{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:YTAWIV2QQBC5RAD57N7BPRU7OY","short_pith_number":"pith:YTAWIV2Q","schema_version":"1.0","canonical_sha256":"c4c16457508045d8807dfb7e17c69f76292399ab5f9c73139dfaa0dc05623271","source":{"kind":"arxiv","id":"2401.13284","version":3},"attestation_state":"computed","paper":{"title":"On the number of real forms of a complex variety","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gerard van der Geer, Xun Yu","submitted_at":"2024-01-24T07:57:02Z","abstract_excerpt":"We give a bound on the number of weighted real forms of a complex variety with finite automorphism group, where the weight is the inverse of the number of automorphisms of the real form. We give another bound involving the Sylow 2-subgroup and as an application we give bounds on real forms of plane curves."},"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":"2401.13284","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2024-01-24T07:57:02Z","cross_cats_sorted":[],"title_canon_sha256":"cff64e8272a14ec5ad2b4d4f2b772e4d641f4e1a91090cb492bde9ccdfd63252","abstract_canon_sha256":"8dacc728223c569946411214fefae8e80275457e627e0fab311241eb659af351"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T14:03:17.217346Z","signature_b64":"WraOm4SpJRC2Swwj11a1TkQpyBXAfmJJ2cWyHKNeU+2hBON0D36zKNsrt33kOPga1EHOJlfS1t17uFoAteJpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4c16457508045d8807dfb7e17c69f76292399ab5f9c73139dfaa0dc05623271","last_reissued_at":"2026-05-20T14:03:17.216853Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T14:03:17.216853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the number of real forms of a complex variety","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gerard van der Geer, Xun Yu","submitted_at":"2024-01-24T07:57:02Z","abstract_excerpt":"We give a bound on the number of weighted real forms of a complex variety with finite automorphism group, where the weight is the inverse of the number of automorphisms of the real form. We give another bound involving the Sylow 2-subgroup and as an application we give bounds on real forms of plane curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.13284","kind":"arxiv","version":3},"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/2401.13284/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":"2401.13284","created_at":"2026-05-20T14:03:17.216934+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.13284v3","created_at":"2026-05-20T14:03:17.216934+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.13284","created_at":"2026-05-20T14:03:17.216934+00:00"},{"alias_kind":"pith_short_12","alias_value":"YTAWIV2QQBC5","created_at":"2026-05-20T14:03:17.216934+00:00"},{"alias_kind":"pith_short_16","alias_value":"YTAWIV2QQBC5RAD5","created_at":"2026-05-20T14:03:17.216934+00:00"},{"alias_kind":"pith_short_8","alias_value":"YTAWIV2Q","created_at":"2026-05-20T14:03:17.216934+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/YTAWIV2QQBC5RAD57N7BPRU7OY","json":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY.json","graph_json":"https://pith.science/api/pith-number/YTAWIV2QQBC5RAD57N7BPRU7OY/graph.json","events_json":"https://pith.science/api/pith-number/YTAWIV2QQBC5RAD57N7BPRU7OY/events.json","paper":"https://pith.science/paper/YTAWIV2Q"},"agent_actions":{"view_html":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY","download_json":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY.json","view_paper":"https://pith.science/paper/YTAWIV2Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.13284&json=true","fetch_graph":"https://pith.science/api/pith-number/YTAWIV2QQBC5RAD57N7BPRU7OY/graph.json","fetch_events":"https://pith.science/api/pith-number/YTAWIV2QQBC5RAD57N7BPRU7OY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY/action/storage_attestation","attest_author":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY/action/author_attestation","sign_citation":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY/action/citation_signature","submit_replication":"https://pith.science/pith/YTAWIV2QQBC5RAD57N7BPRU7OY/action/replication_record"}},"created_at":"2026-05-20T14:03:17.216934+00:00","updated_at":"2026-05-20T14:03:17.216934+00:00"}