{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:77YYWDCR4ZIMCSPY4J4OFVOSHI","short_pith_number":"pith:77YYWDCR","schema_version":"1.0","canonical_sha256":"fff18b0c51e650c149f8e278e2d5d23a1f7ab9e97ed8912b6a535142fb508694","source":{"kind":"arxiv","id":"1404.2708","version":1},"attestation_state":"computed","paper":{"title":"Connes' calculus for The Quantum double suspension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.QA","authors_text":"Partha Sarathi Chakraborty, Satyajit Guin","submitted_at":"2014-04-10T07:00:26Z","abstract_excerpt":"Given a spectral triple $(\\mathcal{A},\\mathcal{H},D)\\,$ Connes associated a canonical differential graded algebra $\\,\\Omega_D^\\bullet(\\mathcal{A})$. However, so far this has been computed for very few special cases. We identify suitable hypotheses on a spectral triple that helps one to compute the associated Connes' calculus for its quantum double suspension. This allows one to compute $\\,\\Omega_D^\\bullet$ for spectral triples obtained by iterated quatum double suspension of the spectral triple associated with a first order differential operator on a compact smooth manifold. This gives the fir"},"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":"1404.2708","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-04-10T07:00:26Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"598c2aa379c43bc9da76a0e433b0bf75b3df0c97c8b2003f659c85674c4f80ec","abstract_canon_sha256":"43c9f6f51f5d9e4a808c00ff1c65b4c05b89a928464c56cca1e4f98ed077c7a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:28.726967Z","signature_b64":"0+txpjMUcxx9+96sIusmXEqsbQ1pNeD3Hoo/ptf/h8aIyY9ZHKyWw2DZP0S0hkYPi4MC+4Dan9YBiWMHLFSKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fff18b0c51e650c149f8e278e2d5d23a1f7ab9e97ed8912b6a535142fb508694","last_reissued_at":"2026-05-18T02:54:28.726240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:28.726240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Connes' calculus for The Quantum double suspension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.QA","authors_text":"Partha Sarathi Chakraborty, Satyajit Guin","submitted_at":"2014-04-10T07:00:26Z","abstract_excerpt":"Given a spectral triple $(\\mathcal{A},\\mathcal{H},D)\\,$ Connes associated a canonical differential graded algebra $\\,\\Omega_D^\\bullet(\\mathcal{A})$. However, so far this has been computed for very few special cases. We identify suitable hypotheses on a spectral triple that helps one to compute the associated Connes' calculus for its quantum double suspension. This allows one to compute $\\,\\Omega_D^\\bullet$ for spectral triples obtained by iterated quatum double suspension of the spectral triple associated with a first order differential operator on a compact smooth manifold. This gives the fir"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2708","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":"1404.2708","created_at":"2026-05-18T02:54:28.726356+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.2708v1","created_at":"2026-05-18T02:54:28.726356+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2708","created_at":"2026-05-18T02:54:28.726356+00:00"},{"alias_kind":"pith_short_12","alias_value":"77YYWDCR4ZIM","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"77YYWDCR4ZIMCSPY","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"77YYWDCR","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/77YYWDCR4ZIMCSPY4J4OFVOSHI","json":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI.json","graph_json":"https://pith.science/api/pith-number/77YYWDCR4ZIMCSPY4J4OFVOSHI/graph.json","events_json":"https://pith.science/api/pith-number/77YYWDCR4ZIMCSPY4J4OFVOSHI/events.json","paper":"https://pith.science/paper/77YYWDCR"},"agent_actions":{"view_html":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI","download_json":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI.json","view_paper":"https://pith.science/paper/77YYWDCR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.2708&json=true","fetch_graph":"https://pith.science/api/pith-number/77YYWDCR4ZIMCSPY4J4OFVOSHI/graph.json","fetch_events":"https://pith.science/api/pith-number/77YYWDCR4ZIMCSPY4J4OFVOSHI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI/action/storage_attestation","attest_author":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI/action/author_attestation","sign_citation":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI/action/citation_signature","submit_replication":"https://pith.science/pith/77YYWDCR4ZIMCSPY4J4OFVOSHI/action/replication_record"}},"created_at":"2026-05-18T02:54:28.726356+00:00","updated_at":"2026-05-18T02:54:28.726356+00:00"}