{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KJ6JYNOV7ORBALR5D3R45PPLUI","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":"62f3d454f746cf496974f3ed1b42c81c9601289bcec21c66a135e6656cd98d33","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-14T13:10:00Z","title_canon_sha256":"5df462f0eed8d08bae78b017efb0f951c2d1268288e4b8e3085ca02ba005115d"},"schema_version":"1.0","source":{"id":"1110.3196","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3196","created_at":"2026-05-18T02:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3196v2","created_at":"2026-05-18T02:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3196","created_at":"2026-05-18T02:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"KJ6JYNOV7ORB","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KJ6JYNOV7ORBALR5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KJ6JYNOV","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:edd38b0d77ab7588a9029a57091daeb585e5ac0b3e9a0b838cce64192b08d1e5","target":"graph","created_at":"2026-05-18T02:41:43Z","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":"B\\\"okstedt and Madsen defined an infinite loop map from the embedded $d$-dimensional cobordism category of Galatius, Madsen, Tillmann and Weiss to the algebraic $K$-theory of $BO(d)$ in the sense of Waldhausen. The purpose of this paper is to establish two results in relation to this map. The first result is that it extends the universal parametrized $A$-theory Euler characteristic of smooth bundles with compact $d$-dimensional fibers, as defined by Dwyer, Weiss and Williams. The second result is that it actually factors through the canonical unit map $Q(BO(d)_+) \\to A(BO(d))$.","authors_text":"George Raptis, Wolfgang Steimle","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-14T13:10:00Z","title":"On the map of B\\\"okstedt-Madsen from the cobordism category to $A$-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3196","kind":"arxiv","version":2},"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":"sha256:9737882f6468aeca5c5d6c4ca15b15d8e3cb1cc1c2782d9cefb4bd344851adef","target":"record","created_at":"2026-05-18T02:41:43Z","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":"62f3d454f746cf496974f3ed1b42c81c9601289bcec21c66a135e6656cd98d33","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-10-14T13:10:00Z","title_canon_sha256":"5df462f0eed8d08bae78b017efb0f951c2d1268288e4b8e3085ca02ba005115d"},"schema_version":"1.0","source":{"id":"1110.3196","kind":"arxiv","version":2}},"canonical_sha256":"527c9c35d5fba2102e3d1ee3cebdeba2371b7e77962f4208cf3a78c156f90706","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"527c9c35d5fba2102e3d1ee3cebdeba2371b7e77962f4208cf3a78c156f90706","first_computed_at":"2026-05-18T02:41:43.600934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:43.600934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MrL/2swwqvn/8Uv+z5oUAF1wOlCMB35ARkqGYZ9MxW0DB9ereVOj91Q0O8Om31G7SBp1hMJXB35ks9i0PKGLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:43.601613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3196","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9737882f6468aeca5c5d6c4ca15b15d8e3cb1cc1c2782d9cefb4bd344851adef","sha256:edd38b0d77ab7588a9029a57091daeb585e5ac0b3e9a0b838cce64192b08d1e5"],"state_sha256":"29693436e433fe2daf5482fd60e9a0a4123e6a69cf478d7a802ad1ece6119095"}