 which does not satisfies one of these inequalities. Therefore the oriented isotopy type of the real locus of each of these curves is algebraically unrealizable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.09130","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.09130/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:42:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S8TlnNh8N4YR8ZkJe1XoJXFc9BhPQFPtsVWVdrjNnHqZ4Qn5huqbV21kENIE/6Jj5dAesxvyK7sqWUblJrzwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:00:05.045234Z"},"content_sha256":"505c3f81153d7cd9435634716d2d1ac2354b45b77df484fd464c20f811afb6bd","schema_version":"1.0","event_id":"sha256:505c3f81153d7cd9435634716d2d1ac2354b45b77df484fd464c20f811afb6bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX/bundle.json","state_url":"https://pith.science/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX/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":"2026-08-16T12:00:05Z","links":{"resolver":"https://pith.science/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX","bundle":"https://pith.science/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX/bundle.json","state":"https://pith.science/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRV7PAVVLE2KAFAXZV2S7RNPZX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:RRV7PAVVLE2KAFAXZV2S7RNPZX","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":"76250cff1f043d10a368657d3e5c7f1f841505589b6a36ee8c6d6242d11d7a25","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-10-18T22:51:31Z","title_canon_sha256":"aa170092efb351750e2b1c23172e8ac4c7efcdc1aa8916d73fa87dc430f5d335"},"schema_version":"1.0","source":{"id":"2010.09130","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.09130","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"arxiv_version","alias_value":"2010.09130v3","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.09130","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_12","alias_value":"RRV7PAVVLE2K","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_16","alias_value":"RRV7PAVVLE2KAFAX","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_8","alias_value":"RRV7PAVV","created_at":"2026-07-05T09:42:16Z"}],"graph_snapshots":[{"event_id":"sha256:505c3f81153d7cd9435634716d2d1ac2354b45b77df484fd464c20f811afb6bd","target":"graph","created_at":"2026-07-05T09:42:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.09130/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove two inequalities for the complex orientations of a separating (Type I) non-singular real algebraic curve in $RP^2$ of any odd degree. We also construct a separating non-singular pseudoholomorphic curve in $RP^2$ of any degree congruent to 9 mod 12 which does not satisfies one of these inequalities. Therefore the oriented isotopy type of the real locus of each of these curves is algebraically unrealizable.","authors_text":"S. Yu. Orevkov","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-10-18T22:51:31Z","title":"Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.09130","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:c548493be5b2d479a012f01bc7e3aa8a0ab601f28788c3bfee02413469a4bacf","target":"record","created_at":"2026-07-05T09:42:16Z","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":"76250cff1f043d10a368657d3e5c7f1f841505589b6a36ee8c6d6242d11d7a25","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-10-18T22:51:31Z","title_canon_sha256":"aa170092efb351750e2b1c23172e8ac4c7efcdc1aa8916d73fa87dc430f5d335"},"schema_version":"1.0","source":{"id":"2010.09130","kind":"arxiv","version":3}},"canonical_sha256":"8c6bf782b55934a01417cd752fc5afcdfc1eed32ba8dc88bb137d5e152542332","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c6bf782b55934a01417cd752fc5afcdfc1eed32ba8dc88bb137d5e152542332","first_computed_at":"2026-07-05T09:42:16.543287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:16.543287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l+3StDOTO9zGixq3ym/FzAxQgZlgAGen2bpLhSpOaCBWzbUyVwLeOzTKIvh/GKKMrRSPbk/1Y8oJ+vO9BlrmAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:16.543898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.09130","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c548493be5b2d479a012f01bc7e3aa8a0ab601f28788c3bfee02413469a4bacf","sha256:505c3f81153d7cd9435634716d2d1ac2354b45b77df484fd464c20f811afb6bd"],"state_sha256":"0e8b4ef53f8807a815f0921c5ae8f28e5a02e6ca33c0493a64c073e7fe5d7742"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RLufhV/K2EyAoEI5hmtlqhmvX7+KRSyUctC/q4Or96HjziRW4T9ADcAdsuudCOn+ofjQ9SF6/R21h5owSq1dAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T12:00:05.059731Z","bundle_sha256":"9750cdc7837165f83b55f4d7fca30aa4f07bc9cbd66543b435d4f61865b7555b"}}