{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BCLGJYDTPP76D4XNLWZGQCRFPC","short_pith_number":"pith:BCLGJYDT","schema_version":"1.0","canonical_sha256":"089664e0737bffe1f2ed5db2680a2578a72c4b8a1948d8a77976b6b09d4014dc","source":{"kind":"arxiv","id":"1711.10215","version":1},"attestation_state":"computed","paper":{"title":"Stratifying quotient stacks and moduli stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Frances Kirwan, Gergely B\\'erczi, Victoria Hoskins","submitted_at":"2017-11-28T10:19:30Z","abstract_excerpt":"Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X/H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S/H] has a geometric quotient S/H. This leads to stratifications of moduli stacks (for example, sheaves over a projective scheme) such that each stratum has a coarse moduli space."},"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":"1711.10215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-28T10:19:30Z","cross_cats_sorted":[],"title_canon_sha256":"2945e4d89ac21a2ac7372f7cd7e7bbc15f16ff23c27f0d52c3d092d57684922f","abstract_canon_sha256":"cf7f4e56da2d99c2e03d9887a2cd7e1a0eee98c3f59437002f1de22a1426fda8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:22.912865Z","signature_b64":"iZyvDIbdmOe9P7ajN2PahpWwDKejlV1GvFWTz5bmArJNvLjM5rWD4Wl1M+V93BjiM8tWqIT1eNMcR7De6+tSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"089664e0737bffe1f2ed5db2680a2578a72c4b8a1948d8a77976b6b09d4014dc","last_reissued_at":"2026-05-18T00:29:22.912017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:22.912017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stratifying quotient stacks and moduli stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Frances Kirwan, Gergely B\\'erczi, Victoria Hoskins","submitted_at":"2017-11-28T10:19:30Z","abstract_excerpt":"Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X/H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S/H] has a geometric quotient S/H. This leads to stratifications of moduli stacks (for example, sheaves over a projective scheme) such that each stratum has a coarse moduli space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10215","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":"1711.10215","created_at":"2026-05-18T00:29:22.912163+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.10215v1","created_at":"2026-05-18T00:29:22.912163+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10215","created_at":"2026-05-18T00:29:22.912163+00:00"},{"alias_kind":"pith_short_12","alias_value":"BCLGJYDTPP76","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BCLGJYDTPP76D4XN","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BCLGJYDT","created_at":"2026-05-18T12:31:08.081275+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/BCLGJYDTPP76D4XNLWZGQCRFPC","json":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC.json","graph_json":"https://pith.science/api/pith-number/BCLGJYDTPP76D4XNLWZGQCRFPC/graph.json","events_json":"https://pith.science/api/pith-number/BCLGJYDTPP76D4XNLWZGQCRFPC/events.json","paper":"https://pith.science/paper/BCLGJYDT"},"agent_actions":{"view_html":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC","download_json":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC.json","view_paper":"https://pith.science/paper/BCLGJYDT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.10215&json=true","fetch_graph":"https://pith.science/api/pith-number/BCLGJYDTPP76D4XNLWZGQCRFPC/graph.json","fetch_events":"https://pith.science/api/pith-number/BCLGJYDTPP76D4XNLWZGQCRFPC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC/action/storage_attestation","attest_author":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC/action/author_attestation","sign_citation":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC/action/citation_signature","submit_replication":"https://pith.science/pith/BCLGJYDTPP76D4XNLWZGQCRFPC/action/replication_record"}},"created_at":"2026-05-18T00:29:22.912163+00:00","updated_at":"2026-05-18T00:29:22.912163+00:00"}