{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:L6Q3PCUCZQUWGFCON36UBPN34A","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"49df6d916a823a93917b4b3eda81b41c4cc0a1bb8b2a6bdc3420a55395990e21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-03-19T22:10:29Z","title_canon_sha256":"d00945d794a4bbfa4048203bbc0a3136f4b05cb19381301b7ea2c6e6fffdf6a0"},"schema_version":"1.0","source":{"id":"1303.4777","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4777","created_at":"2026-05-18T01:29:32Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4777v1","created_at":"2026-05-18T01:29:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4777","created_at":"2026-05-18T01:29:32Z"},{"alias_kind":"pith_short_12","alias_value":"L6Q3PCUCZQUW","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L6Q3PCUCZQUWGFCO","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L6Q3PCUC","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:d6d53d2792bac76eedc9691f2b14b133480b914492f14bf00e95eb888c4482e2","target":"graph","created_at":"2026-05-18T01:29:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We compute the trace of an endomorphism in equivariant bivariant K-theory for a compact group G in several ways: geometrically using geometric correspondences, algebraically using localisation, and as a Hattori-Stallings trace. This results in an equivariant version of the classical Lefschetz fixed-point theorem, which applies to arbitrary equivariant correspondences, not just maps.","authors_text":"Heath Emerson, Ivo Dell'Ambrogio, Ralf Meyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-03-19T22:10:29Z","title":"An equivariant Lefschetz fixed-point formula for correspondences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4777","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ce616b3b7a4cba2aa46a3f6cff247f9a4ebd28f566734699af08f598dca897d7","target":"record","created_at":"2026-05-18T01:29:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"49df6d916a823a93917b4b3eda81b41c4cc0a1bb8b2a6bdc3420a55395990e21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-03-19T22:10:29Z","title_canon_sha256":"d00945d794a4bbfa4048203bbc0a3136f4b05cb19381301b7ea2c6e6fffdf6a0"},"schema_version":"1.0","source":{"id":"1303.4777","kind":"arxiv","version":1}},"canonical_sha256":"5fa1b78a82cc2963144e6efd40bdbbe010abc8b67292671738ba296a6bb4c8af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fa1b78a82cc2963144e6efd40bdbbe010abc8b67292671738ba296a6bb4c8af","first_computed_at":"2026-05-18T01:29:32.181682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:32.181682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6SlD/F9KgXj3TS9BSSxcUu/chLOyfdjrKQkHD22gRY3HIUEiENeh+WOvIJaZ+D9RiyI1WyXdY5XWHZX3Zfo2Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:32.182527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4777","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce616b3b7a4cba2aa46a3f6cff247f9a4ebd28f566734699af08f598dca897d7","sha256:d6d53d2792bac76eedc9691f2b14b133480b914492f14bf00e95eb888c4482e2"],"state_sha256":"97788e36bb8ed883d9da30e41b0181f95a2fc233ba8fede0fb459b7475b8ecea"}