{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:GG2HC2XVGJPTRBBPIDVM3STYCV","short_pith_number":"pith:GG2HC2XV","schema_version":"1.0","canonical_sha256":"31b4716af5325f38842f40eacdca78157ac3dd667da6fa8a4515c73838712d45","source":{"kind":"arxiv","id":"0710.4002","version":1},"attestation_state":"computed","paper":{"title":"Chow--Kuenneth decomposition for special varieties","license":"","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Jaya NN Iyer, Stefan M\\\"uller-Stach","submitted_at":"2007-10-22T09:24:56Z","abstract_excerpt":"In this paper we investigate Murre's conjecture on the Chow--K\\\"unneth decomposition for two classes of examples. We look at the universal families of smooth curves over spaces which dominate the moduli space $\\cM_g$, in genus at most 8 and show existence of a Chow--K\\\"unneth decomposition. The second class of examples include the representation varieties of a finitely generated group with one relation. This is done in the setting of equivariant cohomology and equivariant Chow groups to get equivariant Chow--K\\\"unneth decompositions."},"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":"0710.4002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-10-22T09:24:56Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"60a9997b8eb92ec5d0de255a9838a8d744c91c7b5c75c31e7ccb7426b3a314c0","abstract_canon_sha256":"3f53fa9d039ffaee0c6abff415d5f706ddfb879428e70527eb67a0f7da53fc9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:32.521164Z","signature_b64":"sppk4rVE5KcDFPBasbgXGwL3cRVCNQlpsg3fg5iHyEVcgu9mDnIQ/DjC+yaGoEi5U2h0wVhUadwNxKTLxcSDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31b4716af5325f38842f40eacdca78157ac3dd667da6fa8a4515c73838712d45","last_reissued_at":"2026-05-18T02:39:32.520688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:32.520688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chow--Kuenneth decomposition for special varieties","license":"","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Jaya NN Iyer, Stefan M\\\"uller-Stach","submitted_at":"2007-10-22T09:24:56Z","abstract_excerpt":"In this paper we investigate Murre's conjecture on the Chow--K\\\"unneth decomposition for two classes of examples. We look at the universal families of smooth curves over spaces which dominate the moduli space $\\cM_g$, in genus at most 8 and show existence of a Chow--K\\\"unneth decomposition. The second class of examples include the representation varieties of a finitely generated group with one relation. This is done in the setting of equivariant cohomology and equivariant Chow groups to get equivariant Chow--K\\\"unneth decompositions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4002","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":"0710.4002","created_at":"2026-05-18T02:39:32.520762+00:00"},{"alias_kind":"arxiv_version","alias_value":"0710.4002v1","created_at":"2026-05-18T02:39:32.520762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4002","created_at":"2026-05-18T02:39:32.520762+00:00"},{"alias_kind":"pith_short_12","alias_value":"GG2HC2XVGJPT","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"GG2HC2XVGJPTRBBP","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"GG2HC2XV","created_at":"2026-05-18T12:25:55.427421+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/GG2HC2XVGJPTRBBPIDVM3STYCV","json":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV.json","graph_json":"https://pith.science/api/pith-number/GG2HC2XVGJPTRBBPIDVM3STYCV/graph.json","events_json":"https://pith.science/api/pith-number/GG2HC2XVGJPTRBBPIDVM3STYCV/events.json","paper":"https://pith.science/paper/GG2HC2XV"},"agent_actions":{"view_html":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV","download_json":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV.json","view_paper":"https://pith.science/paper/GG2HC2XV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0710.4002&json=true","fetch_graph":"https://pith.science/api/pith-number/GG2HC2XVGJPTRBBPIDVM3STYCV/graph.json","fetch_events":"https://pith.science/api/pith-number/GG2HC2XVGJPTRBBPIDVM3STYCV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV/action/storage_attestation","attest_author":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV/action/author_attestation","sign_citation":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV/action/citation_signature","submit_replication":"https://pith.science/pith/GG2HC2XVGJPTRBBPIDVM3STYCV/action/replication_record"}},"created_at":"2026-05-18T02:39:32.520762+00:00","updated_at":"2026-05-18T02:39:32.520762+00:00"}