{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GEVQE6TVH2SNB6NB2MNKYRG7SH","short_pith_number":"pith:GEVQE6TV","schema_version":"1.0","canonical_sha256":"312b027a753ea4d0f9a1d31aac44df91c000a056c9258c82c32b1a2f45a8ccf7","source":{"kind":"arxiv","id":"1709.00603","version":3},"attestation_state":"computed","paper":{"title":"A note on Weyl groups and crystallographic root lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Barbara Baumeister, Patrick Wegener","submitted_at":"2017-09-02T16:53:50Z","abstract_excerpt":"We follow the dual approach to Coxeter systems and show for Weyl groups a criterium which decides whether a set of reflections is generating the group depending on the root and the coroot lattice. Further we study special generating sets involving a parabolic subgroup and show that they are very tame."},"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":"1709.00603","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-09-02T16:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"0fd971de23ee630181fff2970394981c7d0d8ec573728ec6afeaa9fa75a3c4c9","abstract_canon_sha256":"99d7f7da6277ef3692a94c71674da9bb16a2506518386fabc9381a020f756b4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:31.755371Z","signature_b64":"huULp6uEvAwlQuQ63ghwTAzJDBQxbXl1os8+DaIR/Z3RtBNSPdJkKDR1AU70TgmBCY06gQgLgWHxRheu2RY5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"312b027a753ea4d0f9a1d31aac44df91c000a056c9258c82c32b1a2f45a8ccf7","last_reissued_at":"2026-05-17T23:47:31.754921Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:31.754921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on Weyl groups and crystallographic root lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Barbara Baumeister, Patrick Wegener","submitted_at":"2017-09-02T16:53:50Z","abstract_excerpt":"We follow the dual approach to Coxeter systems and show for Weyl groups a criterium which decides whether a set of reflections is generating the group depending on the root and the coroot lattice. Further we study special generating sets involving a parabolic subgroup and show that they are very tame."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00603","kind":"arxiv","version":3},"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":"1709.00603","created_at":"2026-05-17T23:47:31.754988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.00603v3","created_at":"2026-05-17T23:47:31.754988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00603","created_at":"2026-05-17T23:47:31.754988+00:00"},{"alias_kind":"pith_short_12","alias_value":"GEVQE6TVH2SN","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"GEVQE6TVH2SNB6NB","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"GEVQE6TV","created_at":"2026-05-18T12:31:15.632608+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/GEVQE6TVH2SNB6NB2MNKYRG7SH","json":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH.json","graph_json":"https://pith.science/api/pith-number/GEVQE6TVH2SNB6NB2MNKYRG7SH/graph.json","events_json":"https://pith.science/api/pith-number/GEVQE6TVH2SNB6NB2MNKYRG7SH/events.json","paper":"https://pith.science/paper/GEVQE6TV"},"agent_actions":{"view_html":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH","download_json":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH.json","view_paper":"https://pith.science/paper/GEVQE6TV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.00603&json=true","fetch_graph":"https://pith.science/api/pith-number/GEVQE6TVH2SNB6NB2MNKYRG7SH/graph.json","fetch_events":"https://pith.science/api/pith-number/GEVQE6TVH2SNB6NB2MNKYRG7SH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH/action/storage_attestation","attest_author":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH/action/author_attestation","sign_citation":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH/action/citation_signature","submit_replication":"https://pith.science/pith/GEVQE6TVH2SNB6NB2MNKYRG7SH/action/replication_record"}},"created_at":"2026-05-17T23:47:31.754988+00:00","updated_at":"2026-05-17T23:47:31.754988+00:00"}