{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YX6BDBXL4CE3APQ6E6RCZG7GA6","short_pith_number":"pith:YX6BDBXL","schema_version":"1.0","canonical_sha256":"c5fc1186ebe089b03e1e27a22c9be6078829d0b7e667fc84adc380a0025ea173","source":{"kind":"arxiv","id":"1603.09568","version":1},"attestation_state":"computed","paper":{"title":"Semi-positivity of logarithmic cotangent bundle and Shafarevich-Viehweg's conjecture, after Campana, Paun, Taji...","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Beno\\^it Claudon","submitted_at":"2016-03-31T13:03:33Z","abstract_excerpt":"Proven by A. Parshin and S. Arakelov in the early 70's, Shafaverich hyperbolicity conjecture states that a family of curves of genus $g\\ge2$ parametrized by a non hyperbolic curve (\\emph{i.e.} isomorphic to $\\mathbb{P}^1$, $\\mathbb{C}$, $\\mathbb{C}^*$ or an elliptic curve) has to be isotrivial : the moduli of smooth fibres are constant. In higher dimensions, Viehweg's works on moduli of canonically polarized manifolds led him to generalize this statement in the following way: if a family of canonically polarized manifolds (parametrized by a quasi-projective base) has maximal variation, the bas"},"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":"1603.09568","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-31T13:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"cc6250d6ba6c6c46bea11213b9fadb964f9ede811ca76a315c762bf37f531639","abstract_canon_sha256":"2b5aaaa3f78f7417fc5f6f0662225ab572c2105866cfb1539f99001d7d63b967"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:58.239797Z","signature_b64":"G8hp8rABxeZM1gXAMEZX5PpvsjIDZcb36dENCUQ1wRvVtd/SZEXEI61C9Eh6EhgRB+rKT3u+rlTYjWnlW3TVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5fc1186ebe089b03e1e27a22c9be6078829d0b7e667fc84adc380a0025ea173","last_reissued_at":"2026-05-18T01:17:58.238860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:58.238860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semi-positivity of logarithmic cotangent bundle and Shafarevich-Viehweg's conjecture, after Campana, Paun, Taji...","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Beno\\^it Claudon","submitted_at":"2016-03-31T13:03:33Z","abstract_excerpt":"Proven by A. Parshin and S. Arakelov in the early 70's, Shafaverich hyperbolicity conjecture states that a family of curves of genus $g\\ge2$ parametrized by a non hyperbolic curve (\\emph{i.e.} isomorphic to $\\mathbb{P}^1$, $\\mathbb{C}$, $\\mathbb{C}^*$ or an elliptic curve) has to be isotrivial : the moduli of smooth fibres are constant. In higher dimensions, Viehweg's works on moduli of canonically polarized manifolds led him to generalize this statement in the following way: if a family of canonically polarized manifolds (parametrized by a quasi-projective base) has maximal variation, the bas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09568","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":"1603.09568","created_at":"2026-05-18T01:17:58.239013+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.09568v1","created_at":"2026-05-18T01:17:58.239013+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09568","created_at":"2026-05-18T01:17:58.239013+00:00"},{"alias_kind":"pith_short_12","alias_value":"YX6BDBXL4CE3","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YX6BDBXL4CE3APQ6","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YX6BDBXL","created_at":"2026-05-18T12:30:53.716459+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/YX6BDBXL4CE3APQ6E6RCZG7GA6","json":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6.json","graph_json":"https://pith.science/api/pith-number/YX6BDBXL4CE3APQ6E6RCZG7GA6/graph.json","events_json":"https://pith.science/api/pith-number/YX6BDBXL4CE3APQ6E6RCZG7GA6/events.json","paper":"https://pith.science/paper/YX6BDBXL"},"agent_actions":{"view_html":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6","download_json":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6.json","view_paper":"https://pith.science/paper/YX6BDBXL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.09568&json=true","fetch_graph":"https://pith.science/api/pith-number/YX6BDBXL4CE3APQ6E6RCZG7GA6/graph.json","fetch_events":"https://pith.science/api/pith-number/YX6BDBXL4CE3APQ6E6RCZG7GA6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6/action/storage_attestation","attest_author":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6/action/author_attestation","sign_citation":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6/action/citation_signature","submit_replication":"https://pith.science/pith/YX6BDBXL4CE3APQ6E6RCZG7GA6/action/replication_record"}},"created_at":"2026-05-18T01:17:58.239013+00:00","updated_at":"2026-05-18T01:17:58.239013+00:00"}