{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YEZAWMCNHKKW3WZAPAMRY5NVXK","short_pith_number":"pith:YEZAWMCN","schema_version":"1.0","canonical_sha256":"c1320b304d3a956ddb2078191c75b5ba8a9c870f711c6907920be6dd0b0c9d58","source":{"kind":"arxiv","id":"1307.3977","version":2},"attestation_state":"computed","paper":{"title":"Compositions of birational endomorphisms of the affine plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Daigle, Pierrette Cassou-Nogu\\`es","submitted_at":"2013-07-15T14:54:36Z","abstract_excerpt":"Let A^2 denote the affine plane over an algebraically closed field of arbitrary characteristic. Besides contributing several new results in the general theory of birational endomorphisms of A^2, this article describes certain classes of birational endomorphisms f defined by requiring that the missing curves or contracting curves of f are lines. The last part of the article is concerned with the monoid structure of the set of birational endomorphisms of A^2."},"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":"1307.3977","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-15T14:54:36Z","cross_cats_sorted":[],"title_canon_sha256":"d4599f9637e9c658549ef2a4c2b358660ff83da341f74985c17864ecb872a3d4","abstract_canon_sha256":"e35826e406f8737a7ae2b797274768eb2653a54d13f860b5a5b1657f78016cc4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:25.200919Z","signature_b64":"77f5VMaQcYExMkIBo+axJ5XOPR0gjYpyzjEDvuxs0BA6gmwUytB/QonfbrUORFhdSm7LV9DEf43DI8vrs/mnBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1320b304d3a956ddb2078191c75b5ba8a9c870f711c6907920be6dd0b0c9d58","last_reissued_at":"2026-05-18T01:22:25.200220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:25.200220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compositions of birational endomorphisms of the affine plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Daigle, Pierrette Cassou-Nogu\\`es","submitted_at":"2013-07-15T14:54:36Z","abstract_excerpt":"Let A^2 denote the affine plane over an algebraically closed field of arbitrary characteristic. Besides contributing several new results in the general theory of birational endomorphisms of A^2, this article describes certain classes of birational endomorphisms f defined by requiring that the missing curves or contracting curves of f are lines. The last part of the article is concerned with the monoid structure of the set of birational endomorphisms of A^2."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3977","kind":"arxiv","version":2},"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":"1307.3977","created_at":"2026-05-18T01:22:25.200330+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.3977v2","created_at":"2026-05-18T01:22:25.200330+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3977","created_at":"2026-05-18T01:22:25.200330+00:00"},{"alias_kind":"pith_short_12","alias_value":"YEZAWMCNHKKW","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"YEZAWMCNHKKW3WZA","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"YEZAWMCN","created_at":"2026-05-18T12:28:06.772260+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/YEZAWMCNHKKW3WZAPAMRY5NVXK","json":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK.json","graph_json":"https://pith.science/api/pith-number/YEZAWMCNHKKW3WZAPAMRY5NVXK/graph.json","events_json":"https://pith.science/api/pith-number/YEZAWMCNHKKW3WZAPAMRY5NVXK/events.json","paper":"https://pith.science/paper/YEZAWMCN"},"agent_actions":{"view_html":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK","download_json":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK.json","view_paper":"https://pith.science/paper/YEZAWMCN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.3977&json=true","fetch_graph":"https://pith.science/api/pith-number/YEZAWMCNHKKW3WZAPAMRY5NVXK/graph.json","fetch_events":"https://pith.science/api/pith-number/YEZAWMCNHKKW3WZAPAMRY5NVXK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK/action/storage_attestation","attest_author":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK/action/author_attestation","sign_citation":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK/action/citation_signature","submit_replication":"https://pith.science/pith/YEZAWMCNHKKW3WZAPAMRY5NVXK/action/replication_record"}},"created_at":"2026-05-18T01:22:25.200330+00:00","updated_at":"2026-05-18T01:22:25.200330+00:00"}