{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:P755M6ULC3362HWPIDVXK3L2E7","short_pith_number":"pith:P755M6UL","schema_version":"1.0","canonical_sha256":"7ffbd67a8b16f7ed1ecf40eb756d7a27d7a8be408e1c0cc0433b0c9f9dde3c28","source":{"kind":"arxiv","id":"1606.07844","version":2},"attestation_state":"computed","paper":{"title":"Generating weights for the Weil representation attached to an even order cyclic quadratic module","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Cameron Franc, Gene S. Kopp, Luca Candelori","submitted_at":"2016-06-24T22:08:20Z","abstract_excerpt":"We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group. We then compute the generating weights for modular forms taking values in the Weil representation attached to cyclic quadratic modules of order 2p^r, where p is a prime greater than three. We also show that the generating weights approach a simple limiting distribution as p grows, or as r grows and p remains fixed."},"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":"1606.07844","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-24T22:08:20Z","cross_cats_sorted":[],"title_canon_sha256":"c0505beadcea88b917eadcfe961edd8bf32232c5ea2486c3da3d49313d082266","abstract_canon_sha256":"99a780895f9cdb9fb2388c91dfa3dfdda53b301f9eb6867a2ff99361d4ea4a2d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:46.920971Z","signature_b64":"LTuwasZbdkL2nlEurAmwpc02LBC6B4IqFm06r9mKHc/Qc8pm9Yp6XO047HRdET3SJsTZa6q0QaNRFvGn3LpuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ffbd67a8b16f7ed1ecf40eb756d7a27d7a8be408e1c0cc0433b0c9f9dde3c28","last_reissued_at":"2026-05-18T00:29:46.920523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:46.920523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generating weights for the Weil representation attached to an even order cyclic quadratic module","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Cameron Franc, Gene S. Kopp, Luca Candelori","submitted_at":"2016-06-24T22:08:20Z","abstract_excerpt":"We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group. We then compute the generating weights for modular forms taking values in the Weil representation attached to cyclic quadratic modules of order 2p^r, where p is a prime greater than three. We also show that the generating weights approach a simple limiting distribution as p grows, or as r grows and p remains fixed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07844","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":"1606.07844","created_at":"2026-05-18T00:29:46.920598+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.07844v2","created_at":"2026-05-18T00:29:46.920598+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07844","created_at":"2026-05-18T00:29:46.920598+00:00"},{"alias_kind":"pith_short_12","alias_value":"P755M6ULC336","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"P755M6ULC3362HWP","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"P755M6UL","created_at":"2026-05-18T12:30:39.010887+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/P755M6ULC3362HWPIDVXK3L2E7","json":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7.json","graph_json":"https://pith.science/api/pith-number/P755M6ULC3362HWPIDVXK3L2E7/graph.json","events_json":"https://pith.science/api/pith-number/P755M6ULC3362HWPIDVXK3L2E7/events.json","paper":"https://pith.science/paper/P755M6UL"},"agent_actions":{"view_html":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7","download_json":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7.json","view_paper":"https://pith.science/paper/P755M6UL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.07844&json=true","fetch_graph":"https://pith.science/api/pith-number/P755M6ULC3362HWPIDVXK3L2E7/graph.json","fetch_events":"https://pith.science/api/pith-number/P755M6ULC3362HWPIDVXK3L2E7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7/action/storage_attestation","attest_author":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7/action/author_attestation","sign_citation":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7/action/citation_signature","submit_replication":"https://pith.science/pith/P755M6ULC3362HWPIDVXK3L2E7/action/replication_record"}},"created_at":"2026-05-18T00:29:46.920598+00:00","updated_at":"2026-05-18T00:29:46.920598+00:00"}