{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZLVGPIKZLUV4VPIXPUWX2PWYKS","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":"0c36fca12e62f64fcd01ecdf4299657f55d5be2ee7947a1650f996f6e8ffe75f","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-09-10T09:36:50Z","title_canon_sha256":"82842d53a13246d20ae84c0336f99f1cb9ab2a3ba5471abb9d1f85731822eddd"},"schema_version":"1.0","source":{"id":"1209.1919","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1919","created_at":"2026-05-18T03:26:41Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1919v3","created_at":"2026-05-18T03:26:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1919","created_at":"2026-05-18T03:26:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZLVGPIKZLUV4","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZLVGPIKZLUV4VPIX","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZLVGPIKZ","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:432ce40693543d438b51c2dfc10fc43088938c81930122ae66256e21b2f60c77","target":"graph","created_at":"2026-05-18T03:26:41Z","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":"Let A = (A,V) be a complex hyperplane arrangement and let L(A) denote its intersection lattice. The arrangement A is called supersolvable, provided its lattice L(A) is supersolvable, a notion due to Stanley. Jambu and Terao showed that every supersolvable arrangement is inductively free, a notion due to Terao. So this is a natural subclass of this particular class of free arrangements.\n  Suppose that W is a finite, unitary reflection group acting on the complex vector space V. Let A = (A(W), V) be the associated hyperplane arrangement of W. In a recent paper, we determined all inductively free","authors_text":"Gerhard Roehrle, Torsten Hoge","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-09-10T09:36:50Z","title":"On supersolvable reflection arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1919","kind":"arxiv","version":3},"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:ae3e877a9669113e3f46de10ed61783a686ac063e0e2d6cb9bb4397fe61b4a4e","target":"record","created_at":"2026-05-18T03:26:41Z","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":"0c36fca12e62f64fcd01ecdf4299657f55d5be2ee7947a1650f996f6e8ffe75f","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-09-10T09:36:50Z","title_canon_sha256":"82842d53a13246d20ae84c0336f99f1cb9ab2a3ba5471abb9d1f85731822eddd"},"schema_version":"1.0","source":{"id":"1209.1919","kind":"arxiv","version":3}},"canonical_sha256":"caea67a1595d2bcabd177d2d7d3ed854b53e8e5fa3736f001d5af4d436f3e735","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"caea67a1595d2bcabd177d2d7d3ed854b53e8e5fa3736f001d5af4d436f3e735","first_computed_at":"2026-05-18T03:26:41.179458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:41.179458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LYmczGC6sOaDSeORojHuk3cPCBYI2VYNkiQn1I8EgUih8lNOffsDEjxBtuRA1vY+jmHfQmhiSKb+qdPCNSvYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:41.180175Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1919","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae3e877a9669113e3f46de10ed61783a686ac063e0e2d6cb9bb4397fe61b4a4e","sha256:432ce40693543d438b51c2dfc10fc43088938c81930122ae66256e21b2f60c77"],"state_sha256":"d3dfad8a80cd299c3744c8a54e1b37d88bbc6d3a3650f6fb7c8a931f1736941c"}