{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YUGXYJKF35NCZOHBJ5T3OASTHM","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":"fbb271e0341ec22adbd34c28448811883708d4cd5d69d8a138c06e43f9f31b92","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-11T02:16:14Z","title_canon_sha256":"8483a2cbdf3d2dc20171310b1ca163ba51ced328b33cfdeaef39f00397985d39"},"schema_version":"1.0","source":{"id":"1404.2982","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2982","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2982v2","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2982","created_at":"2026-05-18T02:54:04Z"},{"alias_kind":"pith_short_12","alias_value":"YUGXYJKF35NC","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YUGXYJKF35NCZOHB","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YUGXYJKF","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:f2fb838c092535fec815753d9ab76d0f07c231e24402810ceb029235ec7234be","target":"graph","created_at":"2026-05-18T02:54:04Z","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":"Our aim is to illustrate how one can effectively apply the basic ideas and notions of topological entropy and dynamical degrees, together with recent progress of minimal model theory in higher dimension, for an explicit study of birational or biregular selfmaps of projective or compact K\\\"ahler manifolds, through concrete examples.","authors_text":"Keiji Oguiso","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-11T02:16:14Z","title":"Some aspects of explicit birational geometry inspired by complex dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2982","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":"sha256:4acceabddbf11eaeb7d4c949245c04f4cd71d5eb8d77dd6b8e65402fed93b36d","target":"record","created_at":"2026-05-18T02:54:04Z","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":"fbb271e0341ec22adbd34c28448811883708d4cd5d69d8a138c06e43f9f31b92","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-11T02:16:14Z","title_canon_sha256":"8483a2cbdf3d2dc20171310b1ca163ba51ced328b33cfdeaef39f00397985d39"},"schema_version":"1.0","source":{"id":"1404.2982","kind":"arxiv","version":2}},"canonical_sha256":"c50d7c2545df5a2cb8e14f67b702533b19c8160fbd6cab8c2b02ea9d52e6268e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c50d7c2545df5a2cb8e14f67b702533b19c8160fbd6cab8c2b02ea9d52e6268e","first_computed_at":"2026-05-18T02:54:04.610848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:04.610848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6lMnVVMTcCngqe8BOwC6HcS+T8WX2c43e4pieU8L0nCLyN8iu+hiPp958rZhCqwPwKXMOW57G4pDEh1pwVNmBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:04.611508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2982","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4acceabddbf11eaeb7d4c949245c04f4cd71d5eb8d77dd6b8e65402fed93b36d","sha256:f2fb838c092535fec815753d9ab76d0f07c231e24402810ceb029235ec7234be"],"state_sha256":"1b48614601d2a712d79743c67a89c6b84efb6e0891d1b5344788296fc16e175d"}