{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:ECJZCUOXVDWWJ3KDVZTL65SWM5","short_pith_number":"pith:ECJZCUOX","schema_version":"1.0","canonical_sha256":"20939151d7a8ed64ed43ae66bf765667453692c60b667f3c8895cd50d742ae6f","source":{"kind":"arxiv","id":"1907.03837","version":1},"attestation_state":"computed","paper":{"title":"$L'$-localization in an $\\infty$-topos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Marco Vergura","submitted_at":"2019-07-08T20:02:02Z","abstract_excerpt":"We prove that, given any reflective subfibration $L_\\bullet$ on an $\\infty$-topos $\\mathcal{E}$, there exists a reflective subfibration $L'_\\bullet$ on $\\mathcal{E}$ whose local maps are the $L$-separated maps, that is, the maps whose diagonals are $L$-local. This is the companion paper to \"Localization theory in an $\\infty$-topos\"."},"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":"1907.03837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-07-08T20:02:02Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"50d2aab2afd2209c8396d2e56bf4b4573b5104f7b7a719d61cb04898ee91e9c1","abstract_canon_sha256":"7803a0405159d076486a02014f07189d4f551f98beaf42d9bcb0da9c48a79c0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:06.664565Z","signature_b64":"D5TpYZwvKYJXURSYIJejx99fav97tpV3eqKbZkjbytXV6B9VLVoGhCUXWhI31P0X/+nqqpA+0Z14yQagJOzhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20939151d7a8ed64ed43ae66bf765667453692c60b667f3c8895cd50d742ae6f","last_reissued_at":"2026-05-17T23:41:06.663807Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:06.663807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$L'$-localization in an $\\infty$-topos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Marco Vergura","submitted_at":"2019-07-08T20:02:02Z","abstract_excerpt":"We prove that, given any reflective subfibration $L_\\bullet$ on an $\\infty$-topos $\\mathcal{E}$, there exists a reflective subfibration $L'_\\bullet$ on $\\mathcal{E}$ whose local maps are the $L$-separated maps, that is, the maps whose diagonals are $L$-local. This is the companion paper to \"Localization theory in an $\\infty$-topos\"."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03837","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":"1907.03837","created_at":"2026-05-17T23:41:06.663923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.03837v1","created_at":"2026-05-17T23:41:06.663923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03837","created_at":"2026-05-17T23:41:06.663923+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECJZCUOXVDWW","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECJZCUOXVDWWJ3KD","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECJZCUOX","created_at":"2026-05-18T12:33:15.570797+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/ECJZCUOXVDWWJ3KDVZTL65SWM5","json":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5.json","graph_json":"https://pith.science/api/pith-number/ECJZCUOXVDWWJ3KDVZTL65SWM5/graph.json","events_json":"https://pith.science/api/pith-number/ECJZCUOXVDWWJ3KDVZTL65SWM5/events.json","paper":"https://pith.science/paper/ECJZCUOX"},"agent_actions":{"view_html":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5","download_json":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5.json","view_paper":"https://pith.science/paper/ECJZCUOX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.03837&json=true","fetch_graph":"https://pith.science/api/pith-number/ECJZCUOXVDWWJ3KDVZTL65SWM5/graph.json","fetch_events":"https://pith.science/api/pith-number/ECJZCUOXVDWWJ3KDVZTL65SWM5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5/action/storage_attestation","attest_author":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5/action/author_attestation","sign_citation":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5/action/citation_signature","submit_replication":"https://pith.science/pith/ECJZCUOXVDWWJ3KDVZTL65SWM5/action/replication_record"}},"created_at":"2026-05-17T23:41:06.663923+00:00","updated_at":"2026-05-17T23:41:06.663923+00:00"}