{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:NH7WTCM52K6DQPZYTT4QLVSI3R","short_pith_number":"pith:NH7WTCM5","schema_version":"1.0","canonical_sha256":"69ff69899dd2bc383f389cf905d648dc47629b83fbbec74299b915c8cdc56a34","source":{"kind":"arxiv","id":"math/0406043","version":1},"attestation_state":"computed","paper":{"title":"The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand","license":"","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Matthew G. Brin","submitted_at":"2004-06-02T18:33:02Z","abstract_excerpt":"Presentations are computed for a braided version BV of Thompson's group V and for V itself showing that there is an Artin group/Coxeter group relation between them. The presentation for V is obtained from that for BV by declaring all that all generators are involutions."},"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":"math/0406043","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GR","submitted_at":"2004-06-02T18:33:02Z","cross_cats_sorted":[],"title_canon_sha256":"365ac972dc23ed12b2d065e1dc95be00cff275a5511626d1cb860120aee1de28","abstract_canon_sha256":"e2d5b697016d83f1efe84c59f0c66438a30bb7e54d25fba97460cf5e4eb68ed7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:30.518263Z","signature_b64":"IP5Jj7uCwIBuQTb/nZ6gaiT4KY2ExDO450q3d8QgwfQ7Sv67BedubgM1dFc8fx9hKn8xz981rRnVILVcNLGSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69ff69899dd2bc383f389cf905d648dc47629b83fbbec74299b915c8cdc56a34","last_reissued_at":"2026-05-18T03:16:30.517785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:30.517785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand","license":"","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Matthew G. Brin","submitted_at":"2004-06-02T18:33:02Z","abstract_excerpt":"Presentations are computed for a braided version BV of Thompson's group V and for V itself showing that there is an Artin group/Coxeter group relation between them. The presentation for V is obtained from that for BV by declaring all that all generators are involutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406043","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":"math/0406043","created_at":"2026-05-18T03:16:30.517857+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0406043v1","created_at":"2026-05-18T03:16:30.517857+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406043","created_at":"2026-05-18T03:16:30.517857+00:00"},{"alias_kind":"pith_short_12","alias_value":"NH7WTCM52K6D","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"NH7WTCM52K6DQPZY","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"NH7WTCM5","created_at":"2026-05-18T12:25:52.687210+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/NH7WTCM52K6DQPZYTT4QLVSI3R","json":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R.json","graph_json":"https://pith.science/api/pith-number/NH7WTCM52K6DQPZYTT4QLVSI3R/graph.json","events_json":"https://pith.science/api/pith-number/NH7WTCM52K6DQPZYTT4QLVSI3R/events.json","paper":"https://pith.science/paper/NH7WTCM5"},"agent_actions":{"view_html":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R","download_json":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R.json","view_paper":"https://pith.science/paper/NH7WTCM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0406043&json=true","fetch_graph":"https://pith.science/api/pith-number/NH7WTCM52K6DQPZYTT4QLVSI3R/graph.json","fetch_events":"https://pith.science/api/pith-number/NH7WTCM52K6DQPZYTT4QLVSI3R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R/action/storage_attestation","attest_author":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R/action/author_attestation","sign_citation":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R/action/citation_signature","submit_replication":"https://pith.science/pith/NH7WTCM52K6DQPZYTT4QLVSI3R/action/replication_record"}},"created_at":"2026-05-18T03:16:30.517857+00:00","updated_at":"2026-05-18T03:16:30.517857+00:00"}