{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:D52ZXUHZVNRZT5QGGFNWEJUD7J","short_pith_number":"pith:D52ZXUHZ","schema_version":"1.0","canonical_sha256":"1f759bd0f9ab6399f606315b622683fa609f7ca2b1a103aa3c63f667efc6538e","source":{"kind":"arxiv","id":"1708.03354","version":3},"attestation_state":"computed","paper":{"title":"A class of non-holomorphic modular forms II : equivariant iterated Eisenstein integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francis Brown","submitted_at":"2017-08-10T18:39:34Z","abstract_excerpt":"We introduce a new family of real analytic modular forms on the upper half plane. They are arguably the simplest class of `mixed' versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of holomorphic Eisenstein series. They form an algebra of functions satisfying many properties analogous to classical holomorphic modular forms. In particular, they admit expansions in $q, \\overline{q}$ and $\\log |q|$ involving only rational numbers and single-valued multiple zeta values. The first non-trivial functions in this class are real analytic Eis"},"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":"1708.03354","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-08-10T18:39:34Z","cross_cats_sorted":[],"title_canon_sha256":"c976899bd947d1af98c09bc3601f7b3345f63670e30fe2ec672865b337bb7876","abstract_canon_sha256":"3e4ae9134be29e48d57fdcf9fbf24bca14ef90c4522f9287a6561f9f2135c486"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:10.405081Z","signature_b64":"BN7OKAmFTITeStkZozLd+0q9Op42zlH99ZgNnjdWjiwiSao8iSW1UcFYqsz/vbG2AD/ZWdJgt7W9JzPf22huAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f759bd0f9ab6399f606315b622683fa609f7ca2b1a103aa3c63f667efc6538e","last_reissued_at":"2026-05-17T23:44:10.404524Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:10.404524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A class of non-holomorphic modular forms II : equivariant iterated Eisenstein integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francis Brown","submitted_at":"2017-08-10T18:39:34Z","abstract_excerpt":"We introduce a new family of real analytic modular forms on the upper half plane. They are arguably the simplest class of `mixed' versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of holomorphic Eisenstein series. They form an algebra of functions satisfying many properties analogous to classical holomorphic modular forms. In particular, they admit expansions in $q, \\overline{q}$ and $\\log |q|$ involving only rational numbers and single-valued multiple zeta values. The first non-trivial functions in this class are real analytic Eis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03354","kind":"arxiv","version":3},"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":"1708.03354","created_at":"2026-05-17T23:44:10.404595+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.03354v3","created_at":"2026-05-17T23:44:10.404595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03354","created_at":"2026-05-17T23:44:10.404595+00:00"},{"alias_kind":"pith_short_12","alias_value":"D52ZXUHZVNRZ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"D52ZXUHZVNRZT5QG","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"D52ZXUHZ","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"1907.02895","citing_title":"Period functions associated to real-analytic modular forms","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2503.02096","citing_title":"Deriving motivic coactions and single-valued maps at genus zero from zeta generators","ref_index":90,"is_internal_anchor":true},{"citing_arxiv_id":"2508.02800","citing_title":"Towards Motivic Coactions at Genus One from Zeta Generators","ref_index":124,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J","json":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J.json","graph_json":"https://pith.science/api/pith-number/D52ZXUHZVNRZT5QGGFNWEJUD7J/graph.json","events_json":"https://pith.science/api/pith-number/D52ZXUHZVNRZT5QGGFNWEJUD7J/events.json","paper":"https://pith.science/paper/D52ZXUHZ"},"agent_actions":{"view_html":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J","download_json":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J.json","view_paper":"https://pith.science/paper/D52ZXUHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.03354&json=true","fetch_graph":"https://pith.science/api/pith-number/D52ZXUHZVNRZT5QGGFNWEJUD7J/graph.json","fetch_events":"https://pith.science/api/pith-number/D52ZXUHZVNRZT5QGGFNWEJUD7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J/action/storage_attestation","attest_author":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J/action/author_attestation","sign_citation":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J/action/citation_signature","submit_replication":"https://pith.science/pith/D52ZXUHZVNRZT5QGGFNWEJUD7J/action/replication_record"}},"created_at":"2026-05-17T23:44:10.404595+00:00","updated_at":"2026-05-17T23:44:10.404595+00:00"}