{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PI2BBTU2PBH3EDKM2T2THQ5LIT","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":"8d30afa6dcda32ad44b3973fb995751dd76ca113f890af093b63fe413b88f0a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-09-12T21:43:30Z","title_canon_sha256":"b7b3db2fba120eae021b163b390647f5a3923fb84975150c105cefa32dd89684"},"schema_version":"1.0","source":{"id":"1709.04066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04066","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04066v1","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04066","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"PI2BBTU2PBH3","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PI2BBTU2PBH3EDKM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PI2BBTU2","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:c43fbd9ada72946b02cae82ac5bc3aee9c33f6e37ed498dc4b6783e6d70c6ec3","target":"graph","created_at":"2026-05-18T00:35:15Z","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":"We show that for each positive integer $k$ there exist right-angled Artin groups containing free-by-cyclic subgroups whose monodromy automorphisms grow as $n^k$. As a consequence we produce examples of right-angled Artin groups containing finitely presented subgroups whose Dehn functions grow as $n^{k+2}$.","authors_text":"Ignat Soroko, Noel Brady","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-09-12T21:43:30Z","title":"Dehn functions of subgroups of right-angled Artin groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04066","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":"sha256:1560b95f451e95867dc14d32429a8380bbc570d1ff385f61c73fa8d4a68eda94","target":"record","created_at":"2026-05-18T00:35:15Z","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":"8d30afa6dcda32ad44b3973fb995751dd76ca113f890af093b63fe413b88f0a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-09-12T21:43:30Z","title_canon_sha256":"b7b3db2fba120eae021b163b390647f5a3923fb84975150c105cefa32dd89684"},"schema_version":"1.0","source":{"id":"1709.04066","kind":"arxiv","version":1}},"canonical_sha256":"7a3410ce9a784fb20d4cd4f533c3ab44d1d3307719bdfb8967f6971c1096e717","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a3410ce9a784fb20d4cd4f533c3ab44d1d3307719bdfb8967f6971c1096e717","first_computed_at":"2026-05-18T00:35:15.543936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:15.543936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DIDHP/81qYUFQMhdUnzGpAtVvv5Ba96GqFyZRHR+xmqNTxyYVj18LWHqd+6XPeQbGNZMHub6ZGlRjNVZP2OrDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:15.544534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1560b95f451e95867dc14d32429a8380bbc570d1ff385f61c73fa8d4a68eda94","sha256:c43fbd9ada72946b02cae82ac5bc3aee9c33f6e37ed498dc4b6783e6d70c6ec3"],"state_sha256":"7f067252fc81ab03725e1c9103973be5a18a8e7910c92b9f1a50be52795649fa"}