{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:F2ZS3CPVDDJEFZIVTPSGYIO4BI","short_pith_number":"pith:F2ZS3CPV","schema_version":"1.0","canonical_sha256":"2eb32d89f518d242e5159be46c21dc0a0050f79c72311787a724086a1eb5bee3","source":{"kind":"arxiv","id":"1612.07107","version":1},"attestation_state":"computed","paper":{"title":"Inertial Chow rings of toric stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dan Edidin, Thomas Coleman","submitted_at":"2016-12-21T13:46:47Z","abstract_excerpt":"For any vector bundle $V$ on a toric Deligne-Mumford stack $\\ix$ the formalism of \\cite{EJK:16} defines two intertial products $\\star_{V^{+}}$ and $\\star_{V^{-}}$ on the Chow group of the inertia stack. We give an explicit presentation for the integral $\\star_{V^+}$ and $\\star_{V^-}$ Chow rings, extending earlier work of Boris-Chen-Smith \\cite{BCS:05} and Jiang-Tsen \\cite{JiTs:10} in the orbifold Chow ring case, which corresponds to $V = 0$.\n  We also describe an {\\em asymptotic} product on the rational Chow group of the inertia stack obtained by letting the rank of the bundle $V$ go to infini"},"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":"1612.07107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-21T13:46:47Z","cross_cats_sorted":[],"title_canon_sha256":"6a4c9c796e4953a6f48851fb1dc8dee3b1a87cc1058fa478175b976827f4277d","abstract_canon_sha256":"204e941ab24c2824bd96b7c2632d73a6d3869aa3b29cc9596a80003c8095bfa8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:14.655576Z","signature_b64":"fEWqL68DgeUkCHvQblpRfFZY7pFixB/Mv73TTxSR9EG1fDoapuxyWEvYOoJQZLVJQ6fVJY+6USu3e3RpCChkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2eb32d89f518d242e5159be46c21dc0a0050f79c72311787a724086a1eb5bee3","last_reissued_at":"2026-05-18T00:54:14.655103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:14.655103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inertial Chow rings of toric stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dan Edidin, Thomas Coleman","submitted_at":"2016-12-21T13:46:47Z","abstract_excerpt":"For any vector bundle $V$ on a toric Deligne-Mumford stack $\\ix$ the formalism of \\cite{EJK:16} defines two intertial products $\\star_{V^{+}}$ and $\\star_{V^{-}}$ on the Chow group of the inertia stack. We give an explicit presentation for the integral $\\star_{V^+}$ and $\\star_{V^-}$ Chow rings, extending earlier work of Boris-Chen-Smith \\cite{BCS:05} and Jiang-Tsen \\cite{JiTs:10} in the orbifold Chow ring case, which corresponds to $V = 0$.\n  We also describe an {\\em asymptotic} product on the rational Chow group of the inertia stack obtained by letting the rank of the bundle $V$ go to infini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07107","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":"1612.07107","created_at":"2026-05-18T00:54:14.655178+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.07107v1","created_at":"2026-05-18T00:54:14.655178+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07107","created_at":"2026-05-18T00:54:14.655178+00:00"},{"alias_kind":"pith_short_12","alias_value":"F2ZS3CPVDDJE","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"F2ZS3CPVDDJEFZIV","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"F2ZS3CPV","created_at":"2026-05-18T12:30:15.759754+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/F2ZS3CPVDDJEFZIVTPSGYIO4BI","json":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI.json","graph_json":"https://pith.science/api/pith-number/F2ZS3CPVDDJEFZIVTPSGYIO4BI/graph.json","events_json":"https://pith.science/api/pith-number/F2ZS3CPVDDJEFZIVTPSGYIO4BI/events.json","paper":"https://pith.science/paper/F2ZS3CPV"},"agent_actions":{"view_html":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI","download_json":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI.json","view_paper":"https://pith.science/paper/F2ZS3CPV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.07107&json=true","fetch_graph":"https://pith.science/api/pith-number/F2ZS3CPVDDJEFZIVTPSGYIO4BI/graph.json","fetch_events":"https://pith.science/api/pith-number/F2ZS3CPVDDJEFZIVTPSGYIO4BI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI/action/storage_attestation","attest_author":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI/action/author_attestation","sign_citation":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI/action/citation_signature","submit_replication":"https://pith.science/pith/F2ZS3CPVDDJEFZIVTPSGYIO4BI/action/replication_record"}},"created_at":"2026-05-18T00:54:14.655178+00:00","updated_at":"2026-05-18T00:54:14.655178+00:00"}