{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DN5RZQPMBYRVKQG5N5HYLUVSDV","short_pith_number":"pith:DN5RZQPM","schema_version":"1.0","canonical_sha256":"1b7b1cc1ec0e235540dd6f4f85d2b21d7f58aad5082b1ee7f05a7ccc62c51b5c","source":{"kind":"arxiv","id":"1705.04180","version":3},"attestation_state":"computed","paper":{"title":"Models in Rational homotopy theory and Torus Rank Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Qianwen Sun, Xiugui Liu, Yanlong Hao","submitted_at":"2017-05-11T13:43:15Z","abstract_excerpt":"In this paper, we focus on some models in rational homotopy theory, Sullivan model, Quillen model, C_\\infty model, and L_\\infty model. We give some connections between them. As an application, we prove the Torus Rank Conjecture."},"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":"1705.04180","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-05-11T13:43:15Z","cross_cats_sorted":[],"title_canon_sha256":"1153d4f7872084f7e0adc4e252d2af5c7a995f46c4a64636e6170d348b94d9a3","abstract_canon_sha256":"0ce9762fee906f0b85aa916da0b4698cee9294e90966dded5b0c1a1cc3df7a58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:49.825052Z","signature_b64":"0EeEXoCDJnucP3NKk0PBL+1ABg1OzMyyYTHRUgpuJK9kpa0i9t2gD+Ki0ZJrCYVKuh/yXAN+ohbl7cwp+biDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b7b1cc1ec0e235540dd6f4f85d2b21d7f58aad5082b1ee7f05a7ccc62c51b5c","last_reissued_at":"2026-05-18T00:43:49.824595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:49.824595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Models in Rational homotopy theory and Torus Rank Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Qianwen Sun, Xiugui Liu, Yanlong Hao","submitted_at":"2017-05-11T13:43:15Z","abstract_excerpt":"In this paper, we focus on some models in rational homotopy theory, Sullivan model, Quillen model, C_\\infty model, and L_\\infty model. We give some connections between them. As an application, we prove the Torus Rank Conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04180","kind":"arxiv","version":3},"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":"1705.04180","created_at":"2026-05-18T00:43:49.824665+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.04180v3","created_at":"2026-05-18T00:43:49.824665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04180","created_at":"2026-05-18T00:43:49.824665+00:00"},{"alias_kind":"pith_short_12","alias_value":"DN5RZQPMBYRV","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"DN5RZQPMBYRVKQG5","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"DN5RZQPM","created_at":"2026-05-18T12:31:12.930513+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/DN5RZQPMBYRVKQG5N5HYLUVSDV","json":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV.json","graph_json":"https://pith.science/api/pith-number/DN5RZQPMBYRVKQG5N5HYLUVSDV/graph.json","events_json":"https://pith.science/api/pith-number/DN5RZQPMBYRVKQG5N5HYLUVSDV/events.json","paper":"https://pith.science/paper/DN5RZQPM"},"agent_actions":{"view_html":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV","download_json":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV.json","view_paper":"https://pith.science/paper/DN5RZQPM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.04180&json=true","fetch_graph":"https://pith.science/api/pith-number/DN5RZQPMBYRVKQG5N5HYLUVSDV/graph.json","fetch_events":"https://pith.science/api/pith-number/DN5RZQPMBYRVKQG5N5HYLUVSDV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV/action/storage_attestation","attest_author":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV/action/author_attestation","sign_citation":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV/action/citation_signature","submit_replication":"https://pith.science/pith/DN5RZQPMBYRVKQG5N5HYLUVSDV/action/replication_record"}},"created_at":"2026-05-18T00:43:49.824665+00:00","updated_at":"2026-05-18T00:43:49.824665+00:00"}