{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZOA3A2V46QQV6XNETOZUE2DRKA","short_pith_number":"pith:ZOA3A2V4","schema_version":"1.0","canonical_sha256":"cb81b06abcf4215f5da49bb34268715000188f1a531b27d82fdad1d3cab023c5","source":{"kind":"arxiv","id":"1704.08789","version":2},"attestation_state":"computed","paper":{"title":"Lipschitz homotopy convergence of Alexandrov spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.MG","authors_text":"Ayato Mitsuishi, Takao Yamaguchi","submitted_at":"2017-04-28T02:01:09Z","abstract_excerpt":"We introduce the notion of good coverings of metric spaces, and prove that if a metric space admits a good covering, then it has the same locally Lipschitz homotopy type as the nerve complex of the covering. As an application, we obtain a Lipschitz homotopy stability result for a moduli space of compact Alexandrov spaces without collapsing."},"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":"1704.08789","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-04-28T02:01:09Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"df4e0081f75002145c423316d3f645c204013553eb602a7ea8e3da6ac1863572","abstract_canon_sha256":"549956027a79cdbcf08f6a698617f5351b5761a57bee630856b42c0fd55521fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:10.080596Z","signature_b64":"IvyZFJPKNGDbUMjHAUEqP2T4eLZ/SPbXnQO/ZVhu48PqwmF6m4ZBbq3L+dfpRYGmB/McCRrRusEg0ZPsQzGjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb81b06abcf4215f5da49bb34268715000188f1a531b27d82fdad1d3cab023c5","last_reissued_at":"2026-05-18T00:09:10.079775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:10.079775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lipschitz homotopy convergence of Alexandrov spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.MG","authors_text":"Ayato Mitsuishi, Takao Yamaguchi","submitted_at":"2017-04-28T02:01:09Z","abstract_excerpt":"We introduce the notion of good coverings of metric spaces, and prove that if a metric space admits a good covering, then it has the same locally Lipschitz homotopy type as the nerve complex of the covering. As an application, we obtain a Lipschitz homotopy stability result for a moduli space of compact Alexandrov spaces without collapsing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08789","kind":"arxiv","version":2},"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":"1704.08789","created_at":"2026-05-18T00:09:10.079912+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.08789v2","created_at":"2026-05-18T00:09:10.079912+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08789","created_at":"2026-05-18T00:09:10.079912+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZOA3A2V46QQV","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZOA3A2V46QQV6XNE","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZOA3A2V4","created_at":"2026-05-18T12:31:59.375834+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/ZOA3A2V46QQV6XNETOZUE2DRKA","json":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA.json","graph_json":"https://pith.science/api/pith-number/ZOA3A2V46QQV6XNETOZUE2DRKA/graph.json","events_json":"https://pith.science/api/pith-number/ZOA3A2V46QQV6XNETOZUE2DRKA/events.json","paper":"https://pith.science/paper/ZOA3A2V4"},"agent_actions":{"view_html":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA","download_json":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA.json","view_paper":"https://pith.science/paper/ZOA3A2V4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.08789&json=true","fetch_graph":"https://pith.science/api/pith-number/ZOA3A2V46QQV6XNETOZUE2DRKA/graph.json","fetch_events":"https://pith.science/api/pith-number/ZOA3A2V46QQV6XNETOZUE2DRKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA/action/storage_attestation","attest_author":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA/action/author_attestation","sign_citation":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA/action/citation_signature","submit_replication":"https://pith.science/pith/ZOA3A2V46QQV6XNETOZUE2DRKA/action/replication_record"}},"created_at":"2026-05-18T00:09:10.079912+00:00","updated_at":"2026-05-18T00:09:10.079912+00:00"}