{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZUYBSQLBIMQDVLO4L7YVAX243M","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":"dee93f5de533ac52484df6e39de80ee00075d79a514cae65fbd260f20d3da997","cross_cats_sorted":["math.AG","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-24T09:38:26Z","title_canon_sha256":"0d5e313340ac14a70bc1515b107d99b5f680f6465ce1f4bfc6939abb155d838b"},"schema_version":"1.0","source":{"id":"1108.4792","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4792","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4792v1","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4792","created_at":"2026-05-18T04:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZUYBSQLBIMQD","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZUYBSQLBIMQDVLO4","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZUYBSQLB","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:52a081245131ff60abafebd5956cc1a6e0c73eaa02964a626bb08b01ad23e50b","target":"graph","created_at":"2026-05-18T04:14:46Z","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 f be a dominant meromorphic self-map on a compact Kaehler manifold X which preserves a fibration given by a meromorphic map from X to a compact Kaehler manifold Y. We compute the dynamical degrees of f in term of its dynamical degrees relative to the fibration and the dynamical degrees of the map g on Y which is induced by f. We derive from this result new properties of some fibrations intrinsically associated to X when this manifold admits an interesting dynamical system.","authors_text":"Tien-Cuong Dinh, Tuyen Trung Truong, Viet-Anh Nguyen","cross_cats":["math.AG","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-24T09:38:26Z","title":"On the dynamical degrees of meromorphic maps preserving a fibration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4792","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:a5b28fcb2d5f4fd6ca0d2405542e9d2cfee29490077e96acbc7597ee5d7fa154","target":"record","created_at":"2026-05-18T04:14:46Z","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":"dee93f5de533ac52484df6e39de80ee00075d79a514cae65fbd260f20d3da997","cross_cats_sorted":["math.AG","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-24T09:38:26Z","title_canon_sha256":"0d5e313340ac14a70bc1515b107d99b5f680f6465ce1f4bfc6939abb155d838b"},"schema_version":"1.0","source":{"id":"1108.4792","kind":"arxiv","version":1}},"canonical_sha256":"cd3019416143203aaddc5ff1505f5cdb11ef2eda952cedb5335ede9a7a9ccda3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd3019416143203aaddc5ff1505f5cdb11ef2eda952cedb5335ede9a7a9ccda3","first_computed_at":"2026-05-18T04:14:46.773630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:46.773630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Av8+BRiLMbMPKlZfjXBZjvzRsyNhS8+RHUTjy2ss8MYc2WmANXwxBpWTwbfPl7KtlJIvbGWYOMvY6DQgp4VsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:46.774244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4792","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5b28fcb2d5f4fd6ca0d2405542e9d2cfee29490077e96acbc7597ee5d7fa154","sha256:52a081245131ff60abafebd5956cc1a6e0c73eaa02964a626bb08b01ad23e50b"],"state_sha256":"6fd2cf34aece192ba55486179599f089f04f318462efd89df7200edf4f50cdb8"}