{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D6RQKQZHBGICOZRO5HSRVIY4AC","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":"56672b39482a19926348b348735bd5c27769a61adcad16c197c0a11371a4ac58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-05T14:54:53Z","title_canon_sha256":"4d38e859845f67d0397f0d71e7191c15c77a7ad45dfa53846a8db3029c08fd1b"},"schema_version":"1.0","source":{"id":"1506.01931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01931","created_at":"2026-05-18T01:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01931v1","created_at":"2026-05-18T01:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01931","created_at":"2026-05-18T01:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"D6RQKQZHBGIC","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D6RQKQZHBGICOZRO","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D6RQKQZH","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:458be426d0dea5f6c8890d05544aac697f1daaedfd3ea8951d292d5e46956d0d","target":"graph","created_at":"2026-05-18T01:55:58Z","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":"Let $ \\mathcal{D} = \\{D_{1}, \\ldots, D_{\\ell}\\} $ be an arrangement of smooth hypersurfaces with normal crossings on the complex projective space $ \\mathbb{P}^{n} $ and let $ \\Omega^{1}_{\\mathbb{P}^{n}}(log \\mathcal{D}) $ be the logarithmic bundle attached to it. Our aim is to study the injectivity of the correspondence $ \\mathcal{D} \\longrightarrow \\Omega^{1}_{\\mathbb{P}^{n}}(log \\mathcal{D}) $. In order to do that, we first show that $ \\Omega^{1}_{\\mathbb{P}^{n}}(log \\mathcal{D}) $ admits a resolution of length $ 1 $ depending on the degrees and on the equations of $ D_{1}, \\ldots, D_{\\ell} ","authors_text":"Elena Angelini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-05T14:54:53Z","title":"The Torelli problem for Logarithmic bundles of hypersurface arrangements in the projective space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01931","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:b98e74b67cb9ceddf69a4cee30d6a98b9de50fef6209485b2e251a61087102f8","target":"record","created_at":"2026-05-18T01:55:58Z","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":"56672b39482a19926348b348735bd5c27769a61adcad16c197c0a11371a4ac58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-05T14:54:53Z","title_canon_sha256":"4d38e859845f67d0397f0d71e7191c15c77a7ad45dfa53846a8db3029c08fd1b"},"schema_version":"1.0","source":{"id":"1506.01931","kind":"arxiv","version":1}},"canonical_sha256":"1fa3054327099027662ee9e51aa31c00bb7615da60e26d5f660bf0f7383c2dd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fa3054327099027662ee9e51aa31c00bb7615da60e26d5f660bf0f7383c2dd1","first_computed_at":"2026-05-18T01:55:58.892364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:58.892364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yWSdCBPqf9AgECShtWuigS3ZS0yAgq6HjVDx6d10QtWN5NnttmXzKKydyoVPHzsznqffGVGRLOMEMUP1E6mKAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:58.892926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b98e74b67cb9ceddf69a4cee30d6a98b9de50fef6209485b2e251a61087102f8","sha256:458be426d0dea5f6c8890d05544aac697f1daaedfd3ea8951d292d5e46956d0d"],"state_sha256":"169fb7a4d83b88236fb728d855d688924a3aa22d3690e7e8c89c5801442bf4bb"}