{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:S72OTMJH4LISPNXPMJ3TKWPJU6","short_pith_number":"pith:S72OTMJH","schema_version":"1.0","canonical_sha256":"97f4e9b127e2d127b6ef62773559e9a795fbb7addd9953ef3ab77fc20e2327f6","source":{"kind":"arxiv","id":"1406.2554","version":1},"attestation_state":"computed","paper":{"title":"On transfinite nilpotence of the Vogel-Levine localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Roman Mikhailov","submitted_at":"2014-06-10T13:48:23Z","abstract_excerpt":"We construct a finitely-presented group such that its Vogel-Levine localization is not transfinitely nilpotent. This answers a problem of J. P. Levine."},"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":"1406.2554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-06-10T13:48:23Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"612ed32256fccdb44ab8f961ae62b210034089b942110c8e8a9d6830eb1bc33c","abstract_canon_sha256":"b6c332d1090dc1d1ebba26a1d7f3336a2db877c97e099ce1224fac9b8cefd2d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:01.443783Z","signature_b64":"MIcG3fPL3wTXOQ8JseUZCpz3PMqWiGtu3rjr9shfBYACm6EGAFY1zr3fZy0k7afOasnXuwFYBGXUw8Z6X2znCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97f4e9b127e2d127b6ef62773559e9a795fbb7addd9953ef3ab77fc20e2327f6","last_reissued_at":"2026-05-18T02:50:01.443305Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:01.443305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On transfinite nilpotence of the Vogel-Levine localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Roman Mikhailov","submitted_at":"2014-06-10T13:48:23Z","abstract_excerpt":"We construct a finitely-presented group such that its Vogel-Levine localization is not transfinitely nilpotent. This answers a problem of J. P. Levine."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2554","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":"1406.2554","created_at":"2026-05-18T02:50:01.443378+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2554v1","created_at":"2026-05-18T02:50:01.443378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2554","created_at":"2026-05-18T02:50:01.443378+00:00"},{"alias_kind":"pith_short_12","alias_value":"S72OTMJH4LIS","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"S72OTMJH4LISPNXP","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"S72OTMJH","created_at":"2026-05-18T12:28:49.207871+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/S72OTMJH4LISPNXPMJ3TKWPJU6","json":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6.json","graph_json":"https://pith.science/api/pith-number/S72OTMJH4LISPNXPMJ3TKWPJU6/graph.json","events_json":"https://pith.science/api/pith-number/S72OTMJH4LISPNXPMJ3TKWPJU6/events.json","paper":"https://pith.science/paper/S72OTMJH"},"agent_actions":{"view_html":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6","download_json":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6.json","view_paper":"https://pith.science/paper/S72OTMJH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2554&json=true","fetch_graph":"https://pith.science/api/pith-number/S72OTMJH4LISPNXPMJ3TKWPJU6/graph.json","fetch_events":"https://pith.science/api/pith-number/S72OTMJH4LISPNXPMJ3TKWPJU6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6/action/storage_attestation","attest_author":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6/action/author_attestation","sign_citation":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6/action/citation_signature","submit_replication":"https://pith.science/pith/S72OTMJH4LISPNXPMJ3TKWPJU6/action/replication_record"}},"created_at":"2026-05-18T02:50:01.443378+00:00","updated_at":"2026-05-18T02:50:01.443378+00:00"}