{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XDH6TIM5JPCAZQ23HPT3CSOUK7","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":"bd6d820a7c5a8297693ccb8378363e6d6e6eceb0a8baf524b35ad50a1eb70a85","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-01T20:46:37Z","title_canon_sha256":"6886502d748205707adc591f7cdf0267a3e3330086922dbd01a343d071a818a4"},"schema_version":"1.0","source":{"id":"1702.00446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00446","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00446v2","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00446","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"pith_short_12","alias_value":"XDH6TIM5JPCA","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XDH6TIM5JPCAZQ23","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XDH6TIM5","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:270681f48480b1e32035d0d3ce9fe423eb6407fcac5325bafa1dcd9bcfb03b84","target":"graph","created_at":"2026-05-17T23:57:48Z","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":"We use polyhedral product models to analyse the structure of the commutator subgroup of a right-angled Artin group. In particular, we provide a minimal set of generators for the commutator subgroup, consisting of special iterated commutators of canonical generators.","authors_text":"Taras Panov, Yakov Veryovkin","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-01T20:46:37Z","title":"On the commutator subgroup of a right-angled Artin group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00446","kind":"arxiv","version":2},"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":"sha256:1d5a47882baaecd05d49b0a8e36071de3559aa6307105213da7dc398490ce8ef","target":"record","created_at":"2026-05-17T23:57:48Z","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":"bd6d820a7c5a8297693ccb8378363e6d6e6eceb0a8baf524b35ad50a1eb70a85","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-01T20:46:37Z","title_canon_sha256":"6886502d748205707adc591f7cdf0267a3e3330086922dbd01a343d071a818a4"},"schema_version":"1.0","source":{"id":"1702.00446","kind":"arxiv","version":2}},"canonical_sha256":"b8cfe9a19d4bc40cc35b3be7b149d457edf8eda9123ac0e679e99573b79d94ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8cfe9a19d4bc40cc35b3be7b149d457edf8eda9123ac0e679e99573b79d94ed","first_computed_at":"2026-05-17T23:57:48.966100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:48.966100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cNjneSiF1dE+Rw91v/x+hrfyZ1Jub3JlBnnfHq77huZZVMhl8CVdlG+MjhsxzMC4uE4Hcf0Af25L1XT75gW5Dg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:48.966675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d5a47882baaecd05d49b0a8e36071de3559aa6307105213da7dc398490ce8ef","sha256:270681f48480b1e32035d0d3ce9fe423eb6407fcac5325bafa1dcd9bcfb03b84"],"state_sha256":"c1b8a163502dd8afa647ec8b028d7390c1f0602bf229af341b9eb21f0fa7c6d0"}