{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:BDDOWB3YQP45XGXFV2GHMH2BRE","short_pith_number":"pith:BDDOWB3Y","schema_version":"1.0","canonical_sha256":"08c6eb077883f9db9ae5ae8c761f418902136ecc34c5c5a6d628cd3f55604282","source":{"kind":"arxiv","id":"2410.08640","version":2},"attestation_state":"computed","paper":{"title":"Spaces Related to Virtual Artin Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Federica Gavazzi","submitted_at":"2024-10-11T09:07:14Z","abstract_excerpt":"This work explores the topological properties of virtual Artin groups, a recent extension of the ``virtual\" concept - initially developed for braids - to all Artin groups, as introduced by Bellingeri, Paris, and Thiel. For any given Coxeter graph $\\Gamma$, we define a CW-complex $\\Omega(\\Gamma)$ whose fundamental group is isomorphic to the pure virtual Artin group $\\mathrm{PVA}[\\Gamma]$, which coincides with the pure virtual braid group when $\\Gamma$ is $A_{n-1}$. This construction generalizes the previously studied BEER complex, originally defined for pure virtual braids, to all Coxeter graph"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2410.08640","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-10-11T09:07:14Z","cross_cats_sorted":[],"title_canon_sha256":"68a2d30c61dc12a2db51b3cbd9fd0c1289c7677a48f4ba2372b38a0fd7839d61","abstract_canon_sha256":"32288b9f674b4845c1116596222b198f14eb558141d29e9ebed64a151d55bee6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:13:43.794351Z","signature_b64":"GyI4ndAfjaPU60m9SRg8ajaS/fqmWM1VwQBZXuEoP6L6IPGdr0sztlToc8UD+VqUM22gxT0lVIwrVjEOFxlSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08c6eb077883f9db9ae5ae8c761f418902136ecc34c5c5a6d628cd3f55604282","last_reissued_at":"2026-06-23T03:13:43.793830Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:13:43.793830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spaces Related to Virtual Artin Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Federica Gavazzi","submitted_at":"2024-10-11T09:07:14Z","abstract_excerpt":"This work explores the topological properties of virtual Artin groups, a recent extension of the ``virtual\" concept - initially developed for braids - to all Artin groups, as introduced by Bellingeri, Paris, and Thiel. For any given Coxeter graph $\\Gamma$, we define a CW-complex $\\Omega(\\Gamma)$ whose fundamental group is isomorphic to the pure virtual Artin group $\\mathrm{PVA}[\\Gamma]$, which coincides with the pure virtual braid group when $\\Gamma$ is $A_{n-1}$. This construction generalizes the previously studied BEER complex, originally defined for pure virtual braids, to all Coxeter graph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08640","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.08640/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2410.08640","created_at":"2026-06-23T03:13:43.793893+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.08640v2","created_at":"2026-06-23T03:13:43.793893+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08640","created_at":"2026-06-23T03:13:43.793893+00:00"},{"alias_kind":"pith_short_12","alias_value":"BDDOWB3YQP45","created_at":"2026-06-23T03:13:43.793893+00:00"},{"alias_kind":"pith_short_16","alias_value":"BDDOWB3YQP45XGXF","created_at":"2026-06-23T03:13:43.793893+00:00"},{"alias_kind":"pith_short_8","alias_value":"BDDOWB3Y","created_at":"2026-06-23T03:13:43.793893+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.12829","citing_title":"Cactus flower spaces and monodromy of Bethe vectors","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE","json":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE.json","graph_json":"https://pith.science/api/pith-number/BDDOWB3YQP45XGXFV2GHMH2BRE/graph.json","events_json":"https://pith.science/api/pith-number/BDDOWB3YQP45XGXFV2GHMH2BRE/events.json","paper":"https://pith.science/paper/BDDOWB3Y"},"agent_actions":{"view_html":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE","download_json":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE.json","view_paper":"https://pith.science/paper/BDDOWB3Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.08640&json=true","fetch_graph":"https://pith.science/api/pith-number/BDDOWB3YQP45XGXFV2GHMH2BRE/graph.json","fetch_events":"https://pith.science/api/pith-number/BDDOWB3YQP45XGXFV2GHMH2BRE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE/action/storage_attestation","attest_author":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE/action/author_attestation","sign_citation":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE/action/citation_signature","submit_replication":"https://pith.science/pith/BDDOWB3YQP45XGXFV2GHMH2BRE/action/replication_record"}},"created_at":"2026-06-23T03:13:43.793893+00:00","updated_at":"2026-06-23T03:13:43.793893+00:00"}