{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:43CQ4WITWL3UTPACV4LLVOXLMX","short_pith_number":"pith:43CQ4WIT","schema_version":"1.0","canonical_sha256":"e6c50e5913b2f749bc02af16babaeb65e90811b4db920a093cc62abd0d4b705d","source":{"kind":"arxiv","id":"1808.05654","version":1},"attestation_state":"computed","paper":{"title":"Motivic characteristic classes in cohomological Hall algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Richard Rimanyi","submitted_at":"2018-08-16T19:27:52Z","abstract_excerpt":"The equivariant Chern-Schwartz-MacPherson (CSM) class and the equivariant Motivic Chern (MC) class are important characteristic classes of singular varieties in cohomology and K theory---and their theory overlaps with the theory of Okounkov's stable envelopes. We study CSM and MC classes for the orbits of Dynkin quiver representations. We show that the problem of computing the CSM and MC classes of all these orbits can be reduced to some basic classes $c^o_\\beta$, $C^o_\\beta$ parameterized by positive roots $\\beta$. We prove an identity in a deformed version of Kontsevich-Soibelman's Cohomolog"},"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":"1808.05654","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-16T19:27:52Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"35263a4298cf123a21fae2c52f4953d5bb2879b50949ca718869ab2ff2862896","abstract_canon_sha256":"7bd5b4ba51b02bc682f777d8fd48ddc943111e92026aaf0feb1e3846b2a6830e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:56.051729Z","signature_b64":"SK6NXpPf0B2gZhQA4njO93+Bc3D8m88esXI1DDVOqkrtOOJ1LNe6tWkeX1OsZE+dT/t6sARk9W4xNTACFVPeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6c50e5913b2f749bc02af16babaeb65e90811b4db920a093cc62abd0d4b705d","last_reissued_at":"2026-05-18T00:07:56.051168Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:56.051168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic characteristic classes in cohomological Hall algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Richard Rimanyi","submitted_at":"2018-08-16T19:27:52Z","abstract_excerpt":"The equivariant Chern-Schwartz-MacPherson (CSM) class and the equivariant Motivic Chern (MC) class are important characteristic classes of singular varieties in cohomology and K theory---and their theory overlaps with the theory of Okounkov's stable envelopes. We study CSM and MC classes for the orbits of Dynkin quiver representations. We show that the problem of computing the CSM and MC classes of all these orbits can be reduced to some basic classes $c^o_\\beta$, $C^o_\\beta$ parameterized by positive roots $\\beta$. We prove an identity in a deformed version of Kontsevich-Soibelman's Cohomolog"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05654","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":"1808.05654","created_at":"2026-05-18T00:07:56.051269+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.05654v1","created_at":"2026-05-18T00:07:56.051269+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05654","created_at":"2026-05-18T00:07:56.051269+00:00"},{"alias_kind":"pith_short_12","alias_value":"43CQ4WITWL3U","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"43CQ4WITWL3UTPAC","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"43CQ4WIT","created_at":"2026-05-18T12:32:05.422762+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/43CQ4WITWL3UTPACV4LLVOXLMX","json":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX.json","graph_json":"https://pith.science/api/pith-number/43CQ4WITWL3UTPACV4LLVOXLMX/graph.json","events_json":"https://pith.science/api/pith-number/43CQ4WITWL3UTPACV4LLVOXLMX/events.json","paper":"https://pith.science/paper/43CQ4WIT"},"agent_actions":{"view_html":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX","download_json":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX.json","view_paper":"https://pith.science/paper/43CQ4WIT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.05654&json=true","fetch_graph":"https://pith.science/api/pith-number/43CQ4WITWL3UTPACV4LLVOXLMX/graph.json","fetch_events":"https://pith.science/api/pith-number/43CQ4WITWL3UTPACV4LLVOXLMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX/action/storage_attestation","attest_author":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX/action/author_attestation","sign_citation":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX/action/citation_signature","submit_replication":"https://pith.science/pith/43CQ4WITWL3UTPACV4LLVOXLMX/action/replication_record"}},"created_at":"2026-05-18T00:07:56.051269+00:00","updated_at":"2026-05-18T00:07:56.051269+00:00"}