{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3EU3NQLC7ZQVVOGHW64E3G3VGD","short_pith_number":"pith:3EU3NQLC","schema_version":"1.0","canonical_sha256":"d929b6c162fe615ab8c7b7b84d9b7530dd07d509b0e114ce0f89dee1ef8dd2e4","source":{"kind":"arxiv","id":"1507.05116","version":1},"attestation_state":"computed","paper":{"title":"Orientations and Topological Modular Forms with Level Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Dylan Wilson","submitted_at":"2015-07-17T20:58:15Z","abstract_excerpt":"Using the methods of Ando-Hopkins-Rezk, we describe the characteristic series arising from E-infinity genera valued in topological modular forms with level structure. We give examples of such series for tmf_0(N) and show that the Ochanine genus comes from an E-infinity ring map. We also show that, away from 6, certain tmf orientations of String cobordism descend to orientations of Spin cobordism."},"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":"1507.05116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-07-17T20:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"ac2e87898d00d6cc96360279b8ddeed430035f6f9139d0f7bd82c4686cd42cd2","abstract_canon_sha256":"f250f27701584bb82223034f771b8cbe6e63ffa784f9fc26390eef0e8cdad0c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:41.434338Z","signature_b64":"8KAnjLGJAzIGYtieXXrNivb7oklmfUS+nlic+SAy6eClAUfvj+itr8wViTi47bl+rQ7Bitd9lhb8Rwcs5mvkCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d929b6c162fe615ab8c7b7b84d9b7530dd07d509b0e114ce0f89dee1ef8dd2e4","last_reissued_at":"2026-05-18T01:36:41.433701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:41.433701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orientations and Topological Modular Forms with Level Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Dylan Wilson","submitted_at":"2015-07-17T20:58:15Z","abstract_excerpt":"Using the methods of Ando-Hopkins-Rezk, we describe the characteristic series arising from E-infinity genera valued in topological modular forms with level structure. We give examples of such series for tmf_0(N) and show that the Ochanine genus comes from an E-infinity ring map. We also show that, away from 6, certain tmf orientations of String cobordism descend to orientations of Spin cobordism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05116","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":"1507.05116","created_at":"2026-05-18T01:36:41.433791+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.05116v1","created_at":"2026-05-18T01:36:41.433791+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05116","created_at":"2026-05-18T01:36:41.433791+00:00"},{"alias_kind":"pith_short_12","alias_value":"3EU3NQLC7ZQV","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3EU3NQLC7ZQVVOGH","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3EU3NQLC","created_at":"2026-05-18T12:29:02.477457+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/3EU3NQLC7ZQVVOGHW64E3G3VGD","json":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD.json","graph_json":"https://pith.science/api/pith-number/3EU3NQLC7ZQVVOGHW64E3G3VGD/graph.json","events_json":"https://pith.science/api/pith-number/3EU3NQLC7ZQVVOGHW64E3G3VGD/events.json","paper":"https://pith.science/paper/3EU3NQLC"},"agent_actions":{"view_html":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD","download_json":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD.json","view_paper":"https://pith.science/paper/3EU3NQLC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.05116&json=true","fetch_graph":"https://pith.science/api/pith-number/3EU3NQLC7ZQVVOGHW64E3G3VGD/graph.json","fetch_events":"https://pith.science/api/pith-number/3EU3NQLC7ZQVVOGHW64E3G3VGD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD/action/storage_attestation","attest_author":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD/action/author_attestation","sign_citation":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD/action/citation_signature","submit_replication":"https://pith.science/pith/3EU3NQLC7ZQVVOGHW64E3G3VGD/action/replication_record"}},"created_at":"2026-05-18T01:36:41.433791+00:00","updated_at":"2026-05-18T01:36:41.433791+00:00"}