{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:YHK6DGJI3XFICVPZKK7ADCEXO4","short_pith_number":"pith:YHK6DGJI","schema_version":"1.0","canonical_sha256":"c1d5e19928ddca8155f952be018897771e282c7cf0f64c8ee4af9e39079d5108","source":{"kind":"arxiv","id":"2006.13348","version":2},"attestation_state":"computed","paper":{"title":"Equivariant nonabelian Poincar\\'e duality and equivariant factorization homology of Thom spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Asaf Horev, Dylan Wilson, Foling Zou, Inbar Klang, Jeremy Hahn","submitted_at":"2020-06-23T21:41:03Z","abstract_excerpt":"In this paper, we study genuine equivariant factorization homology and its interaction with equivariant Thom spectra, which we construct using the language of parametrized higher category theory. We describe the genuine equivariant factorization homology of Thom spectra, and use this description to compute several examples of interest. A key ingredient for our computations is an equivariant nonabelian Poincar\\'e duality theorem, in which we prove that factorization homology with coefficients in a $G$-space is given by a mapping space. We compute the Real topological Hochschild homology ($THR$)"},"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":"2006.13348","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2020-06-23T21:41:03Z","cross_cats_sorted":[],"title_canon_sha256":"8fac466a10215200f3e4af33065c3402b30d4c0e145cc827686646de101adf40","abstract_canon_sha256":"746c1f2f467ab6467a2fae7621278b77ca163d37a74687a9596854abb9a9b248"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:40:47.308124Z","signature_b64":"C52oF11q92weY5gteE7Cmk5Qx4JMauSseOU+eukTjs7uQB2iDyMJhH+Jai+p/qQCoYj7YHA0V5grZUGnD/MiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1d5e19928ddca8155f952be018897771e282c7cf0f64c8ee4af9e39079d5108","last_reissued_at":"2026-07-05T07:40:47.307652Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:40:47.307652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant nonabelian Poincar\\'e duality and equivariant factorization homology of Thom spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Asaf Horev, Dylan Wilson, Foling Zou, Inbar Klang, Jeremy Hahn","submitted_at":"2020-06-23T21:41:03Z","abstract_excerpt":"In this paper, we study genuine equivariant factorization homology and its interaction with equivariant Thom spectra, which we construct using the language of parametrized higher category theory. We describe the genuine equivariant factorization homology of Thom spectra, and use this description to compute several examples of interest. A key ingredient for our computations is an equivariant nonabelian Poincar\\'e duality theorem, in which we prove that factorization homology with coefficients in a $G$-space is given by a mapping space. We compute the Real topological Hochschild homology ($THR$)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13348","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.13348/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2006.13348","created_at":"2026-07-05T07:40:47.307710+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.13348v2","created_at":"2026-07-05T07:40:47.307710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13348","created_at":"2026-07-05T07:40:47.307710+00:00"},{"alias_kind":"pith_short_12","alias_value":"YHK6DGJI3XFI","created_at":"2026-07-05T07:40:47.307710+00:00"},{"alias_kind":"pith_short_16","alias_value":"YHK6DGJI3XFICVPZ","created_at":"2026-07-05T07:40:47.307710+00:00"},{"alias_kind":"pith_short_8","alias_value":"YHK6DGJI","created_at":"2026-07-05T07:40:47.307710+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.02060","citing_title":"Equivariant twisted $R$-algebras via Thom spectra","ref_index":104,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4","json":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4.json","graph_json":"https://pith.science/api/pith-number/YHK6DGJI3XFICVPZKK7ADCEXO4/graph.json","events_json":"https://pith.science/api/pith-number/YHK6DGJI3XFICVPZKK7ADCEXO4/events.json","paper":"https://pith.science/paper/YHK6DGJI"},"agent_actions":{"view_html":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4","download_json":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4.json","view_paper":"https://pith.science/paper/YHK6DGJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.13348&json=true","fetch_graph":"https://pith.science/api/pith-number/YHK6DGJI3XFICVPZKK7ADCEXO4/graph.json","fetch_events":"https://pith.science/api/pith-number/YHK6DGJI3XFICVPZKK7ADCEXO4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4/action/storage_attestation","attest_author":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4/action/author_attestation","sign_citation":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4/action/citation_signature","submit_replication":"https://pith.science/pith/YHK6DGJI3XFICVPZKK7ADCEXO4/action/replication_record"}},"created_at":"2026-07-05T07:40:47.307710+00:00","updated_at":"2026-07-05T07:40:47.307710+00:00"}