{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:3LULCQY7K4J6CXNUYIQNQNOXSC","short_pith_number":"pith:3LULCQY7","schema_version":"1.0","canonical_sha256":"dae8b1431f5713e15db4c220d835d7909e8890c363e824ce83994bfdbcbd34b3","source":{"kind":"arxiv","id":"math/0509053","version":3},"attestation_state":"computed","paper":{"title":"Manifolds homotopy equivalent to P^n # P^n","license":"","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"James F. Davis, Jeremy Brookman, Qayum Khan","submitted_at":"2005-09-02T18:48:39Z","abstract_excerpt":"We classify, up to homeomorphism, all closed manifolds having the homotopy type of a connected sum of two copies of real projective n-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":"math/0509053","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2005-09-02T18:48:39Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"31e75585aebaa0566011235fac1ca2188f2f6c057a11a8c66d3b91e2771b567b","abstract_canon_sha256":"693673e046cc1a1e7144d895f47ac2b5a5f7b75e20670567a35d58bc031fa56f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:36.648266Z","signature_b64":"08bKysO7kiYUjvUx72VOJrAhWzL38hBso2yhAt3CRwwgHXsFMr3eXgM0AdMS6rKR2Vk76wHA697GfEw0EZxuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dae8b1431f5713e15db4c220d835d7909e8890c363e824ce83994bfdbcbd34b3","last_reissued_at":"2026-05-18T01:14:36.647445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:36.647445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Manifolds homotopy equivalent to P^n # P^n","license":"","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"James F. Davis, Jeremy Brookman, Qayum Khan","submitted_at":"2005-09-02T18:48:39Z","abstract_excerpt":"We classify, up to homeomorphism, all closed manifolds having the homotopy type of a connected sum of two copies of real projective n-space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509053","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":"math/0509053","created_at":"2026-05-18T01:14:36.647580+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0509053v3","created_at":"2026-05-18T01:14:36.647580+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0509053","created_at":"2026-05-18T01:14:36.647580+00:00"},{"alias_kind":"pith_short_12","alias_value":"3LULCQY7K4J6","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"3LULCQY7K4J6CXNU","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"3LULCQY7","created_at":"2026-05-18T12:25:52.687210+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/3LULCQY7K4J6CXNUYIQNQNOXSC","json":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC.json","graph_json":"https://pith.science/api/pith-number/3LULCQY7K4J6CXNUYIQNQNOXSC/graph.json","events_json":"https://pith.science/api/pith-number/3LULCQY7K4J6CXNUYIQNQNOXSC/events.json","paper":"https://pith.science/paper/3LULCQY7"},"agent_actions":{"view_html":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC","download_json":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC.json","view_paper":"https://pith.science/paper/3LULCQY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0509053&json=true","fetch_graph":"https://pith.science/api/pith-number/3LULCQY7K4J6CXNUYIQNQNOXSC/graph.json","fetch_events":"https://pith.science/api/pith-number/3LULCQY7K4J6CXNUYIQNQNOXSC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC/action/storage_attestation","attest_author":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC/action/author_attestation","sign_citation":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC/action/citation_signature","submit_replication":"https://pith.science/pith/3LULCQY7K4J6CXNUYIQNQNOXSC/action/replication_record"}},"created_at":"2026-05-18T01:14:36.647580+00:00","updated_at":"2026-05-18T01:14:36.647580+00:00"}