{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MRNX6RASIKX7PWFMG5VFNPIMXW","short_pith_number":"pith:MRNX6RAS","schema_version":"1.0","canonical_sha256":"645b7f441242aff7d8ac376a56bd0cbd9e1b8bc2a6848f910c1676d11c118245","source":{"kind":"arxiv","id":"1412.3484","version":1},"attestation_state":"computed","paper":{"title":"Categoricity and covering spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.LO","authors_text":"Adam Harris","submitted_at":"2014-12-10T22:21:04Z","abstract_excerpt":"This thesis develops some of the basic model theory of covers of algebraic curves. In particular, an equivalence between the good model-theoretic behaviour of the modular j-function, and the openness of certain Galois representations in the Tate-modules of abelian varieties is described."},"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":"1412.3484","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-12-10T22:21:04Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"724840643808750e03b2fbe3fb405dced4e067e9c5fd2cc5ed44831d31a0f335","abstract_canon_sha256":"94ebe1a0a78de3e478abf58b8042d460a7f743d1dec677cf69e18ee05e263e0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:36.476015Z","signature_b64":"DIb1/qHv2bFb+cEvuZHI4ymWT9KQh9vzjmJjnUKpAcV/p2Owjas2XjBg0MxRHhNnVM4609+E62PHsQxg/yHqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"645b7f441242aff7d8ac376a56bd0cbd9e1b8bc2a6848f910c1676d11c118245","last_reissued_at":"2026-05-18T02:31:36.475414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:36.475414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categoricity and covering spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.LO","authors_text":"Adam Harris","submitted_at":"2014-12-10T22:21:04Z","abstract_excerpt":"This thesis develops some of the basic model theory of covers of algebraic curves. In particular, an equivalence between the good model-theoretic behaviour of the modular j-function, and the openness of certain Galois representations in the Tate-modules of abelian varieties is described."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3484","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":"1412.3484","created_at":"2026-05-18T02:31:36.475506+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.3484v1","created_at":"2026-05-18T02:31:36.475506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3484","created_at":"2026-05-18T02:31:36.475506+00:00"},{"alias_kind":"pith_short_12","alias_value":"MRNX6RASIKX7","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MRNX6RASIKX7PWFM","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MRNX6RAS","created_at":"2026-05-18T12:28:38.356838+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/MRNX6RASIKX7PWFMG5VFNPIMXW","json":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW.json","graph_json":"https://pith.science/api/pith-number/MRNX6RASIKX7PWFMG5VFNPIMXW/graph.json","events_json":"https://pith.science/api/pith-number/MRNX6RASIKX7PWFMG5VFNPIMXW/events.json","paper":"https://pith.science/paper/MRNX6RAS"},"agent_actions":{"view_html":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW","download_json":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW.json","view_paper":"https://pith.science/paper/MRNX6RAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.3484&json=true","fetch_graph":"https://pith.science/api/pith-number/MRNX6RASIKX7PWFMG5VFNPIMXW/graph.json","fetch_events":"https://pith.science/api/pith-number/MRNX6RASIKX7PWFMG5VFNPIMXW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW/action/storage_attestation","attest_author":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW/action/author_attestation","sign_citation":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW/action/citation_signature","submit_replication":"https://pith.science/pith/MRNX6RASIKX7PWFMG5VFNPIMXW/action/replication_record"}},"created_at":"2026-05-18T02:31:36.475506+00:00","updated_at":"2026-05-18T02:31:36.475506+00:00"}