{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:N2GJESOBISQ46LJ2ENSWICXU6G","short_pith_number":"pith:N2GJESOB","canonical_record":{"source":{"id":"1907.04832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T17:25:47Z","cross_cats_sorted":[],"title_canon_sha256":"b7b766444d110605940c547ed84abc01973660b707d207f10d1eba9fd65e36fa","abstract_canon_sha256":"f1b4bc970e39f1eb44ade3d3ab77aba48d92c09577818d44cce4a918286e75aa"},"schema_version":"1.0"},"canonical_sha256":"6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7","source":{"kind":"arxiv","id":"1907.04832","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04832","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04832v1","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04832","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"N2GJESOBISQ4","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"N2GJESOBISQ46LJ2","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"N2GJESOB","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:N2GJESOBISQ46LJ2ENSWICXU6G","target":"record","payload":{"canonical_record":{"source":{"id":"1907.04832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T17:25:47Z","cross_cats_sorted":[],"title_canon_sha256":"b7b766444d110605940c547ed84abc01973660b707d207f10d1eba9fd65e36fa","abstract_canon_sha256":"f1b4bc970e39f1eb44ade3d3ab77aba48d92c09577818d44cce4a918286e75aa"},"schema_version":"1.0"},"canonical_sha256":"6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:56.552124Z","signature_b64":"Sa6vzUXb7Vo4PAqvsfA8w/978v0js5kJ8WDuHHdV6C/AG28P8aW11wcbtxFYQT97cUeDrmduAnMlw9LdwRCCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7","last_reissued_at":"2026-05-17T23:40:56.551470Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:56.551470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.04832","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":"2026-05-17T23:40:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uzKo0cYjVfHF8OSDPwBjBgFX8/RF5MtDSNUa2ZNojRTmi7QSZ63uUATyLNwKVs5foXhbFsbkW1xwxllStvfkAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:40:38.532226Z"},"content_sha256":"47fa75789a3d64034e0eab8c2ecbe284e24dee2bc8c505ba0af2060f6f556df9","schema_version":"1.0","event_id":"sha256:47fa75789a3d64034e0eab8c2ecbe284e24dee2bc8c505ba0af2060f6f556df9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:N2GJESOBISQ46LJ2ENSWICXU6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A matrixwise approach to unexpected hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Brian Harbourne, Grzegorz Malara, Halszka Tutaj-Gasinska, Justyna Szpond, Lucja Farnik, Marcin Dumnicki","submitted_at":"2019-07-10T17:25:47Z","abstract_excerpt":"The aim of this note is to give a generalization of some results concerning unexpected hypersurfaces. Unexpected hypersurfaces occur when the actual dimension of the space of forms satisfying certain vanishing data is positive and the imposed vanishing conditions are not independent. The first instance studied were unexpected curves in the paper by Cook II, Harbourne, Migliore, Nagel. Unexpected hypersurfaces were then investigated by Bauer, Malara, Szpond and Szemberg, followed by Harbourne, Migliore, Nagel and Teitler who introduced the notion of BMSS duality and showed it holds in some case"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04832","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":"2026-05-17T23:40:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Sc7LfoQIR3qn2zHM7yvzeJWKeUKd1Yhr44qKWbL41aEwsbCUnTgUq70DYYXgDGiOkOsOL1uCUQKsiCa3p3bCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:40:38.532916Z"},"content_sha256":"af3b7f0c36066ea3cddb0b92cd815ad248fc67783f688610d84e49d3f9290bc5","schema_version":"1.0","event_id":"sha256:af3b7f0c36066ea3cddb0b92cd815ad248fc67783f688610d84e49d3f9290bc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2GJESOBISQ46LJ2ENSWICXU6G/bundle.json","state_url":"https://pith.science/pith/N2GJESOBISQ46LJ2ENSWICXU6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2GJESOBISQ46LJ2ENSWICXU6G/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":"2026-05-25T20:40:38Z","links":{"resolver":"https://pith.science/pith/N2GJESOBISQ46LJ2ENSWICXU6G","bundle":"https://pith.science/pith/N2GJESOBISQ46LJ2ENSWICXU6G/bundle.json","state":"https://pith.science/pith/N2GJESOBISQ46LJ2ENSWICXU6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2GJESOBISQ46LJ2ENSWICXU6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:N2GJESOBISQ46LJ2ENSWICXU6G","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":"f1b4bc970e39f1eb44ade3d3ab77aba48d92c09577818d44cce4a918286e75aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T17:25:47Z","title_canon_sha256":"b7b766444d110605940c547ed84abc01973660b707d207f10d1eba9fd65e36fa"},"schema_version":"1.0","source":{"id":"1907.04832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04832","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04832v1","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04832","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"N2GJESOBISQ4","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"N2GJESOBISQ46LJ2","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"N2GJESOB","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:af3b7f0c36066ea3cddb0b92cd815ad248fc67783f688610d84e49d3f9290bc5","target":"graph","created_at":"2026-05-17T23:40:56Z","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":"The aim of this note is to give a generalization of some results concerning unexpected hypersurfaces. Unexpected hypersurfaces occur when the actual dimension of the space of forms satisfying certain vanishing data is positive and the imposed vanishing conditions are not independent. The first instance studied were unexpected curves in the paper by Cook II, Harbourne, Migliore, Nagel. Unexpected hypersurfaces were then investigated by Bauer, Malara, Szpond and Szemberg, followed by Harbourne, Migliore, Nagel and Teitler who introduced the notion of BMSS duality and showed it holds in some case","authors_text":"Brian Harbourne, Grzegorz Malara, Halszka Tutaj-Gasinska, Justyna Szpond, Lucja Farnik, Marcin Dumnicki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T17:25:47Z","title":"A matrixwise approach to unexpected hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04832","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":"sha256:47fa75789a3d64034e0eab8c2ecbe284e24dee2bc8c505ba0af2060f6f556df9","target":"record","created_at":"2026-05-17T23:40:56Z","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":"f1b4bc970e39f1eb44ade3d3ab77aba48d92c09577818d44cce4a918286e75aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T17:25:47Z","title_canon_sha256":"b7b766444d110605940c547ed84abc01973660b707d207f10d1eba9fd65e36fa"},"schema_version":"1.0","source":{"id":"1907.04832","kind":"arxiv","version":1}},"canonical_sha256":"6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e8c9249c144a1cf2d3a2365640af4f1bbb9910fa82d6b05a46f5c0a328721c7","first_computed_at":"2026-05-17T23:40:56.551470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:56.551470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sa6vzUXb7Vo4PAqvsfA8w/978v0js5kJ8WDuHHdV6C/AG28P8aW11wcbtxFYQT97cUeDrmduAnMlw9LdwRCCBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:56.552124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.04832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47fa75789a3d64034e0eab8c2ecbe284e24dee2bc8c505ba0af2060f6f556df9","sha256:af3b7f0c36066ea3cddb0b92cd815ad248fc67783f688610d84e49d3f9290bc5"],"state_sha256":"738e7aa43587ec1d7e71d3f5e4b291de012d6bfe95f5c8c3ae559b9d0b0a8824"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TSK5AJGBh/GHQdYMHAiTQocqb+V5vaI0ec8zAZ/nzF2FxBDFvvL52EbALZUauYpd9l1QKP+9CwTVqNjcoC36Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:40:38.536441Z","bundle_sha256":"c36731888bac845a72ea42f78de1770e6e08a6d8c6540dc52a9cae338ab7ee70"}}