{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RDG2FLBZIRX7MNUQHPU2SRSL4X","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":"e3001332350b32ff1080dae829404dfe1114d426677e3e15c32441fe6f82701e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-12T22:40:00Z","title_canon_sha256":"596059476ce8c33f3f9346dd3ccf128d970c84dbeeedd8d8b8bb4dff5551ea82"},"schema_version":"1.0","source":{"id":"1702.03585","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03585","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03585v1","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03585","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"RDG2FLBZIRX7","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RDG2FLBZIRX7MNUQ","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RDG2FLBZ","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:a5d02f39cfb2760c8d0113c280366a18a7da66fe67ad55c173925e7c4ffd38d5","target":"graph","created_at":"2026-05-18T00:20:56Z","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"},"paper":{"abstract_excerpt":"In this paper, we compute the second mod $2$ homology of an arbitrary Artin group, without assuming the $K(\\pi,1)$ conjecture. The key ingredients are (A) Hopf's formula for the second integral homology of a group and (B) Howlett's result on the second integral homology of Coxeter groups.","authors_text":"Toshiyuki Akita, Ye Liu","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-12T22:40:00Z","title":"Second mod $2$ homology of Artin groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03585","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:da1a65d8932a7eab9a85bcb85e6ec36c3b8b6ead0193dd380b173f4cdaa76965","target":"record","created_at":"2026-05-18T00:20:56Z","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":"e3001332350b32ff1080dae829404dfe1114d426677e3e15c32441fe6f82701e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-12T22:40:00Z","title_canon_sha256":"596059476ce8c33f3f9346dd3ccf128d970c84dbeeedd8d8b8bb4dff5551ea82"},"schema_version":"1.0","source":{"id":"1702.03585","kind":"arxiv","version":1}},"canonical_sha256":"88cda2ac39446ff636903be9a9464be5f90369f5d757838c23883a73d15fb59c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88cda2ac39446ff636903be9a9464be5f90369f5d757838c23883a73d15fb59c","first_computed_at":"2026-05-18T00:20:56.716245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:56.716245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hv/RbanSEpsMSqtCjtt1UFDlDTCjAmyx9b8B7V5VEg7Rj6UEWZFDMF1VlTYgzPmDhzG46pF1TswA3jSg8zi5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:56.716791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03585","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da1a65d8932a7eab9a85bcb85e6ec36c3b8b6ead0193dd380b173f4cdaa76965","sha256:a5d02f39cfb2760c8d0113c280366a18a7da66fe67ad55c173925e7c4ffd38d5"],"state_sha256":"01cf68f2f0e467ee2c54f07abaeb7607ca18858b05f430dd714de9d830c2c92e"}