{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7H5AKCKTUHMUKIYBJ6GMYLNNGX","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":"ce095e1407e18c30b6b5052de403cde1fb7be1c02c6e53853c80492aa0278cdc","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-01-05T13:50:00Z","title_canon_sha256":"7a68271cc99193f3fc0521500c4d5e665154f027b82e5d3eb67e037c264b59f4"},"schema_version":"1.0","source":{"id":"1701.01313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01313","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01313v1","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01313","created_at":"2026-05-18T00:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"7H5AKCKTUHMU","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7H5AKCKTUHMUKIYB","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7H5AKCKT","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:341430fc033055acba62e5411d9eb5f0e6d2c4073f28ea20606a0b148ae888e8","target":"graph","created_at":"2026-05-18T00:30:46Z","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 bound the size of $d$-dimensional cubulations of finitely presented groups. We apply this bound to obtain acylindrical accessibility for actions on CAT(0) cube complexes and bounds on curves on surfaces.","authors_text":"Benjamin Beeker, Nir Lazarovich","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-01-05T13:50:00Z","title":"Cubical accessibility and bounds on curves on surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01313","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":"sha256:6ce78c4e3d015e5ac12ecce477ee878b04965c126c7d2c8013777569f8a385a7","target":"record","created_at":"2026-05-18T00:30:46Z","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":"ce095e1407e18c30b6b5052de403cde1fb7be1c02c6e53853c80492aa0278cdc","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-01-05T13:50:00Z","title_canon_sha256":"7a68271cc99193f3fc0521500c4d5e665154f027b82e5d3eb67e037c264b59f4"},"schema_version":"1.0","source":{"id":"1701.01313","kind":"arxiv","version":1}},"canonical_sha256":"f9fa050953a1d94523014f8ccc2dad35ce251f84f9a5ec6c9f74cd47e2285078","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9fa050953a1d94523014f8ccc2dad35ce251f84f9a5ec6c9f74cd47e2285078","first_computed_at":"2026-05-18T00:30:46.218620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:46.218620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jrpvxSKrW61h2u9VtAgoIyBICStyk7bLKtuWQsO3dS08e2zpcddio3+IzdBKIxukcWYTy27/V/Q49TAJ45doCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:46.219237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ce78c4e3d015e5ac12ecce477ee878b04965c126c7d2c8013777569f8a385a7","sha256:341430fc033055acba62e5411d9eb5f0e6d2c4073f28ea20606a0b148ae888e8"],"state_sha256":"afb60a76f7af6f72530ce31b0dc33947acb0307f0e203129a36e3214f7edc0ed"}