{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:776K7YQN24IFOSKGO5IWQC4K6E","short_pith_number":"pith:776K7YQN","schema_version":"1.0","canonical_sha256":"fffcafe20dd7105749467751680b8af11537ae1ecb075bafcc3925feda4ac417","source":{"kind":"arxiv","id":"1407.4102","version":2},"attestation_state":"computed","paper":{"title":"Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Genival da Silva Jr., Gregory Pearlstein, Matt Kerr","submitted_at":"2014-07-15T19:31:15Z","abstract_excerpt":"We collect evidence in support of a conjecture of Griffiths, Green and Kerr on the arithmetic of extension classes of limiting mixed Hodge structures arising from semistable degenerations over a number field. After briefly summarizing how a result of Iritani implies this conjecture for a collection of hypergeometric Calabi-Yau threefold examples studied by Doran and Morgan, the authors investigate a sequence of (non-hypergeometric) examples in dimensions 1 through 6 arising from Katz's theory of the middle convolution. A crucial role is played by the Mumford-Tate group (of type G2) of the fami"},"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":"1407.4102","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-15T19:31:15Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"8e8b6bf1028911b985e14579fcd500774ef0eb82dcf124ac5b07f0f9f7b487f3","abstract_canon_sha256":"9098f8482c0253a3f7efa1c4f89d125d07cd356a2f08ef8d26fd05fda620a16c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:44.449152Z","signature_b64":"Eolv8NozxU2yYyCWnImSvHC13pGz2nBUVFV6o/Bei/O1yc6pfpe+ZhAUI2OLWVi3dBdGagg9iCQc9yM1V42CDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fffcafe20dd7105749467751680b8af11537ae1ecb075bafcc3925feda4ac417","last_reissued_at":"2026-05-18T02:27:44.448667Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:44.448667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Genival da Silva Jr., Gregory Pearlstein, Matt Kerr","submitted_at":"2014-07-15T19:31:15Z","abstract_excerpt":"We collect evidence in support of a conjecture of Griffiths, Green and Kerr on the arithmetic of extension classes of limiting mixed Hodge structures arising from semistable degenerations over a number field. After briefly summarizing how a result of Iritani implies this conjecture for a collection of hypergeometric Calabi-Yau threefold examples studied by Doran and Morgan, the authors investigate a sequence of (non-hypergeometric) examples in dimensions 1 through 6 arising from Katz's theory of the middle convolution. A crucial role is played by the Mumford-Tate group (of type G2) of the fami"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4102","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":"1407.4102","created_at":"2026-05-18T02:27:44.448735+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.4102v2","created_at":"2026-05-18T02:27:44.448735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4102","created_at":"2026-05-18T02:27:44.448735+00:00"},{"alias_kind":"pith_short_12","alias_value":"776K7YQN24IF","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"776K7YQN24IFOSKG","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"776K7YQN","created_at":"2026-05-18T12:28:16.859392+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/776K7YQN24IFOSKGO5IWQC4K6E","json":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E.json","graph_json":"https://pith.science/api/pith-number/776K7YQN24IFOSKGO5IWQC4K6E/graph.json","events_json":"https://pith.science/api/pith-number/776K7YQN24IFOSKGO5IWQC4K6E/events.json","paper":"https://pith.science/paper/776K7YQN"},"agent_actions":{"view_html":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E","download_json":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E.json","view_paper":"https://pith.science/paper/776K7YQN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.4102&json=true","fetch_graph":"https://pith.science/api/pith-number/776K7YQN24IFOSKGO5IWQC4K6E/graph.json","fetch_events":"https://pith.science/api/pith-number/776K7YQN24IFOSKGO5IWQC4K6E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E/action/storage_attestation","attest_author":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E/action/author_attestation","sign_citation":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E/action/citation_signature","submit_replication":"https://pith.science/pith/776K7YQN24IFOSKGO5IWQC4K6E/action/replication_record"}},"created_at":"2026-05-18T02:27:44.448735+00:00","updated_at":"2026-05-18T02:27:44.448735+00:00"}