{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6SZTILV3FJ2SB3PYJMEOB6BIWG","short_pith_number":"pith:6SZTILV3","schema_version":"1.0","canonical_sha256":"f4b3342ebb2a7520edf84b08e0f828b1942454a90e679752281e5c2e37b0fb44","source":{"kind":"arxiv","id":"1312.1499","version":2},"attestation_state":"computed","paper":{"title":"On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Hans Franzen","submitted_at":"2013-12-05T10:51:38Z","abstract_excerpt":"We prove that Chow groups of certain non-commutative Hilbert schemes have a basis consisting of monomials in Chern classes of the universal bundle. Furthermore, we realize the cohomology of non-commutative Hilbert schemes as a module over the Cohomological Hall algebra."},"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":"1312.1499","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-12-05T10:51:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4eda4f7497eb24c0a42f982b7df4f11bf5382d3a57c89c74f8578dd0eebb8c78","abstract_canon_sha256":"ccf79255b6d70f5447299b4553ac3d0630a9a74f4fe77b32f6c7de28af638f52"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:38.929599Z","signature_b64":"+qLaYeiaI4PMFacuZYdJPTnJ1H7amokWT3rfdN6zLyApELzAoe/wFfFMxYWG9Rrd3y4nQqQKV80FzgCVoLEYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4b3342ebb2a7520edf84b08e0f828b1942454a90e679752281e5c2e37b0fb44","last_reissued_at":"2026-05-18T01:10:38.929198Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:38.929198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Hans Franzen","submitted_at":"2013-12-05T10:51:38Z","abstract_excerpt":"We prove that Chow groups of certain non-commutative Hilbert schemes have a basis consisting of monomials in Chern classes of the universal bundle. Furthermore, we realize the cohomology of non-commutative Hilbert schemes as a module over the Cohomological Hall algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1499","kind":"arxiv","version":2},"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":"1312.1499","created_at":"2026-05-18T01:10:38.929258+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.1499v2","created_at":"2026-05-18T01:10:38.929258+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1499","created_at":"2026-05-18T01:10:38.929258+00:00"},{"alias_kind":"pith_short_12","alias_value":"6SZTILV3FJ2S","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6SZTILV3FJ2SB3PY","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6SZTILV3","created_at":"2026-05-18T12:27:36.564083+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/6SZTILV3FJ2SB3PYJMEOB6BIWG","json":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG.json","graph_json":"https://pith.science/api/pith-number/6SZTILV3FJ2SB3PYJMEOB6BIWG/graph.json","events_json":"https://pith.science/api/pith-number/6SZTILV3FJ2SB3PYJMEOB6BIWG/events.json","paper":"https://pith.science/paper/6SZTILV3"},"agent_actions":{"view_html":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG","download_json":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG.json","view_paper":"https://pith.science/paper/6SZTILV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.1499&json=true","fetch_graph":"https://pith.science/api/pith-number/6SZTILV3FJ2SB3PYJMEOB6BIWG/graph.json","fetch_events":"https://pith.science/api/pith-number/6SZTILV3FJ2SB3PYJMEOB6BIWG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG/action/storage_attestation","attest_author":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG/action/author_attestation","sign_citation":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG/action/citation_signature","submit_replication":"https://pith.science/pith/6SZTILV3FJ2SB3PYJMEOB6BIWG/action/replication_record"}},"created_at":"2026-05-18T01:10:38.929258+00:00","updated_at":"2026-05-18T01:10:38.929258+00:00"}