{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:7X2CMKKZIX2KEUWKFQ7PD55RIK","short_pith_number":"pith:7X2CMKKZ","schema_version":"1.0","canonical_sha256":"fdf426295945f4a252ca2c3ef1f7b142a0e5b44b548a699cbbd2daf643ef2f59","source":{"kind":"arxiv","id":"1706.00564","version":2},"attestation_state":"computed","paper":{"title":"A universal Torelli theorem for elliptic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RT"],"primary_cat":"math.AG","authors_text":"C. S. Rajan, S. Subramanian","submitted_at":"2017-06-02T06:09:24Z","abstract_excerpt":"Given two semistable, non potentially isotrivial elliptic surfaces over a curve $C$ defined over a field of characteristic zero or finitely generated over its prime field, we show that any compatible family of effective isometries of the N{\\'e}ron-Severi lattices of the base changed elliptic surfaces for all finite separable maps $B\\to C$ arises from an isomorphism of the elliptic surfaces. Without the effectivity hypothesis, we show that the two elliptic surfaces are isomorphic.\n  We also determine the group of universal automorphisms of a semistable elliptic surface. In particular, this incl"},"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":"1706.00564","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-02T06:09:24Z","cross_cats_sorted":["math.NT","math.RT"],"title_canon_sha256":"6f81298f8c6fa0541e9cfc408344cba962a4d5165aef4ed640b0a6fb4b6b605f","abstract_canon_sha256":"abb9636b0504d68dbc09fe8d2153b0f1d654e3d65c8244cdf409d173d50fcc2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:12.811797Z","signature_b64":"T0THxHiptQ/BEenrfNvRyHOReSOMOZSx6EZPN29rPfMS+NTOjSoMYT421tgyzIj0FG+GmpCLcuhJF8zfwgl7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdf426295945f4a252ca2c3ef1f7b142a0e5b44b548a699cbbd2daf643ef2f59","last_reissued_at":"2026-05-18T00:40:12.811106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:12.811106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A universal Torelli theorem for elliptic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RT"],"primary_cat":"math.AG","authors_text":"C. S. Rajan, S. Subramanian","submitted_at":"2017-06-02T06:09:24Z","abstract_excerpt":"Given two semistable, non potentially isotrivial elliptic surfaces over a curve $C$ defined over a field of characteristic zero or finitely generated over its prime field, we show that any compatible family of effective isometries of the N{\\'e}ron-Severi lattices of the base changed elliptic surfaces for all finite separable maps $B\\to C$ arises from an isomorphism of the elliptic surfaces. Without the effectivity hypothesis, we show that the two elliptic surfaces are isomorphic.\n  We also determine the group of universal automorphisms of a semistable elliptic surface. In particular, this incl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00564","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":"1706.00564","created_at":"2026-05-18T00:40:12.811202+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.00564v2","created_at":"2026-05-18T00:40:12.811202+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00564","created_at":"2026-05-18T00:40:12.811202+00:00"},{"alias_kind":"pith_short_12","alias_value":"7X2CMKKZIX2K","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"7X2CMKKZIX2KEUWK","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"7X2CMKKZ","created_at":"2026-05-18T12:31:05.417338+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/7X2CMKKZIX2KEUWKFQ7PD55RIK","json":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK.json","graph_json":"https://pith.science/api/pith-number/7X2CMKKZIX2KEUWKFQ7PD55RIK/graph.json","events_json":"https://pith.science/api/pith-number/7X2CMKKZIX2KEUWKFQ7PD55RIK/events.json","paper":"https://pith.science/paper/7X2CMKKZ"},"agent_actions":{"view_html":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK","download_json":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK.json","view_paper":"https://pith.science/paper/7X2CMKKZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.00564&json=true","fetch_graph":"https://pith.science/api/pith-number/7X2CMKKZIX2KEUWKFQ7PD55RIK/graph.json","fetch_events":"https://pith.science/api/pith-number/7X2CMKKZIX2KEUWKFQ7PD55RIK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK/action/storage_attestation","attest_author":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK/action/author_attestation","sign_citation":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK/action/citation_signature","submit_replication":"https://pith.science/pith/7X2CMKKZIX2KEUWKFQ7PD55RIK/action/replication_record"}},"created_at":"2026-05-18T00:40:12.811202+00:00","updated_at":"2026-05-18T00:40:12.811202+00:00"}