{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5X3VSWUAMKNBHKD6LC6Z7MKJZO","short_pith_number":"pith:5X3VSWUA","schema_version":"1.0","canonical_sha256":"edf7595a80629a13a87e58bd9fb149cb8533c1012ae9cf6736a587050d51494c","source":{"kind":"arxiv","id":"1408.7003","version":2},"attestation_state":"computed","paper":{"title":"t-structures are normal torsion theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Domenico Fiorenza, Fosco Loregian","submitted_at":"2014-08-29T12:56:11Z","abstract_excerpt":"We characterize $t$-structures in stable $\\infty$-categories as suitable quasicategorical factorization systems. More precisely we show that a $t$-structure $\\mathfrak{t}$ on a stable $\\infty$-category $\\mathbf{C}$ is equivalent to a normal torsion theory $\\mathbb{F}$ on $\\mathbf{C}$, i.e. to a factorization system $\\mathbb{F}=(\\mathcal{E},\\mathcal{M})$ where both classes satisfy the 3-for-2 cancellation property, and a certain compatibility with pullbacks/pushouts."},"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":"1408.7003","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-08-29T12:56:11Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"b638a452114bc06a01c3356b08f0cfb8269c5c365061e4733605dd2739b63c79","abstract_canon_sha256":"0d53acdda1917fc96695b9b5e1948ad7c9db05c7fb2a2fa7a46ab729dd2d88b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:02.101824Z","signature_b64":"L02ee9k8CO5zelek2OcbNa5UfIuM16YVY5jJfcNW9oblbZQUmAvHJQx9GuuCxozEyCDwVy3aTfV3Kq3dVe5nCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edf7595a80629a13a87e58bd9fb149cb8533c1012ae9cf6736a587050d51494c","last_reissued_at":"2026-05-18T00:29:02.101271Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:02.101271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"t-structures are normal torsion theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Domenico Fiorenza, Fosco Loregian","submitted_at":"2014-08-29T12:56:11Z","abstract_excerpt":"We characterize $t$-structures in stable $\\infty$-categories as suitable quasicategorical factorization systems. More precisely we show that a $t$-structure $\\mathfrak{t}$ on a stable $\\infty$-category $\\mathbf{C}$ is equivalent to a normal torsion theory $\\mathbb{F}$ on $\\mathbf{C}$, i.e. to a factorization system $\\mathbb{F}=(\\mathcal{E},\\mathcal{M})$ where both classes satisfy the 3-for-2 cancellation property, and a certain compatibility with pullbacks/pushouts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.7003","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":"1408.7003","created_at":"2026-05-18T00:29:02.101371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.7003v2","created_at":"2026-05-18T00:29:02.101371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.7003","created_at":"2026-05-18T00:29:02.101371+00:00"},{"alias_kind":"pith_short_12","alias_value":"5X3VSWUAMKNB","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"5X3VSWUAMKNBHKD6","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"5X3VSWUA","created_at":"2026-05-18T12:28:16.859392+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/5X3VSWUAMKNBHKD6LC6Z7MKJZO","json":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO.json","graph_json":"https://pith.science/api/pith-number/5X3VSWUAMKNBHKD6LC6Z7MKJZO/graph.json","events_json":"https://pith.science/api/pith-number/5X3VSWUAMKNBHKD6LC6Z7MKJZO/events.json","paper":"https://pith.science/paper/5X3VSWUA"},"agent_actions":{"view_html":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO","download_json":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO.json","view_paper":"https://pith.science/paper/5X3VSWUA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.7003&json=true","fetch_graph":"https://pith.science/api/pith-number/5X3VSWUAMKNBHKD6LC6Z7MKJZO/graph.json","fetch_events":"https://pith.science/api/pith-number/5X3VSWUAMKNBHKD6LC6Z7MKJZO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO/action/storage_attestation","attest_author":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO/action/author_attestation","sign_citation":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO/action/citation_signature","submit_replication":"https://pith.science/pith/5X3VSWUAMKNBHKD6LC6Z7MKJZO/action/replication_record"}},"created_at":"2026-05-18T00:29:02.101371+00:00","updated_at":"2026-05-18T00:29:02.101371+00:00"}