{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LQGUPRWHB4J6OMEPPHS3XUK6XZ","short_pith_number":"pith:LQGUPRWH","schema_version":"1.0","canonical_sha256":"5c0d47c6c70f13e7308f79e5bbd15ebe4c218b812446499e21fa9786f02adc9d","source":{"kind":"arxiv","id":"1302.6536","version":1},"attestation_state":"computed","paper":{"title":"A survey of surface braid groups and the lower algebraic K-theory of their group rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.KT"],"primary_cat":"math.GT","authors_text":"Daniel Juan-Pineda (CCM), John Guaschi (LMNO)","submitted_at":"2013-02-26T19:04:01Z","abstract_excerpt":"We give a survey of the theory of surface braid groups and the lower algebraic K-theory of their group rings. We recall several definitions and describe various properties of surface braid groups, such as the existence of torsion, orderability, linearity, and their relation both with mapping class groups and with the homotopy groups of the 2-sphere. The braid groups of the 2-sphere and the real projective plane are of particular interest because they possess elements of finite order, and we discuss in detail their torsion and the classification of their finite and virtually cyclic subgroups. F"},"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":"1302.6536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-02-26T19:04:01Z","cross_cats_sorted":["math.GR","math.KT"],"title_canon_sha256":"5054ff3eb94fd0172c6c4f0981604d977d0b6bfcc652648917490d7e64d81bba","abstract_canon_sha256":"1d7ca318f6677b408b4b3d44b56ad58b39f2acc01099af5baaa1d5162e0ac50c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:28.957035Z","signature_b64":"3eSooKd9dwDmY5orO0aUOqrbswIa9iKfsLFg/jk5Uw98e4ydmB1L1jnjMxHeWzZnf0h2s9k64J9G2uIQyVrkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c0d47c6c70f13e7308f79e5bbd15ebe4c218b812446499e21fa9786f02adc9d","last_reissued_at":"2026-05-18T03:32:28.956531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:28.956531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A survey of surface braid groups and the lower algebraic K-theory of their group rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.KT"],"primary_cat":"math.GT","authors_text":"Daniel Juan-Pineda (CCM), John Guaschi (LMNO)","submitted_at":"2013-02-26T19:04:01Z","abstract_excerpt":"We give a survey of the theory of surface braid groups and the lower algebraic K-theory of their group rings. We recall several definitions and describe various properties of surface braid groups, such as the existence of torsion, orderability, linearity, and their relation both with mapping class groups and with the homotopy groups of the 2-sphere. The braid groups of the 2-sphere and the real projective plane are of particular interest because they possess elements of finite order, and we discuss in detail their torsion and the classification of their finite and virtually cyclic subgroups. F"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6536","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1302.6536","created_at":"2026-05-18T03:32:28.956617+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.6536v1","created_at":"2026-05-18T03:32:28.956617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6536","created_at":"2026-05-18T03:32:28.956617+00:00"},{"alias_kind":"pith_short_12","alias_value":"LQGUPRWHB4J6","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LQGUPRWHB4J6OMEP","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LQGUPRWH","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ","json":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ.json","graph_json":"https://pith.science/api/pith-number/LQGUPRWHB4J6OMEPPHS3XUK6XZ/graph.json","events_json":"https://pith.science/api/pith-number/LQGUPRWHB4J6OMEPPHS3XUK6XZ/events.json","paper":"https://pith.science/paper/LQGUPRWH"},"agent_actions":{"view_html":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ","download_json":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ.json","view_paper":"https://pith.science/paper/LQGUPRWH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.6536&json=true","fetch_graph":"https://pith.science/api/pith-number/LQGUPRWHB4J6OMEPPHS3XUK6XZ/graph.json","fetch_events":"https://pith.science/api/pith-number/LQGUPRWHB4J6OMEPPHS3XUK6XZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ/action/storage_attestation","attest_author":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ/action/author_attestation","sign_citation":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ/action/citation_signature","submit_replication":"https://pith.science/pith/LQGUPRWHB4J6OMEPPHS3XUK6XZ/action/replication_record"}},"created_at":"2026-05-18T03:32:28.956617+00:00","updated_at":"2026-05-18T03:32:28.956617+00:00"}