{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LODYZESCRDIVLPABGW7Q734FGS","short_pith_number":"pith:LODYZESC","schema_version":"1.0","canonical_sha256":"5b878c924288d155bc0135bf0fef85348cc17d3370ae0b259900405ca133fc35","source":{"kind":"arxiv","id":"1809.06315","version":1},"attestation_state":"computed","paper":{"title":"On some differential-geometric aspects of the Torelli map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alessandro Ghigi","submitted_at":"2018-09-17T16:41:24Z","abstract_excerpt":"In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside $\\mathsf{A}_g$. We describe the second fundamental form of the Torelli map as a multiplication map, recall the relation between totally geodesic subvarieties and Hodge loci and survey various results related to totally geodesic subvarieties and the Jacobian locus."},"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":"1809.06315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-17T16:41:24Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"2429268a9a4b30b7fb8ce7ae988aa5567237b11616092c4fdbf355bb5ffddb87","abstract_canon_sha256":"4387a2ca6bf0c98205bf95c4d115cb35b35efe3e5a325e1d1ac8b6c55bbbd5e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:35.040357Z","signature_b64":"9dP4Ztach0qfseT+kpIjwKePRbYoczdWK9UIilPDg2WOfpluWz362M07B9I+i7/AUywqax/ATLfcrdUW0cLjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b878c924288d155bc0135bf0fef85348cc17d3370ae0b259900405ca133fc35","last_reissued_at":"2026-05-18T00:05:35.039888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:35.039888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On some differential-geometric aspects of the Torelli map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alessandro Ghigi","submitted_at":"2018-09-17T16:41:24Z","abstract_excerpt":"In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside $\\mathsf{A}_g$. We describe the second fundamental form of the Torelli map as a multiplication map, recall the relation between totally geodesic subvarieties and Hodge loci and survey various results related to totally geodesic subvarieties and the Jacobian locus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06315","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":"1809.06315","created_at":"2026-05-18T00:05:35.039959+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.06315v1","created_at":"2026-05-18T00:05:35.039959+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06315","created_at":"2026-05-18T00:05:35.039959+00:00"},{"alias_kind":"pith_short_12","alias_value":"LODYZESCRDIV","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LODYZESCRDIVLPAB","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LODYZESC","created_at":"2026-05-18T12:32:37.024351+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/LODYZESCRDIVLPABGW7Q734FGS","json":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS.json","graph_json":"https://pith.science/api/pith-number/LODYZESCRDIVLPABGW7Q734FGS/graph.json","events_json":"https://pith.science/api/pith-number/LODYZESCRDIVLPABGW7Q734FGS/events.json","paper":"https://pith.science/paper/LODYZESC"},"agent_actions":{"view_html":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS","download_json":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS.json","view_paper":"https://pith.science/paper/LODYZESC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.06315&json=true","fetch_graph":"https://pith.science/api/pith-number/LODYZESCRDIVLPABGW7Q734FGS/graph.json","fetch_events":"https://pith.science/api/pith-number/LODYZESCRDIVLPABGW7Q734FGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS/action/storage_attestation","attest_author":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS/action/author_attestation","sign_citation":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS/action/citation_signature","submit_replication":"https://pith.science/pith/LODYZESCRDIVLPABGW7Q734FGS/action/replication_record"}},"created_at":"2026-05-18T00:05:35.039959+00:00","updated_at":"2026-05-18T00:05:35.039959+00:00"}