{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ILB7FUF4GUFWBUYKSQCOCONCWJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0976e3b84397989d692998557ea72b79cdd453a637d1e3468d8be62886f527b5","cross_cats_sorted":["math.AT","math.KT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-05-13T09:05:09Z","title_canon_sha256":"611cc9b68c7c6f5792b11ec011f23cdfd867baf48e59937a5a24374c6fa31fad"},"schema_version":"1.0","source":{"id":"2405.07566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.07566","created_at":"2026-07-05T08:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"2405.07566v1","created_at":"2026-07-05T08:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.07566","created_at":"2026-07-05T08:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"ILB7FUF4GUFW","created_at":"2026-07-05T08:18:24Z"},{"alias_kind":"pith_short_16","alias_value":"ILB7FUF4GUFWBUYK","created_at":"2026-07-05T08:18:24Z"},{"alias_kind":"pith_short_8","alias_value":"ILB7FUF4","created_at":"2026-07-05T08:18:24Z"}],"graph_snapshots":[{"event_id":"sha256:ca83fff3532b1bfa87e5cb0d48abc2a5ebd983ba5102b1eb7a5d60badcd2597d","target":"graph","created_at":"2026-07-05T08:18:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.07566/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a new kind of homological stability theorem for automorphism groups of finitely-generated projective modules over Dedekind domains, which takes into account all possible stabilisation maps between these, rather than only stabilisation by the free module of rank 1. We show the same kind of stability holds for Clausen and Jansen's reductive Borel--Serre spaces.","authors_text":"Oscar Randal-Williams","cross_cats":["math.AT","math.KT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-05-13T09:05:09Z","title":"Homological stability for general linear groups over Dedekind domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.07566","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6e56f68d2240e9699a4e158fc8dd35e59afc469134a8edc4ed6cb459bbccbaee","target":"record","created_at":"2026-07-05T08:18:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0976e3b84397989d692998557ea72b79cdd453a637d1e3468d8be62886f527b5","cross_cats_sorted":["math.AT","math.KT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-05-13T09:05:09Z","title_canon_sha256":"611cc9b68c7c6f5792b11ec011f23cdfd867baf48e59937a5a24374c6fa31fad"},"schema_version":"1.0","source":{"id":"2405.07566","kind":"arxiv","version":1}},"canonical_sha256":"42c3f2d0bc350b60d30a9404e139a2b26998b1545451b2040701669fa983b7cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42c3f2d0bc350b60d30a9404e139a2b26998b1545451b2040701669fa983b7cb","first_computed_at":"2026-07-05T08:18:24.809906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:18:24.809906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0lLuVfZuKDr9q4JUjl55byXoeztw30gzzaSQVtCuYbNPFWTZUFgkE3QtGG9UZg1PrhmnxE28uFINkWE3/bzxAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:18:24.810280Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.07566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e56f68d2240e9699a4e158fc8dd35e59afc469134a8edc4ed6cb459bbccbaee","sha256:ca83fff3532b1bfa87e5cb0d48abc2a5ebd983ba5102b1eb7a5d60badcd2597d"],"state_sha256":"9c4a6bb30c31728a70718c55a010179f9509d7bd447f93de56f8cdc174d2401b"}