{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:53EDMOLTYWEGMT5MUBQZ7Z6TOB","short_pith_number":"pith:53EDMOLT","schema_version":"1.0","canonical_sha256":"eec8363973c588664faca0619fe7d370499bf90163a456319969ac60ad5092ff","source":{"kind":"arxiv","id":"1302.0658","version":1},"attestation_state":"computed","paper":{"title":"Sigma theory for Bredon modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Conchita Mart\\'inez-P\\'erez, Dessislava H. Kochloukova","submitted_at":"2013-02-04T11:55:45Z","abstract_excerpt":"We develop new invariants similar to the Bieri-Strebel-Neumann-Renz invariants but in the category of Bredon modules (with respect to the class of the finite subgroups of G). We prove that for virtually soluble groups of type FP_{\\infty} and finite extension of the Thompson group F the new invariants coincide with the classical ones."},"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":"1302.0658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-02-04T11:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"28767360514218cc28266e908525802640634f55209afaef98876e5aec9797ed","abstract_canon_sha256":"0090b34db3398e83a55873e936f81d8f7ff506d5724562f79be77cac17c7c0d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:36.634910Z","signature_b64":"H3vg+6YC51PAzUT23ePTj2JzXAN9kvdXt8lkj5WRjfHBOv8Vfo3LQnArrqWnuJruM0OovVrj1rGMPErMlBHzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eec8363973c588664faca0619fe7d370499bf90163a456319969ac60ad5092ff","last_reissued_at":"2026-05-18T03:34:36.634380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:36.634380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sigma theory for Bredon modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Conchita Mart\\'inez-P\\'erez, Dessislava H. Kochloukova","submitted_at":"2013-02-04T11:55:45Z","abstract_excerpt":"We develop new invariants similar to the Bieri-Strebel-Neumann-Renz invariants but in the category of Bredon modules (with respect to the class of the finite subgroups of G). We prove that for virtually soluble groups of type FP_{\\infty} and finite extension of the Thompson group F the new invariants coincide with the classical ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0658","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":"1302.0658","created_at":"2026-05-18T03:34:36.634465+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.0658v1","created_at":"2026-05-18T03:34:36.634465+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0658","created_at":"2026-05-18T03:34:36.634465+00:00"},{"alias_kind":"pith_short_12","alias_value":"53EDMOLTYWEG","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"53EDMOLTYWEGMT5M","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"53EDMOLT","created_at":"2026-05-18T12:27:34.582898+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/53EDMOLTYWEGMT5MUBQZ7Z6TOB","json":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB.json","graph_json":"https://pith.science/api/pith-number/53EDMOLTYWEGMT5MUBQZ7Z6TOB/graph.json","events_json":"https://pith.science/api/pith-number/53EDMOLTYWEGMT5MUBQZ7Z6TOB/events.json","paper":"https://pith.science/paper/53EDMOLT"},"agent_actions":{"view_html":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB","download_json":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB.json","view_paper":"https://pith.science/paper/53EDMOLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.0658&json=true","fetch_graph":"https://pith.science/api/pith-number/53EDMOLTYWEGMT5MUBQZ7Z6TOB/graph.json","fetch_events":"https://pith.science/api/pith-number/53EDMOLTYWEGMT5MUBQZ7Z6TOB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB/action/storage_attestation","attest_author":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB/action/author_attestation","sign_citation":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB/action/citation_signature","submit_replication":"https://pith.science/pith/53EDMOLTYWEGMT5MUBQZ7Z6TOB/action/replication_record"}},"created_at":"2026-05-18T03:34:36.634465+00:00","updated_at":"2026-05-18T03:34:36.634465+00:00"}