{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HKDSYPJXRU32OQZCIYWSR4YQMN","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":"f3bb65e18dc9ad560e43d8adf06681acb8e8a11be80c599a0a965e640aab5465","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-29T12:16:56Z","title_canon_sha256":"ea2e1f43a6ce7bdf0fc90d2ae1b9487b33ca8d1197adef940063a5e0571d3e49"},"schema_version":"1.0","source":{"id":"1611.09585","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09585","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09585v2","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09585","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"pith_short_12","alias_value":"HKDSYPJXRU32","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HKDSYPJXRU32OQZC","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HKDSYPJX","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:1a8bc4a0f30b0a1598f67e18e8bf963a6c51e0867bc8410e0e4c8fd889286927","target":"graph","created_at":"2026-05-18T00:52:03Z","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":"A vector bundle on a smooth projective variety, if it is generically generated by global sections, yields a rational map to a Grassmannian, called Kodaira map. We investigate the asymptotic behaviour of the Kodaira maps for the symmetric powers of a vector bundle, and we show that these maps stabilize to a map dominating all of them, as it happens for a line bundle via the Iitka fibration. Through this Iitaka-type construction, applied to the cotangent bundle, we give a new characterization of Abelian varieties.","authors_text":"Ernesto C. Mistretta, Stefano Urbinati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-29T12:16:56Z","title":"Iitaka fibrations for vector bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09585","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:e1effdb560c2e0be47d7e71664cb478d386de78f847eba327b78952fe486895b","target":"record","created_at":"2026-05-18T00:52:03Z","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":"f3bb65e18dc9ad560e43d8adf06681acb8e8a11be80c599a0a965e640aab5465","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-29T12:16:56Z","title_canon_sha256":"ea2e1f43a6ce7bdf0fc90d2ae1b9487b33ca8d1197adef940063a5e0571d3e49"},"schema_version":"1.0","source":{"id":"1611.09585","kind":"arxiv","version":2}},"canonical_sha256":"3a872c3d378d37a74322462d28f31063447dc58369e185e43dc6b53ee5acefc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a872c3d378d37a74322462d28f31063447dc58369e185e43dc6b53ee5acefc7","first_computed_at":"2026-05-18T00:52:03.726137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:03.726137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WAKQAv/y+FEzdnAzDRpeOE1rV9o5WF8uZLhqY8cGJ9FtMloIvgG1Fw6hGAcTBNs/MzOyoSpEJhinO5I0VKsnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:03.726690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09585","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1effdb560c2e0be47d7e71664cb478d386de78f847eba327b78952fe486895b","sha256:1a8bc4a0f30b0a1598f67e18e8bf963a6c51e0867bc8410e0e4c8fd889286927"],"state_sha256":"3ba2fc6bc494728f844ab88cc68cab909e3650556f952f2f959fc0ac2dc597c6"}