{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U7QW7XKRTROTHZIF34LFRSZ6YS","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":"510e109282dfbaf2697902d8c35b01585958562fa2ef1f4933da7d93c5ee66b0","cross_cats_sorted":["math.GT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-04-30T11:49:39Z","title_canon_sha256":"453a3ad1d58efda23e2b4fe4df26dea957fd2a6b22a341ff5136f2918797ade6"},"schema_version":"1.0","source":{"id":"1804.11133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.11133","created_at":"2026-05-18T00:17:14Z"},{"alias_kind":"arxiv_version","alias_value":"1804.11133v1","created_at":"2026-05-18T00:17:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.11133","created_at":"2026-05-18T00:17:14Z"},{"alias_kind":"pith_short_12","alias_value":"U7QW7XKRTROT","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U7QW7XKRTROTHZIF","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U7QW7XKR","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:4ef15e751b82c1f46bce20c1b2ffd211ea3fbcdf486a933b82b0ec3fb5e0596f","target":"graph","created_at":"2026-05-18T00:17:14Z","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 the Dehn function of the handlebody group is exponential in any genus $g\\geq 3$. On the other hand, we show that the handlebody group of genus $2$ is cubical, biautomatic, and therefore has a quadratic Dehn function.","authors_text":"Sebastian Hensel, Ursula Hamenst\\\"adt","cross_cats":["math.GT","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-04-30T11:49:39Z","title":"The Geometry of the Handlebody Groups II: Dehn functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.11133","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":"sha256:26678f4eee7a9e5791be8db40ce103fc98cdeed7d8357676a3908f8f4de101c3","target":"record","created_at":"2026-05-18T00:17:14Z","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":"510e109282dfbaf2697902d8c35b01585958562fa2ef1f4933da7d93c5ee66b0","cross_cats_sorted":["math.GT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-04-30T11:49:39Z","title_canon_sha256":"453a3ad1d58efda23e2b4fe4df26dea957fd2a6b22a341ff5136f2918797ade6"},"schema_version":"1.0","source":{"id":"1804.11133","kind":"arxiv","version":1}},"canonical_sha256":"a7e16fdd519c5d33e505df1658cb3ec49d3b788769e6a6d9fc3326204638ff27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7e16fdd519c5d33e505df1658cb3ec49d3b788769e6a6d9fc3326204638ff27","first_computed_at":"2026-05-18T00:17:14.537233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:14.537233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RtOGQuoHw1fC5UYb7mMz84telYLK5Q1U+LNDl13jhl1nHsJo4nnUwe1u53iD6zngwj07KQG/mYdrqcQ7oAVTBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:14.537904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.11133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26678f4eee7a9e5791be8db40ce103fc98cdeed7d8357676a3908f8f4de101c3","sha256:4ef15e751b82c1f46bce20c1b2ffd211ea3fbcdf486a933b82b0ec3fb5e0596f"],"state_sha256":"6638210339e397626469b433596431a6393f4e25d2ba6f01e1aaa2201565af95"}