{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VZCZ4P7ZRNOKKYEMPGUPXKHUZD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cccc13f950113a8d7b4f7b0575438319ddf580f51662b1d86316ab8a6bfaa42b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-23T14:07:20Z","title_canon_sha256":"5b6512a38229d18a01ead0f9347948326e1620c3f25e1800169c57a353fd7fa2"},"schema_version":"1.0","source":{"id":"1405.6069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6069","created_at":"2026-05-18T02:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6069v1","created_at":"2026-05-18T02:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6069","created_at":"2026-05-18T02:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"VZCZ4P7ZRNOK","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VZCZ4P7ZRNOKKYEM","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VZCZ4P7Z","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:5a577141bdbb364378df0836f86edab1c24021a86f5de2177b8760b6b1109b9d","target":"graph","created_at":"2026-05-18T02:45:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this article, we study the nature of zeros of weakly holomorphic modular forms. In particular, we prove results about transcendental zeros of modular forms of higher levels and for certain Fricke groups which extend a work of Kohnen. Furthermore, we investigate the algebraic independence of values of weakly holomorphic modular forms.","authors_text":"Biswajyoti Saha, Sanoli Gun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-23T14:07:20Z","title":"On the zeros of weakly holomorphic modular forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6069","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b40e3cbac24282a27c2f5f889559605285fe3c738286cf6aeb0a76b4c5aff93c","target":"record","created_at":"2026-05-18T02:45:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cccc13f950113a8d7b4f7b0575438319ddf580f51662b1d86316ab8a6bfaa42b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-23T14:07:20Z","title_canon_sha256":"5b6512a38229d18a01ead0f9347948326e1620c3f25e1800169c57a353fd7fa2"},"schema_version":"1.0","source":{"id":"1405.6069","kind":"arxiv","version":1}},"canonical_sha256":"ae459e3ff98b5ca5608c79a8fba8f4c8f9dbe37ee2ed217eb8b1d6af19461dc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae459e3ff98b5ca5608c79a8fba8f4c8f9dbe37ee2ed217eb8b1d6af19461dc2","first_computed_at":"2026-05-18T02:45:21.335766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:21.335766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FQdSF7wGQyxtUL5bufqgGNfv0Dd00zmkLWLTgPRdWJya0Aq6WbP6QV83Kr4fybIH7VngClE8IFMjtgRfdW/EDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:21.336145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b40e3cbac24282a27c2f5f889559605285fe3c738286cf6aeb0a76b4c5aff93c","sha256:5a577141bdbb364378df0836f86edab1c24021a86f5de2177b8760b6b1109b9d"],"state_sha256":"95a22de653302416d4eeb1dcd5ba00e52fc689dc368b97837419d142def37f67"}