{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PN6WDIDLLZBGASBBWOCVKOQDTG","short_pith_number":"pith:PN6WDIDL","canonical_record":{"source":{"id":"1303.2385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-10T22:27:35Z","cross_cats_sorted":[],"title_canon_sha256":"8a1a3d800026b6a6ce5c3a9dbc0177dbd479800a57c00aab12e50af54b7c4273","abstract_canon_sha256":"4db7ff9df199310dce34dca50605c5af6c3e70f88b9f29184794246ee869a7c1"},"schema_version":"1.0"},"canonical_sha256":"7b7d61a06b5e42604821b385553a0399a27cb07076af2fa95f15fd04cfb63b16","source":{"kind":"arxiv","id":"1303.2385","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2385","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2385v1","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2385","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"pith_short_12","alias_value":"PN6WDIDLLZBG","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PN6WDIDLLZBGASBB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PN6WDIDL","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PN6WDIDLLZBGASBBWOCVKOQDTG","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-10T22:27:35Z","cross_cats_sorted":[],"title_canon_sha256":"8a1a3d800026b6a6ce5c3a9dbc0177dbd479800a57c00aab12e50af54b7c4273","abstract_canon_sha256":"4db7ff9df199310dce34dca50605c5af6c3e70f88b9f29184794246ee869a7c1"},"schema_version":"1.0"},"canonical_sha256":"7b7d61a06b5e42604821b385553a0399a27cb07076af2fa95f15fd04cfb63b16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:08.311352Z","signature_b64":"kLTqsGSj0RkU4flKxZYyUEap0/+Pmq203IOJUy5voEk7MX4WtlEVDj54mXVd9L95NfKN0niCQ+C27UMx7MlTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b7d61a06b5e42604821b385553a0399a27cb07076af2fa95f15fd04cfb63b16","last_reissued_at":"2026-05-18T02:27:08.310642Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:08.310642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2385","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":"2026-05-18T02:27:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bCJB4FHnQaiEuAcUR8M9zNAgh8ULngV/3EH6Chuh1xmfogR85wiRJeUsS71oKgDcrSPNunXhtlsS+j2XAOICCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:41:17.848774Z"},"content_sha256":"e56907a492cb5da0211ae5ae7f7ed638f88c8523a51ac00c7e2de8adb391b200","schema_version":"1.0","event_id":"sha256:e56907a492cb5da0211ae5ae7f7ed638f88c8523a51ac00c7e2de8adb391b200"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PN6WDIDLLZBGASBBWOCVKOQDTG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-embeddable Real Algebraic Hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dmitri Zaitsev, Xiaojun Huang","submitted_at":"2013-03-10T22:27:35Z","abstract_excerpt":"We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2385","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":"2026-05-18T02:27:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AftYMySFkOSUSMnoZUukK4R6I+P+jd4KHBVuTlmKTePdxCC0vgqGjPwzpqZm3mqtUbOsPzL/vX8N79+eImglCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:41:17.849121Z"},"content_sha256":"2857454bd6f2428a9b033de093e4d734654c1158308e9cd56803cdcc9ed1c393","schema_version":"1.0","event_id":"sha256:2857454bd6f2428a9b033de093e4d734654c1158308e9cd56803cdcc9ed1c393"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PN6WDIDLLZBGASBBWOCVKOQDTG/bundle.json","state_url":"https://pith.science/pith/PN6WDIDLLZBGASBBWOCVKOQDTG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PN6WDIDLLZBGASBBWOCVKOQDTG/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":"2026-06-23T13:41:17Z","links":{"resolver":"https://pith.science/pith/PN6WDIDLLZBGASBBWOCVKOQDTG","bundle":"https://pith.science/pith/PN6WDIDLLZBGASBBWOCVKOQDTG/bundle.json","state":"https://pith.science/pith/PN6WDIDLLZBGASBBWOCVKOQDTG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PN6WDIDLLZBGASBBWOCVKOQDTG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PN6WDIDLLZBGASBBWOCVKOQDTG","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":"4db7ff9df199310dce34dca50605c5af6c3e70f88b9f29184794246ee869a7c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-10T22:27:35Z","title_canon_sha256":"8a1a3d800026b6a6ce5c3a9dbc0177dbd479800a57c00aab12e50af54b7c4273"},"schema_version":"1.0","source":{"id":"1303.2385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2385","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2385v1","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2385","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"pith_short_12","alias_value":"PN6WDIDLLZBG","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PN6WDIDLLZBGASBB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PN6WDIDL","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:2857454bd6f2428a9b033de093e4d734654c1158308e9cd56803cdcc9ed1c393","target":"graph","created_at":"2026-05-18T02:27:08Z","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 various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.","authors_text":"Dmitri Zaitsev, Xiaojun Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-10T22:27:35Z","title":"Non-embeddable Real Algebraic Hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2385","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:e56907a492cb5da0211ae5ae7f7ed638f88c8523a51ac00c7e2de8adb391b200","target":"record","created_at":"2026-05-18T02:27:08Z","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":"4db7ff9df199310dce34dca50605c5af6c3e70f88b9f29184794246ee869a7c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-10T22:27:35Z","title_canon_sha256":"8a1a3d800026b6a6ce5c3a9dbc0177dbd479800a57c00aab12e50af54b7c4273"},"schema_version":"1.0","source":{"id":"1303.2385","kind":"arxiv","version":1}},"canonical_sha256":"7b7d61a06b5e42604821b385553a0399a27cb07076af2fa95f15fd04cfb63b16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b7d61a06b5e42604821b385553a0399a27cb07076af2fa95f15fd04cfb63b16","first_computed_at":"2026-05-18T02:27:08.310642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:08.310642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kLTqsGSj0RkU4flKxZYyUEap0/+Pmq203IOJUy5voEk7MX4WtlEVDj54mXVd9L95NfKN0niCQ+C27UMx7MlTDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:08.311352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e56907a492cb5da0211ae5ae7f7ed638f88c8523a51ac00c7e2de8adb391b200","sha256:2857454bd6f2428a9b033de093e4d734654c1158308e9cd56803cdcc9ed1c393"],"state_sha256":"2cefd54119ada4e1c64f22b026e15fedf0bd4f5c2ac99eeaf82060c024dcca40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lsASHF480GqYUB4QCtbEDszl1WOi5RrISzl8ToK1BrsbQuTlLqyylWcYj4ao7NKMshAlC9xaTeeIR7K0QZ6zDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:41:17.851198Z","bundle_sha256":"1e36d44a5ec725a457c83e3e5e52f566e030e2d7b144ed49bb9265d7f7534246"}}