{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XB5M4DHDVRWGCVKQU4LLDEVGHP","short_pith_number":"pith:XB5M4DHD","schema_version":"1.0","canonical_sha256":"b87ace0ce3ac6c615550a716b192a63bf505ac4b6027d40a282dedb6fb826ab4","source":{"kind":"arxiv","id":"1704.04547","version":2},"attestation_state":"computed","paper":{"title":"Motivic modular forms from equivariant stable homotopy theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Nicolas Ricka","submitted_at":"2017-04-14T21:45:05Z","abstract_excerpt":"In this paper, we produce a cellular motivic spectrum of motivic modular forms over $\\R$ and $\\C$, answering positively to a conjecture of Dan Isaksen. This spectrum is constructed to have the appropriate cohomology, as a module over the relevant motivic Steenrod algebra. We first produce a $\\G$-equivariant version of this spectrum, and then use a machinery to construct a motivic spectrum from an equivariant one. We believe that this machinery will be of independent interest."},"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":"1704.04547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-04-14T21:45:05Z","cross_cats_sorted":[],"title_canon_sha256":"f15d76fbbea8d8754f49556ccaec1b970daa58fa2aec65bf0c7da474973e6b68","abstract_canon_sha256":"821c298d34e35ea49fac8c45f76dc9daf1cfa1a44b3e769a4fef099930b55444"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:38.485540Z","signature_b64":"vzJftRKkcO45w68uasc9jx8hkKJkwj9lvXXJSp5zEfdcxySjKbgoAKcrsEUVEt80RXgqjVLnwgZHreV1QWL7AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b87ace0ce3ac6c615550a716b192a63bf505ac4b6027d40a282dedb6fb826ab4","last_reissued_at":"2026-05-18T00:45:38.484919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:38.484919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic modular forms from equivariant stable homotopy theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Nicolas Ricka","submitted_at":"2017-04-14T21:45:05Z","abstract_excerpt":"In this paper, we produce a cellular motivic spectrum of motivic modular forms over $\\R$ and $\\C$, answering positively to a conjecture of Dan Isaksen. This spectrum is constructed to have the appropriate cohomology, as a module over the relevant motivic Steenrod algebra. We first produce a $\\G$-equivariant version of this spectrum, and then use a machinery to construct a motivic spectrum from an equivariant one. We believe that this machinery will be of independent interest."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04547","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":"1704.04547","created_at":"2026-05-18T00:45:38.484998+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04547v2","created_at":"2026-05-18T00:45:38.484998+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04547","created_at":"2026-05-18T00:45:38.484998+00:00"},{"alias_kind":"pith_short_12","alias_value":"XB5M4DHDVRWG","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XB5M4DHDVRWGCVKQ","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XB5M4DHD","created_at":"2026-05-18T12:31:53.515858+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/XB5M4DHDVRWGCVKQU4LLDEVGHP","json":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP.json","graph_json":"https://pith.science/api/pith-number/XB5M4DHDVRWGCVKQU4LLDEVGHP/graph.json","events_json":"https://pith.science/api/pith-number/XB5M4DHDVRWGCVKQU4LLDEVGHP/events.json","paper":"https://pith.science/paper/XB5M4DHD"},"agent_actions":{"view_html":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP","download_json":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP.json","view_paper":"https://pith.science/paper/XB5M4DHD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04547&json=true","fetch_graph":"https://pith.science/api/pith-number/XB5M4DHDVRWGCVKQU4LLDEVGHP/graph.json","fetch_events":"https://pith.science/api/pith-number/XB5M4DHDVRWGCVKQU4LLDEVGHP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP/action/storage_attestation","attest_author":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP/action/author_attestation","sign_citation":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP/action/citation_signature","submit_replication":"https://pith.science/pith/XB5M4DHDVRWGCVKQU4LLDEVGHP/action/replication_record"}},"created_at":"2026-05-18T00:45:38.484998+00:00","updated_at":"2026-05-18T00:45:38.484998+00:00"}