{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OG2AMI7NHYRNUKC7ANQMJ6DGHD","short_pith_number":"pith:OG2AMI7N","schema_version":"1.0","canonical_sha256":"71b40623ed3e22da285f0360c4f86638e2898bf5c02e2cbebbab0b61d5a3d92c","source":{"kind":"arxiv","id":"2410.18427","version":1},"attestation_state":"computed","paper":{"title":"Group actions and irrationality in surface families","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Louis Esser, Nathan Chen","submitted_at":"2024-10-24T04:27:03Z","abstract_excerpt":"Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action."},"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":"2410.18427","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-10-24T04:27:03Z","cross_cats_sorted":[],"title_canon_sha256":"7a69ab8ec3a5b88dcf5b159b5eabf215a4926c9c537efda58aa1da1610e04224","abstract_canon_sha256":"a67d63e035bed94bf24f977de4977c04455b4997a1d1be8482af15caf72ef675"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:25:08.063868Z","signature_b64":"JYH9Bi/fa3BkOtldrg/hLkcFyph+zRb0cSXNubtuU2A59bJYCBzspTSv5CcRryKyWvfAGE/uWCdN8OI4jeDkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71b40623ed3e22da285f0360c4f86638e2898bf5c02e2cbebbab0b61d5a3d92c","last_reissued_at":"2026-07-05T09:25:08.063391Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:25:08.063391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Group actions and irrationality in surface families","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Louis Esser, Nathan Chen","submitted_at":"2024-10-24T04:27:03Z","abstract_excerpt":"Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.18427","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.18427/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2410.18427","created_at":"2026-07-05T09:25:08.063442+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.18427v1","created_at":"2026-07-05T09:25:08.063442+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.18427","created_at":"2026-07-05T09:25:08.063442+00:00"},{"alias_kind":"pith_short_12","alias_value":"OG2AMI7NHYRN","created_at":"2026-07-05T09:25:08.063442+00:00"},{"alias_kind":"pith_short_16","alias_value":"OG2AMI7NHYRNUKC7","created_at":"2026-07-05T09:25:08.063442+00:00"},{"alias_kind":"pith_short_8","alias_value":"OG2AMI7N","created_at":"2026-07-05T09:25:08.063442+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.03783","citing_title":"A primer on measures of irrationality","ref_index":2024,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD","json":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD.json","graph_json":"https://pith.science/api/pith-number/OG2AMI7NHYRNUKC7ANQMJ6DGHD/graph.json","events_json":"https://pith.science/api/pith-number/OG2AMI7NHYRNUKC7ANQMJ6DGHD/events.json","paper":"https://pith.science/paper/OG2AMI7N"},"agent_actions":{"view_html":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD","download_json":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD.json","view_paper":"https://pith.science/paper/OG2AMI7N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.18427&json=true","fetch_graph":"https://pith.science/api/pith-number/OG2AMI7NHYRNUKC7ANQMJ6DGHD/graph.json","fetch_events":"https://pith.science/api/pith-number/OG2AMI7NHYRNUKC7ANQMJ6DGHD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD/action/storage_attestation","attest_author":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD/action/author_attestation","sign_citation":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD/action/citation_signature","submit_replication":"https://pith.science/pith/OG2AMI7NHYRNUKC7ANQMJ6DGHD/action/replication_record"}},"created_at":"2026-07-05T09:25:08.063442+00:00","updated_at":"2026-07-05T09:25:08.063442+00:00"}