{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QKEEQJKCATGAMJUPMZLGGYJLB7","short_pith_number":"pith:QKEEQJKC","schema_version":"1.0","canonical_sha256":"828848254204cc06268f665663612b0feed220fd8cb014ad183b0baf0201f6f2","source":{"kind":"arxiv","id":"1710.00934","version":1},"attestation_state":"computed","paper":{"title":"Stratified surgery and K-theory invariants of the signature operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.GT"],"primary_cat":"math.KT","authors_text":"Paolo Piazza, Pierre Albin","submitted_at":"2017-10-02T22:49:47Z","abstract_excerpt":"In work of Higson-Roe the fundamental role of the signature as a homotopy and bordism invariant for oriented manifolds is made manifest in how it and related secondary invariants define a natural transformation between the (Browder-Novikov-Sullivan-Wall) surgery exact sequence and a long exact sequence of C*-algebra K-theory groups.\n  In recent years the (higher) signature invariants have been extended from closed oriented manifolds to a class of stratified spaces known as L-spaces or Cheeger spaces. In this paper we show that secondary invariants, such as the rho-class, also extend from close"},"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":"1710.00934","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-10-02T22:49:47Z","cross_cats_sorted":["math.DG","math.GT"],"title_canon_sha256":"22055acb858230742c59688f6a3baead49cfd0852a114a6d4586d3e894ddcb8f","abstract_canon_sha256":"8c4ee7d1be56916420de8ff43fd55495bcaa8fa3f970a19f14358c0f7407a6c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:47.462038Z","signature_b64":"lWIXqFKnErekPk1kjLOx+yNydCHWFV6w/qImmARKeXpwgwBqwFy+epdum3b4gzFgCtjtbXUjt+pdC2jSUPGbBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"828848254204cc06268f665663612b0feed220fd8cb014ad183b0baf0201f6f2","last_reissued_at":"2026-05-18T00:33:47.461522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:47.461522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stratified surgery and K-theory invariants of the signature operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.GT"],"primary_cat":"math.KT","authors_text":"Paolo Piazza, Pierre Albin","submitted_at":"2017-10-02T22:49:47Z","abstract_excerpt":"In work of Higson-Roe the fundamental role of the signature as a homotopy and bordism invariant for oriented manifolds is made manifest in how it and related secondary invariants define a natural transformation between the (Browder-Novikov-Sullivan-Wall) surgery exact sequence and a long exact sequence of C*-algebra K-theory groups.\n  In recent years the (higher) signature invariants have been extended from closed oriented manifolds to a class of stratified spaces known as L-spaces or Cheeger spaces. In this paper we show that secondary invariants, such as the rho-class, also extend from close"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00934","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":"1710.00934","created_at":"2026-05-18T00:33:47.461601+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.00934v1","created_at":"2026-05-18T00:33:47.461601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00934","created_at":"2026-05-18T00:33:47.461601+00:00"},{"alias_kind":"pith_short_12","alias_value":"QKEEQJKCATGA","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QKEEQJKCATGAMJUP","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QKEEQJKC","created_at":"2026-05-18T12:31:39.905425+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/QKEEQJKCATGAMJUPMZLGGYJLB7","json":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7.json","graph_json":"https://pith.science/api/pith-number/QKEEQJKCATGAMJUPMZLGGYJLB7/graph.json","events_json":"https://pith.science/api/pith-number/QKEEQJKCATGAMJUPMZLGGYJLB7/events.json","paper":"https://pith.science/paper/QKEEQJKC"},"agent_actions":{"view_html":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7","download_json":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7.json","view_paper":"https://pith.science/paper/QKEEQJKC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.00934&json=true","fetch_graph":"https://pith.science/api/pith-number/QKEEQJKCATGAMJUPMZLGGYJLB7/graph.json","fetch_events":"https://pith.science/api/pith-number/QKEEQJKCATGAMJUPMZLGGYJLB7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7/action/storage_attestation","attest_author":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7/action/author_attestation","sign_citation":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7/action/citation_signature","submit_replication":"https://pith.science/pith/QKEEQJKCATGAMJUPMZLGGYJLB7/action/replication_record"}},"created_at":"2026-05-18T00:33:47.461601+00:00","updated_at":"2026-05-18T00:33:47.461601+00:00"}