{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:R5WQE374A7RQZQT6OU2CUP65XY","short_pith_number":"pith:R5WQE374","schema_version":"1.0","canonical_sha256":"8f6d026ffc07e30cc27e75342a3fddbe1a8e2f31105ec35f83026492b128fdca","source":{"kind":"arxiv","id":"1605.04142","version":3},"attestation_state":"computed","paper":{"title":"On the category of stratifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.KT"],"primary_cat":"math.CT","authors_text":"Katsuhiko Kuribayashi, Toshiki Aoki","submitted_at":"2016-05-13T11:51:21Z","abstract_excerpt":"Stratifolds are considered from a categorical point of view. We show among others that the category of stratifolds fully faithfully embeds into the category of ${\\mathbb R}$-algebras as does the category of smooth manifolds. We prove that a variant of the Serre-Swan theorem holds for stratifolds. In particular, the category of vector bundles over a stratifold is shown to be equivalent to the category of vector bundles over an associated affine scheme although the latter is in general larger than the stratifold itself."},"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":"1605.04142","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2016-05-13T11:51:21Z","cross_cats_sorted":["math.AG","math.AT","math.KT"],"title_canon_sha256":"35f38120e326b757959932a5e99e6b0c53856540941c92cd1f758520583db9d1","abstract_canon_sha256":"f5a31698ec753f951ae49fb5c2edc60e220fd6441ebd448a9d2f557c2bbe3600"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:09.862306Z","signature_b64":"gA2WdERwoZJdTUlsKpvzKfh1mMpQV1ZKd1aMiPzDULIKJIrFvlQ7WvLALey8khpiJbQwJN3Pvmh/UkuaoEyQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f6d026ffc07e30cc27e75342a3fddbe1a8e2f31105ec35f83026492b128fdca","last_reissued_at":"2026-05-18T00:48:09.861745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:09.861745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the category of stratifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.KT"],"primary_cat":"math.CT","authors_text":"Katsuhiko Kuribayashi, Toshiki Aoki","submitted_at":"2016-05-13T11:51:21Z","abstract_excerpt":"Stratifolds are considered from a categorical point of view. We show among others that the category of stratifolds fully faithfully embeds into the category of ${\\mathbb R}$-algebras as does the category of smooth manifolds. We prove that a variant of the Serre-Swan theorem holds for stratifolds. In particular, the category of vector bundles over a stratifold is shown to be equivalent to the category of vector bundles over an associated affine scheme although the latter is in general larger than the stratifold itself."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04142","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":"1605.04142","created_at":"2026-05-18T00:48:09.861829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.04142v3","created_at":"2026-05-18T00:48:09.861829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04142","created_at":"2026-05-18T00:48:09.861829+00:00"},{"alias_kind":"pith_short_12","alias_value":"R5WQE374A7RQ","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"R5WQE374A7RQZQT6","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"R5WQE374","created_at":"2026-05-18T12:30:41.710351+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/R5WQE374A7RQZQT6OU2CUP65XY","json":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY.json","graph_json":"https://pith.science/api/pith-number/R5WQE374A7RQZQT6OU2CUP65XY/graph.json","events_json":"https://pith.science/api/pith-number/R5WQE374A7RQZQT6OU2CUP65XY/events.json","paper":"https://pith.science/paper/R5WQE374"},"agent_actions":{"view_html":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY","download_json":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY.json","view_paper":"https://pith.science/paper/R5WQE374","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.04142&json=true","fetch_graph":"https://pith.science/api/pith-number/R5WQE374A7RQZQT6OU2CUP65XY/graph.json","fetch_events":"https://pith.science/api/pith-number/R5WQE374A7RQZQT6OU2CUP65XY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY/action/storage_attestation","attest_author":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY/action/author_attestation","sign_citation":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY/action/citation_signature","submit_replication":"https://pith.science/pith/R5WQE374A7RQZQT6OU2CUP65XY/action/replication_record"}},"created_at":"2026-05-18T00:48:09.861829+00:00","updated_at":"2026-05-18T00:48:09.861829+00:00"}