{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EX7K5YW5PMMPOTORBHBEZCRD5R","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":"2d12f14bba775f960e6075f2837dd726177a1c9f243cb23214203012ea1cd231","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-07T09:09:07Z","title_canon_sha256":"6477f116b5ca5aacf59180a022cb42fdc36d758c6fe1fe98c7bb32d670763ae0"},"schema_version":"1.0","source":{"id":"1310.1708","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1708","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1708v2","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1708","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"EX7K5YW5PMMP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EX7K5YW5PMMPOTOR","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EX7K5YW5","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:1ebbde44c4fa2fc10c234e5c2c184659feb248b53506db825ce5c839377c1166","target":"graph","created_at":"2026-05-18T02:47:15Z","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 W be a finite complex reflection group acting on the complex vector space V and let A(W) = (A(W), V) be the associated reflection arrangement. In an earlier paper by the last two authros, we classified all inductively free reflection arrangements A(W). The aim of this note is to extend this work by determining all inductively free restrictions of reflection arrangements.","authors_text":"Gerhard Roehrle, Nils Amend, Torsten Hoge","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-07T09:09:07Z","title":"On inductively free Restrictions of Reflection Arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1708","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":"sha256:79405bd539791398f77fd27de553b41338771e22cf80d79258c1195a827ee978","target":"record","created_at":"2026-05-18T02:47:15Z","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":"2d12f14bba775f960e6075f2837dd726177a1c9f243cb23214203012ea1cd231","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-07T09:09:07Z","title_canon_sha256":"6477f116b5ca5aacf59180a022cb42fdc36d758c6fe1fe98c7bb32d670763ae0"},"schema_version":"1.0","source":{"id":"1310.1708","kind":"arxiv","version":2}},"canonical_sha256":"25feaee2dd7b18f74dd109c24c8a23ec7c69644b2f69b7c9dcf995d45c81fb7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25feaee2dd7b18f74dd109c24c8a23ec7c69644b2f69b7c9dcf995d45c81fb7a","first_computed_at":"2026-05-18T02:47:15.994712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:15.994712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2HYo0psR/PahSo9Id/OHRe0aHFHCt80sK7I8zUo+pV17Vhi4FxjEgsb3qeV692qKKw6PdRczICDWH5HjWSjBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:15.995429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1708","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79405bd539791398f77fd27de553b41338771e22cf80d79258c1195a827ee978","sha256:1ebbde44c4fa2fc10c234e5c2c184659feb248b53506db825ce5c839377c1166"],"state_sha256":"5c06847d4acc1d7124ada8567446ee1c2fd355ca7cc77cf053794aea3871ad46"}