{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SH7DIKEUGO4VWCQWG5JJQORQTW","short_pith_number":"pith:SH7DIKEU","schema_version":"1.0","canonical_sha256":"91fe34289433b95b0a163752983a309d82ca08a527a28bb3a4824df5932175f4","source":{"kind":"arxiv","id":"1407.1262","version":1},"attestation_state":"computed","paper":{"title":"Introduction to Modular Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Simon Rose","submitted_at":"2014-07-04T15:13:33Z","abstract_excerpt":"We introduce the notion of modular forms, focusing primarily on the group PSL2Z. We further introduce quasi-modular forms, as wel as discuss their relation to physics and their applications in a variety of enumerative problems. These notes are based on a lecture given at the Field's institute during the thematic program on Calabi-Yau Varieties: Arithmetic, Geometry, and Physics."},"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":"1407.1262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-04T15:13:33Z","cross_cats_sorted":[],"title_canon_sha256":"1377e77e1c163d74f8150185366db6eedb8959618d4112894ba139fd3b081b72","abstract_canon_sha256":"6b5eb09459a06c1a036206df8b28b77c76e34fc8a9672b89896131e96d636e1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:18.238409Z","signature_b64":"J6m0Z3Y+9Z6vST/bfDM+coIBrTFoHaGqbR1eaSUptbUPX1loXp/QOxBOmOu0VKTWDMxcLiYoZAjt3f+TTHZmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91fe34289433b95b0a163752983a309d82ca08a527a28bb3a4824df5932175f4","last_reissued_at":"2026-05-18T02:48:18.237978Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:18.237978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Introduction to Modular Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Simon Rose","submitted_at":"2014-07-04T15:13:33Z","abstract_excerpt":"We introduce the notion of modular forms, focusing primarily on the group PSL2Z. We further introduce quasi-modular forms, as wel as discuss their relation to physics and their applications in a variety of enumerative problems. These notes are based on a lecture given at the Field's institute during the thematic program on Calabi-Yau Varieties: Arithmetic, Geometry, and Physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1262","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":"1407.1262","created_at":"2026-05-18T02:48:18.238043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1262v1","created_at":"2026-05-18T02:48:18.238043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1262","created_at":"2026-05-18T02:48:18.238043+00:00"},{"alias_kind":"pith_short_12","alias_value":"SH7DIKEUGO4V","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SH7DIKEUGO4VWCQW","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SH7DIKEU","created_at":"2026-05-18T12:28:49.207871+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/SH7DIKEUGO4VWCQWG5JJQORQTW","json":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW.json","graph_json":"https://pith.science/api/pith-number/SH7DIKEUGO4VWCQWG5JJQORQTW/graph.json","events_json":"https://pith.science/api/pith-number/SH7DIKEUGO4VWCQWG5JJQORQTW/events.json","paper":"https://pith.science/paper/SH7DIKEU"},"agent_actions":{"view_html":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW","download_json":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW.json","view_paper":"https://pith.science/paper/SH7DIKEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1262&json=true","fetch_graph":"https://pith.science/api/pith-number/SH7DIKEUGO4VWCQWG5JJQORQTW/graph.json","fetch_events":"https://pith.science/api/pith-number/SH7DIKEUGO4VWCQWG5JJQORQTW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW/action/storage_attestation","attest_author":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW/action/author_attestation","sign_citation":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW/action/citation_signature","submit_replication":"https://pith.science/pith/SH7DIKEUGO4VWCQWG5JJQORQTW/action/replication_record"}},"created_at":"2026-05-18T02:48:18.238043+00:00","updated_at":"2026-05-18T02:48:18.238043+00:00"}