{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VGCFUCLJPF4Q4K7AGS7UKQG2NQ","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":"2ac1bc4f571fdee85fd6eae48e28af96e0395c1bcf58afea6fd59038b9649a37","cross_cats_sorted":["math.LO"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.GR","submitted_at":"2024-10-01T18:05:17Z","title_canon_sha256":"40f1c452230563a9f76bbdb88381a17659b65225bbb94b9cc6b8582642881051"},"schema_version":"1.0","source":{"id":"2410.00977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.00977","created_at":"2026-07-05T09:14:41Z"},{"alias_kind":"arxiv_version","alias_value":"2410.00977v1","created_at":"2026-07-05T09:14:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.00977","created_at":"2026-07-05T09:14:41Z"},{"alias_kind":"pith_short_12","alias_value":"VGCFUCLJPF4Q","created_at":"2026-07-05T09:14:41Z"},{"alias_kind":"pith_short_16","alias_value":"VGCFUCLJPF4Q4K7A","created_at":"2026-07-05T09:14:41Z"},{"alias_kind":"pith_short_8","alias_value":"VGCFUCLJ","created_at":"2026-07-05T09:14:41Z"}],"graph_snapshots":[{"event_id":"sha256:69d5d3634be81ef57b3e6a36da84e45e6f5ca643450072dca16acef5f5fda1e4","target":"graph","created_at":"2026-07-05T09:14:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.00977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the homomorphisms from a fixed finitely generated group to strictly acylindrical colorable hierarchically hyperbolic groups. We prove that any such group is equationally noetherian.","authors_text":"Ohana Barak","cross_cats":["math.LO"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.GR","submitted_at":"2024-10-01T18:05:17Z","title":"On Equational Noetherianity of Colorable Hierarchically Hyperbolic Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.00977","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:b9da1055b21e0bcff80163f187334b3429cf18ea87fbf0464050f62342680c04","target":"record","created_at":"2026-07-05T09:14:41Z","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":"2ac1bc4f571fdee85fd6eae48e28af96e0395c1bcf58afea6fd59038b9649a37","cross_cats_sorted":["math.LO"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.GR","submitted_at":"2024-10-01T18:05:17Z","title_canon_sha256":"40f1c452230563a9f76bbdb88381a17659b65225bbb94b9cc6b8582642881051"},"schema_version":"1.0","source":{"id":"2410.00977","kind":"arxiv","version":1}},"canonical_sha256":"a9845a096979790e2be034bf4540da6c32389ae9ebf87ae1c51ed2b23ecbadc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9845a096979790e2be034bf4540da6c32389ae9ebf87ae1c51ed2b23ecbadc3","first_computed_at":"2026-07-05T09:14:41.276801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:14:41.276801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9TviLctXJuJAGkXCSf1Y4ZYJtqWazkL7E+GOCz0L8j5JhwiFilVbPhFzxi9LaTo6aAR3g8MBYHKHu2PqEbe7Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:14:41.277266Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.00977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9da1055b21e0bcff80163f187334b3429cf18ea87fbf0464050f62342680c04","sha256:69d5d3634be81ef57b3e6a36da84e45e6f5ca643450072dca16acef5f5fda1e4"],"state_sha256":"7bf38998dddd175984b63e7d8f3418aea83c488bc9910655841c78cd6b5307af"}