{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AX6HOU7KCKRTILAX3AFWRG42SM","short_pith_number":"pith:AX6HOU7K","schema_version":"1.0","canonical_sha256":"05fc7753ea12a3342c17d80b689b9a931baddb0a206529798c00c8445321b20f","source":{"kind":"arxiv","id":"1510.02456","version":3},"attestation_state":"computed","paper":{"title":"Proving homological stability for homeomorphisms of manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Alexander Kupers","submitted_at":"2015-10-08T19:33:08Z","abstract_excerpt":"Following the argument for diffeomorphisms by Galatius and Randal-Williams, we prove that homeomorphisms of 1-connected manifolds of even dimension at least 6 exhibit homological stability. We deduce similar results for PL homeomorphisms and homeomorphisms as a discrete group."},"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":"1510.02456","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-10-08T19:33:08Z","cross_cats_sorted":[],"title_canon_sha256":"0a2589af54277f50469035e61da5db7f382115572b634d638e4170f7395d720a","abstract_canon_sha256":"10af179d7e63e7c6048c1dc030abb93cefb30178981c01a4a883e6c3d88cbcfe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:26.323399Z","signature_b64":"M8f3B7CRGy6d50QfTdl/vZT+sfXf2VGEgSkwvgfdEYSdcS/AVCVCKqzoLGDbv40wyZlf6YIk3YMlWvJ5lG3cBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05fc7753ea12a3342c17d80b689b9a931baddb0a206529798c00c8445321b20f","last_reissued_at":"2026-05-18T01:08:26.322929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:26.322929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proving homological stability for homeomorphisms of manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Alexander Kupers","submitted_at":"2015-10-08T19:33:08Z","abstract_excerpt":"Following the argument for diffeomorphisms by Galatius and Randal-Williams, we prove that homeomorphisms of 1-connected manifolds of even dimension at least 6 exhibit homological stability. We deduce similar results for PL homeomorphisms and homeomorphisms as a discrete group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02456","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":"1510.02456","created_at":"2026-05-18T01:08:26.322999+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.02456v3","created_at":"2026-05-18T01:08:26.322999+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02456","created_at":"2026-05-18T01:08:26.322999+00:00"},{"alias_kind":"pith_short_12","alias_value":"AX6HOU7KCKRT","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AX6HOU7KCKRTILAX","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AX6HOU7K","created_at":"2026-05-18T12:29:10.953037+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.15087","citing_title":"Diffeomorphism groups and gauge theory for families","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM","json":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM.json","graph_json":"https://pith.science/api/pith-number/AX6HOU7KCKRTILAX3AFWRG42SM/graph.json","events_json":"https://pith.science/api/pith-number/AX6HOU7KCKRTILAX3AFWRG42SM/events.json","paper":"https://pith.science/paper/AX6HOU7K"},"agent_actions":{"view_html":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM","download_json":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM.json","view_paper":"https://pith.science/paper/AX6HOU7K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.02456&json=true","fetch_graph":"https://pith.science/api/pith-number/AX6HOU7KCKRTILAX3AFWRG42SM/graph.json","fetch_events":"https://pith.science/api/pith-number/AX6HOU7KCKRTILAX3AFWRG42SM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM/action/storage_attestation","attest_author":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM/action/author_attestation","sign_citation":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM/action/citation_signature","submit_replication":"https://pith.science/pith/AX6HOU7KCKRTILAX3AFWRG42SM/action/replication_record"}},"created_at":"2026-05-18T01:08:26.322999+00:00","updated_at":"2026-05-18T01:08:26.322999+00:00"}