{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KEPXPKHZO3BM2JGP4VZWKC6NSK","short_pith_number":"pith:KEPXPKHZ","schema_version":"1.0","canonical_sha256":"511f77a8f976c2cd24cfe573650bcd9289e2cb4f22a992c2c4e7e20ff1fc3eaa","source":{"kind":"arxiv","id":"1107.5603","version":2},"attestation_state":"computed","paper":{"title":"A note on Griffiths infinitesimal invariant for curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Emanuele Raviolo","submitted_at":"2011-07-27T23:02:22Z","abstract_excerpt":"Given a generic curve of genus $g\\geqslant4$ and a smooth point $L\\in W_{g-1}^{1}(C)$, whose linear system is base-point free, we consider the Abel-Jacobi normal function associated to $L^{\\otimes 2}\\otimes \\omega_{C}^{-1}$, when $(C,L)$ varies in moduli. We prove that its infinitesimal invariant reconstruct the couple $(C,L)$. When $g=4$, we obtain the generic Torelli theorem proved by Griffiths."},"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":"1107.5603","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-27T23:02:22Z","cross_cats_sorted":[],"title_canon_sha256":"636f4b4398e3c3ff67ab4a1f2da46aec98d65e6250fa0bb4603b6c6ca25d756d","abstract_canon_sha256":"8834951ec1b5b9261bcba54ba6a343d4eb06378573fecb7b08f45d82d3c85af9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:32.301368Z","signature_b64":"z0JgbfMhyYr1gAmo6YJDyQ7eqrYo4/l38ICqrQboIhhvFtbMtkpjRQDC8sc+ovXs7NwocSy1p+RkOUBJ7G+8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"511f77a8f976c2cd24cfe573650bcd9289e2cb4f22a992c2c4e7e20ff1fc3eaa","last_reissued_at":"2026-05-18T03:42:32.300718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:32.300718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on Griffiths infinitesimal invariant for curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Emanuele Raviolo","submitted_at":"2011-07-27T23:02:22Z","abstract_excerpt":"Given a generic curve of genus $g\\geqslant4$ and a smooth point $L\\in W_{g-1}^{1}(C)$, whose linear system is base-point free, we consider the Abel-Jacobi normal function associated to $L^{\\otimes 2}\\otimes \\omega_{C}^{-1}$, when $(C,L)$ varies in moduli. We prove that its infinitesimal invariant reconstruct the couple $(C,L)$. When $g=4$, we obtain the generic Torelli theorem proved by Griffiths."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5603","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":"1107.5603","created_at":"2026-05-18T03:42:32.300818+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.5603v2","created_at":"2026-05-18T03:42:32.300818+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5603","created_at":"2026-05-18T03:42:32.300818+00:00"},{"alias_kind":"pith_short_12","alias_value":"KEPXPKHZO3BM","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"KEPXPKHZO3BM2JGP","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"KEPXPKHZ","created_at":"2026-05-18T12:26:32.869790+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/KEPXPKHZO3BM2JGP4VZWKC6NSK","json":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK.json","graph_json":"https://pith.science/api/pith-number/KEPXPKHZO3BM2JGP4VZWKC6NSK/graph.json","events_json":"https://pith.science/api/pith-number/KEPXPKHZO3BM2JGP4VZWKC6NSK/events.json","paper":"https://pith.science/paper/KEPXPKHZ"},"agent_actions":{"view_html":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK","download_json":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK.json","view_paper":"https://pith.science/paper/KEPXPKHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.5603&json=true","fetch_graph":"https://pith.science/api/pith-number/KEPXPKHZO3BM2JGP4VZWKC6NSK/graph.json","fetch_events":"https://pith.science/api/pith-number/KEPXPKHZO3BM2JGP4VZWKC6NSK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK/action/storage_attestation","attest_author":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK/action/author_attestation","sign_citation":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK/action/citation_signature","submit_replication":"https://pith.science/pith/KEPXPKHZO3BM2JGP4VZWKC6NSK/action/replication_record"}},"created_at":"2026-05-18T03:42:32.300818+00:00","updated_at":"2026-05-18T03:42:32.300818+00:00"}