{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:HIP6PTOY2WTRJCEFPHXAKQ5OWY","short_pith_number":"pith:HIP6PTOY","schema_version":"1.0","canonical_sha256":"3a1fe7cdd8d5a714888579ee0543aeb60382841bdeaf68ebca5aabdbe4d81677","source":{"kind":"arxiv","id":"math/0205273","version":1},"attestation_state":"computed","paper":{"title":"Embedding, compression and fiberwise homotopy theory","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"John R. Klein","submitted_at":"2002-05-26T19:09:57Z","abstract_excerpt":"Given Poincare spaces M and X, we study the possibility of compressing embeddings of M x I in X x I down to embeddings of M in X. This results in a new approach to embedding in the metastable range both in the smooth and Poincare duality categories."},"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/0205273","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AT","submitted_at":"2002-05-26T19:09:57Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"8965beb9ac29ff06e6809235d7742fd8b809777144158b2d3b1074feb6244380","abstract_canon_sha256":"e0b7081ad9b46c811bfd7224c7d7142bfbc552b3006d2ef944e1a5ea72f4f877"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:33.016844Z","signature_b64":"4fujeumOVAKWAl/L61gpS4ig37K3SusmYOAlR1PhN1na+OlACV3pijyjXB0cJROK1sKWIUQUSw+bdvdv4kY1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a1fe7cdd8d5a714888579ee0543aeb60382841bdeaf68ebca5aabdbe4d81677","last_reissued_at":"2026-05-18T02:41:33.016457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:33.016457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embedding, compression and fiberwise homotopy theory","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"John R. Klein","submitted_at":"2002-05-26T19:09:57Z","abstract_excerpt":"Given Poincare spaces M and X, we study the possibility of compressing embeddings of M x I in X x I down to embeddings of M in X. This results in a new approach to embedding in the metastable range both in the smooth and Poincare duality categories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0205273","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":"math/0205273","created_at":"2026-05-18T02:41:33.016525+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0205273v1","created_at":"2026-05-18T02:41:33.016525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0205273","created_at":"2026-05-18T02:41:33.016525+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIP6PTOY2WTR","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIP6PTOY2WTRJCEF","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIP6PTOY","created_at":"2026-05-18T12:25:50.845339+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/HIP6PTOY2WTRJCEFPHXAKQ5OWY","json":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY.json","graph_json":"https://pith.science/api/pith-number/HIP6PTOY2WTRJCEFPHXAKQ5OWY/graph.json","events_json":"https://pith.science/api/pith-number/HIP6PTOY2WTRJCEFPHXAKQ5OWY/events.json","paper":"https://pith.science/paper/HIP6PTOY"},"agent_actions":{"view_html":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY","download_json":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY.json","view_paper":"https://pith.science/paper/HIP6PTOY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0205273&json=true","fetch_graph":"https://pith.science/api/pith-number/HIP6PTOY2WTRJCEFPHXAKQ5OWY/graph.json","fetch_events":"https://pith.science/api/pith-number/HIP6PTOY2WTRJCEFPHXAKQ5OWY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY/action/storage_attestation","attest_author":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY/action/author_attestation","sign_citation":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY/action/citation_signature","submit_replication":"https://pith.science/pith/HIP6PTOY2WTRJCEFPHXAKQ5OWY/action/replication_record"}},"created_at":"2026-05-18T02:41:33.016525+00:00","updated_at":"2026-05-18T02:41:33.016525+00:00"}