{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:Q4QOELWI2IJZYP46BF3PR2U7Q7","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":"f1b694a3b855a94c9b8d94dd60e45fd32299a9f6f8d9bb93cb7e7bc4fe9b9da2","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2003-09-24T16:20:12Z","title_canon_sha256":"2187f27fb1e323c761729ee750da5879e1ac1ea30d9f1e1e8aeea9569ea03475"},"schema_version":"1.0","source":{"id":"math/0309406","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0309406","created_at":"2026-05-18T04:23:10Z"},{"alias_kind":"arxiv_version","alias_value":"math/0309406v2","created_at":"2026-05-18T04:23:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0309406","created_at":"2026-05-18T04:23:10Z"},{"alias_kind":"pith_short_12","alias_value":"Q4QOELWI2IJZ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"Q4QOELWI2IJZYP46","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"Q4QOELWI","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:a08f13a5d23169306d7fcfd1f33e3a05858f9f08c3cf39825cb367c22acedc25","target":"graph","created_at":"2026-05-18T04:23:10Z","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 prove that a generic Steiner bundle E is simple if and only if the Euler characteristic of the endomorphism bundle of E is less or equal to 1. In particular we show that either E is exceptional or it satisfies the following inequality t\\leq(\\frac{n+1+\\sqrt((n+1)^2-4)}{2})s.","authors_text":"Maria Chiara Brambilla","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2003-09-24T16:20:12Z","title":"Simplicity of generic Steiner bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0309406","kind":"arxiv","version":2},"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":"sha256:3a6b7c0182030fb7acaa5281b93bd59950939d8f5ee3d285ecedcdb019a0cb6a","target":"record","created_at":"2026-05-18T04:23:10Z","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":"f1b694a3b855a94c9b8d94dd60e45fd32299a9f6f8d9bb93cb7e7bc4fe9b9da2","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2003-09-24T16:20:12Z","title_canon_sha256":"2187f27fb1e323c761729ee750da5879e1ac1ea30d9f1e1e8aeea9569ea03475"},"schema_version":"1.0","source":{"id":"math/0309406","kind":"arxiv","version":2}},"canonical_sha256":"8720e22ec8d2139c3f9e0976f8ea9f87d1c53a3eadeb5a9a5e79741b0dd479c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8720e22ec8d2139c3f9e0976f8ea9f87d1c53a3eadeb5a9a5e79741b0dd479c4","first_computed_at":"2026-05-18T04:23:10.924246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:10.924246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xOnfrOrTJrMKjv3ECfoQ0g0ylrv0sgstcZuBI8YPClllAdUk2CZ6XJKaFpW8QN22KnpizX6c1OazptJl+URuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:10.924651Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0309406","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a6b7c0182030fb7acaa5281b93bd59950939d8f5ee3d285ecedcdb019a0cb6a","sha256:a08f13a5d23169306d7fcfd1f33e3a05858f9f08c3cf39825cb367c22acedc25"],"state_sha256":"495c19817bf256044ccdb2043f6eb2b96f6e0aed163fd9127896aafcd04292f0"}