{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:A5RKMJHFVAIRSGTMSYDEA6CDEG","short_pith_number":"pith:A5RKMJHF","schema_version":"1.0","canonical_sha256":"0762a624e5a811191a6c960640784321a64b53c198e4be0858b2618391959ada","source":{"kind":"arxiv","id":"2505.11327","version":1},"attestation_state":"computed","paper":{"title":"Trace methods for equivariant algebraic K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AT","authors_text":"David Chan, Inbar Klang, Teena Gerhardt","submitted_at":"2025-05-16T14:50:04Z","abstract_excerpt":"In the past decades, one of the most fruitful approaches to the study of algebraic $K$-theory has been trace methods, which construct and study trace maps from algebraic $K$-theory to topological Hochschild homology and related invariants. In recent years, theories of equivariant algebraic $K$-theory have emerged, but thus far few tools are available for the study and computation of these theories. In this paper, we lay the foundations for a trace methods approach to equivariant algebraic $K$-theory. For $G$ a finite group, we construct a Dennis trace map from equivariant algebraic $K$-theory "},"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":"2505.11327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-05-16T14:50:04Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"8b28098960889e5b25cda94cbe4d723cdfb37146cb5090a9b0d147dd857bbe0c","abstract_canon_sha256":"9d11a512ef5b9ea3e92fe15d5d6fa301f72226d2b2cbc7c3ad04f795d272c70f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:04:14.412301Z","signature_b64":"FfCodabuQIq3WFKmwOakL/hIdrMammBdlyjJl+6zoE5PgBxxjX0bnroO0uAVSEIKUNY9arVbJMeC/6W1knclCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0762a624e5a811191a6c960640784321a64b53c198e4be0858b2618391959ada","last_reissued_at":"2026-07-05T11:04:14.411847Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:04:14.411847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Trace methods for equivariant algebraic K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AT","authors_text":"David Chan, Inbar Klang, Teena Gerhardt","submitted_at":"2025-05-16T14:50:04Z","abstract_excerpt":"In the past decades, one of the most fruitful approaches to the study of algebraic $K$-theory has been trace methods, which construct and study trace maps from algebraic $K$-theory to topological Hochschild homology and related invariants. In recent years, theories of equivariant algebraic $K$-theory have emerged, but thus far few tools are available for the study and computation of these theories. In this paper, we lay the foundations for a trace methods approach to equivariant algebraic $K$-theory. For $G$ a finite group, we construct a Dennis trace map from equivariant algebraic $K$-theory "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.11327","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.11327/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":"2505.11327","created_at":"2026-07-05T11:04:14.411908+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.11327v1","created_at":"2026-07-05T11:04:14.411908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11327","created_at":"2026-07-05T11:04:14.411908+00:00"},{"alias_kind":"pith_short_12","alias_value":"A5RKMJHFVAIR","created_at":"2026-07-05T11:04:14.411908+00:00"},{"alias_kind":"pith_short_16","alias_value":"A5RKMJHFVAIRSGTM","created_at":"2026-07-05T11:04:14.411908+00:00"},{"alias_kind":"pith_short_8","alias_value":"A5RKMJHF","created_at":"2026-07-05T11:04:14.411908+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.11376","citing_title":"Computations in Equivariant Topological Hochschild Homology","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG","json":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG.json","graph_json":"https://pith.science/api/pith-number/A5RKMJHFVAIRSGTMSYDEA6CDEG/graph.json","events_json":"https://pith.science/api/pith-number/A5RKMJHFVAIRSGTMSYDEA6CDEG/events.json","paper":"https://pith.science/paper/A5RKMJHF"},"agent_actions":{"view_html":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG","download_json":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG.json","view_paper":"https://pith.science/paper/A5RKMJHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.11327&json=true","fetch_graph":"https://pith.science/api/pith-number/A5RKMJHFVAIRSGTMSYDEA6CDEG/graph.json","fetch_events":"https://pith.science/api/pith-number/A5RKMJHFVAIRSGTMSYDEA6CDEG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG/action/storage_attestation","attest_author":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG/action/author_attestation","sign_citation":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG/action/citation_signature","submit_replication":"https://pith.science/pith/A5RKMJHFVAIRSGTMSYDEA6CDEG/action/replication_record"}},"created_at":"2026-07-05T11:04:14.411908+00:00","updated_at":"2026-07-05T11:04:14.411908+00:00"}