{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KTRSOLXMZWO66WD4HE3UBML3KX","short_pith_number":"pith:KTRSOLXM","schema_version":"1.0","canonical_sha256":"54e3272eeccd9def587c393740b17b55fb39e342ee6a0fb3e2a3fbe65fa58096","source":{"kind":"arxiv","id":"1804.00228","version":2},"attestation_state":"computed","paper":{"title":"Deligne--Illusie Classes as Arithmetic Kodaira--Spencer Classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.LO"],"primary_cat":"math.NT","authors_text":"David Zureick-Brown, Taylor Dupuy","submitted_at":"2018-03-31T23:39:11Z","abstract_excerpt":"Faltings showed that \"arithmetic Kodaira--Spencer classes\" satisfying a certain compatibility axiom cannot exist.\n  By modifying his definitions slightly, we show that the Deligne--Illusie classes satisfy what could be considered an \"arithmetic Kodaira--Spencer\" compatibility condition.\n  Afterwards we discuss a \"wittfinitesimal Torelli problem\" and its relation to CM Jacobians."},"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":"1804.00228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-31T23:39:11Z","cross_cats_sorted":["math.AG","math.LO"],"title_canon_sha256":"890e4b3342eedbe8bcb873b82d0deb08a0ccfeeed01b0c69d58b9e3a873ecaf6","abstract_canon_sha256":"b1fa2446687bc07554d1a2e56b720b37c95f13519bf24f1484f144947aaf0b34"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:25.065373Z","signature_b64":"SVttGDgES2ReKueF9yI5lNgHVHvo4FqM4qSwTNyj0ZSnRKrI78lSvB2EexLPnEz8AV+eiFZT5BUy6iQXmDPxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54e3272eeccd9def587c393740b17b55fb39e342ee6a0fb3e2a3fbe65fa58096","last_reissued_at":"2026-05-18T00:18:25.064665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:25.064665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deligne--Illusie Classes as Arithmetic Kodaira--Spencer Classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.LO"],"primary_cat":"math.NT","authors_text":"David Zureick-Brown, Taylor Dupuy","submitted_at":"2018-03-31T23:39:11Z","abstract_excerpt":"Faltings showed that \"arithmetic Kodaira--Spencer classes\" satisfying a certain compatibility axiom cannot exist.\n  By modifying his definitions slightly, we show that the Deligne--Illusie classes satisfy what could be considered an \"arithmetic Kodaira--Spencer\" compatibility condition.\n  Afterwards we discuss a \"wittfinitesimal Torelli problem\" and its relation to CM Jacobians."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00228","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":"1804.00228","created_at":"2026-05-18T00:18:25.064769+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.00228v2","created_at":"2026-05-18T00:18:25.064769+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00228","created_at":"2026-05-18T00:18:25.064769+00:00"},{"alias_kind":"pith_short_12","alias_value":"KTRSOLXMZWO6","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KTRSOLXMZWO66WD4","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KTRSOLXM","created_at":"2026-05-18T12:32:33.847187+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/KTRSOLXMZWO66WD4HE3UBML3KX","json":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX.json","graph_json":"https://pith.science/api/pith-number/KTRSOLXMZWO66WD4HE3UBML3KX/graph.json","events_json":"https://pith.science/api/pith-number/KTRSOLXMZWO66WD4HE3UBML3KX/events.json","paper":"https://pith.science/paper/KTRSOLXM"},"agent_actions":{"view_html":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX","download_json":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX.json","view_paper":"https://pith.science/paper/KTRSOLXM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.00228&json=true","fetch_graph":"https://pith.science/api/pith-number/KTRSOLXMZWO66WD4HE3UBML3KX/graph.json","fetch_events":"https://pith.science/api/pith-number/KTRSOLXMZWO66WD4HE3UBML3KX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX/action/storage_attestation","attest_author":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX/action/author_attestation","sign_citation":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX/action/citation_signature","submit_replication":"https://pith.science/pith/KTRSOLXMZWO66WD4HE3UBML3KX/action/replication_record"}},"created_at":"2026-05-18T00:18:25.064769+00:00","updated_at":"2026-05-18T00:18:25.064769+00:00"}