{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IWWBZQZNCJYNTLO2JHLEUTEWVW","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":"0541fa7778d5e375df51ec29ad50f83e96aee411ab91349690ce2b62ec898639","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-04-13T14:38:38Z","title_canon_sha256":"3f4a617b7a72934e22afea5f5fd17e08efa75b3ba1c3dc6211653d37f67f8c59"},"schema_version":"1.0","source":{"id":"1704.04152","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04152","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04152v3","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04152","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"IWWBZQZNCJYN","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IWWBZQZNCJYNTLO2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IWWBZQZN","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:613d4e0193a771cdfa5e2095aa8387abe93448229fc12c51e2eb29792fcfd2b3","target":"graph","created_at":"2026-05-18T00:16:56Z","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":"By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that the torsion of the lower central series quotients is not combinatorially determined, which gives a negative answer to a question of Suciu.","authors_text":"Beno\\^it Guerville-Ball\\'e, Enrique Artal Bartolo, Juan Viu-Sos","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-04-13T14:38:38Z","title":"Fundamental groups of real arrangements and torsion in the lower central series quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04152","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":"sha256:64d58ab92770f9617ed5eda860ecd3c173180f4f61726691434755a9e59edaba","target":"record","created_at":"2026-05-18T00:16:56Z","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":"0541fa7778d5e375df51ec29ad50f83e96aee411ab91349690ce2b62ec898639","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-04-13T14:38:38Z","title_canon_sha256":"3f4a617b7a72934e22afea5f5fd17e08efa75b3ba1c3dc6211653d37f67f8c59"},"schema_version":"1.0","source":{"id":"1704.04152","kind":"arxiv","version":3}},"canonical_sha256":"45ac1cc32d1270d9adda49d64a4c96adaffd987872535450f8c1add948b4c3a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45ac1cc32d1270d9adda49d64a4c96adaffd987872535450f8c1add948b4c3a5","first_computed_at":"2026-05-18T00:16:56.509283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:56.509283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ixn7/uz4+JNKvbgCK2jzVbNzE3VOInFLKt4OWNmVTErFdpgNdfRTimwRN4t6uqNpA/3lTLU3NLoq3DBSXqdvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:56.509884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04152","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64d58ab92770f9617ed5eda860ecd3c173180f4f61726691434755a9e59edaba","sha256:613d4e0193a771cdfa5e2095aa8387abe93448229fc12c51e2eb29792fcfd2b3"],"state_sha256":"5c3f8e48dbcd3afe190fc45be730c1065ec305763b60d15f22e55c6874a3227e"}