{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LBJQUOHKL4MHICHZFACS56VSQQ","short_pith_number":"pith:LBJQUOHK","schema_version":"1.0","canonical_sha256":"58530a38ea5f187408f928052efab2842e3777ac69557f40d299fa1b19b8ba0a","source":{"kind":"arxiv","id":"1310.5944","version":1},"attestation_state":"computed","paper":{"title":"Invariant hypersurfaces of endomorphisms of projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AG","authors_text":"De-Qi Zhang","submitted_at":"2013-10-22T15:02:14Z","abstract_excerpt":"We consider surjective endomorphisms f of degree > 1 on projective manifolds X of Picard number one and their f^{-1}-stable hypersurfaces V, and show that V is rationally chain connected. Also given is an optimal upper bound for the number of f^{-1}-stable prime divisors on (not necessarily smooth) projective varieties."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1310.5944","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-22T15:02:14Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"686631d407eae59eeaeb157cadc3e1b1b507440ca17761822f92bfe3f1f4aa19","abstract_canon_sha256":"4a3a44f90c5c96ecaf44f788f50d82783d8aee43add67696bbc7cd308714c6e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:14.999436Z","signature_b64":"a1art4EoiCirouOg/7P3ieheuyP+QAxkFjxz5xx5RZRQr5PKI+C/y3VLNdlDXqQTQcYGgtBWGmdoZ6CxJdyPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58530a38ea5f187408f928052efab2842e3777ac69557f40d299fa1b19b8ba0a","last_reissued_at":"2026-05-18T00:05:14.998751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:14.998751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariant hypersurfaces of endomorphisms of projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AG","authors_text":"De-Qi Zhang","submitted_at":"2013-10-22T15:02:14Z","abstract_excerpt":"We consider surjective endomorphisms f of degree > 1 on projective manifolds X of Picard number one and their f^{-1}-stable hypersurfaces V, and show that V is rationally chain connected. Also given is an optimal upper bound for the number of f^{-1}-stable prime divisors on (not necessarily smooth) projective varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5944","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.5944","created_at":"2026-05-18T00:05:14.998860+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.5944v1","created_at":"2026-05-18T00:05:14.998860+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5944","created_at":"2026-05-18T00:05:14.998860+00:00"},{"alias_kind":"pith_short_12","alias_value":"LBJQUOHKL4MH","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LBJQUOHKL4MHICHZ","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LBJQUOHK","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ","json":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ.json","graph_json":"https://pith.science/api/pith-number/LBJQUOHKL4MHICHZFACS56VSQQ/graph.json","events_json":"https://pith.science/api/pith-number/LBJQUOHKL4MHICHZFACS56VSQQ/events.json","paper":"https://pith.science/paper/LBJQUOHK"},"agent_actions":{"view_html":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ","download_json":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ.json","view_paper":"https://pith.science/paper/LBJQUOHK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.5944&json=true","fetch_graph":"https://pith.science/api/pith-number/LBJQUOHKL4MHICHZFACS56VSQQ/graph.json","fetch_events":"https://pith.science/api/pith-number/LBJQUOHKL4MHICHZFACS56VSQQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ/action/storage_attestation","attest_author":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ/action/author_attestation","sign_citation":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ/action/citation_signature","submit_replication":"https://pith.science/pith/LBJQUOHKL4MHICHZFACS56VSQQ/action/replication_record"}},"created_at":"2026-05-18T00:05:14.998860+00:00","updated_at":"2026-05-18T00:05:14.998860+00:00"}