{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HP2EAXTRZXLH6VZWAXE3IZP3JU","short_pith_number":"pith:HP2EAXTR","schema_version":"1.0","canonical_sha256":"3bf4405e71cdd67f573605c9b465fb4d2bf599ae6404e9c36c04323dadb26077","source":{"kind":"arxiv","id":"1905.00058","version":1},"attestation_state":"computed","paper":{"title":"$C_2$-equivariant Homology Operations: Results and Formulas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Dylan Wilson","submitted_at":"2019-04-30T18:52:54Z","abstract_excerpt":"In this note we state corrected and expanded versions of our previous results on power operations for $C_2$-equivariant Bredon homology with coefficients in the constant Mackey functor on $\\mathbb{F}_2$. In particular, we give a version of the Adem relations. The proofs rely on certain results in equivariant higher algebra which we will supply in a longer version of this paper."},"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":"1905.00058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-04-30T18:52:54Z","cross_cats_sorted":[],"title_canon_sha256":"986af3af5c2677f6b63b37a43734a89a42336fbca31a2b4f8d39dd421dc374d5","abstract_canon_sha256":"4d806a375367170ca4364400b19bbfbb1e925f3448bf1eb33f76061c8b9f5505"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:15.294667Z","signature_b64":"RwaH3L4Cs8WPXv0ojqGxjud/Gg7vQ7f/yF5x3Gnnu8/D4gx1Aa6Qomi3LiNYkkhlaAzpADNIJay9jpD3smioAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bf4405e71cdd67f573605c9b465fb4d2bf599ae6404e9c36c04323dadb26077","last_reissued_at":"2026-05-17T23:47:15.294181Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:15.294181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$C_2$-equivariant Homology Operations: Results and Formulas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Dylan Wilson","submitted_at":"2019-04-30T18:52:54Z","abstract_excerpt":"In this note we state corrected and expanded versions of our previous results on power operations for $C_2$-equivariant Bredon homology with coefficients in the constant Mackey functor on $\\mathbb{F}_2$. In particular, we give a version of the Adem relations. The proofs rely on certain results in equivariant higher algebra which we will supply in a longer version of this paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00058","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":"1905.00058","created_at":"2026-05-17T23:47:15.294256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.00058v1","created_at":"2026-05-17T23:47:15.294256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.00058","created_at":"2026-05-17T23:47:15.294256+00:00"},{"alias_kind":"pith_short_12","alias_value":"HP2EAXTRZXLH","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"HP2EAXTRZXLH6VZW","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"HP2EAXTR","created_at":"2026-05-18T12:33:18.533446+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/HP2EAXTRZXLH6VZWAXE3IZP3JU","json":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU.json","graph_json":"https://pith.science/api/pith-number/HP2EAXTRZXLH6VZWAXE3IZP3JU/graph.json","events_json":"https://pith.science/api/pith-number/HP2EAXTRZXLH6VZWAXE3IZP3JU/events.json","paper":"https://pith.science/paper/HP2EAXTR"},"agent_actions":{"view_html":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU","download_json":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU.json","view_paper":"https://pith.science/paper/HP2EAXTR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.00058&json=true","fetch_graph":"https://pith.science/api/pith-number/HP2EAXTRZXLH6VZWAXE3IZP3JU/graph.json","fetch_events":"https://pith.science/api/pith-number/HP2EAXTRZXLH6VZWAXE3IZP3JU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU/action/storage_attestation","attest_author":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU/action/author_attestation","sign_citation":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU/action/citation_signature","submit_replication":"https://pith.science/pith/HP2EAXTRZXLH6VZWAXE3IZP3JU/action/replication_record"}},"created_at":"2026-05-17T23:47:15.294256+00:00","updated_at":"2026-05-17T23:47:15.294256+00:00"}