{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ARDXWNAXID4VJQ67QYDDWAOV7J","short_pith_number":"pith:ARDXWNAX","schema_version":"1.0","canonical_sha256":"04477b341740f954c3df86063b01d5fa48b418b763b5f16a9f25ca9e3b8bd0b9","source":{"kind":"arxiv","id":"1106.4423","version":1},"attestation_state":"computed","paper":{"title":"On a construction of A. Lucchini","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Colin D. Reid","submitted_at":"2011-06-22T11:45:40Z","abstract_excerpt":"We show that the group constructed in the 2004 paper 'A 2-generated just-infinite profinite group which is not positively finitely generated' by A. Lucchini is in fact hereditarily just infinite and contains every countably based profinite group as a closed subgroup. Lucchini's paper predates some related work of J. Wilson."},"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":"1106.4423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-06-22T11:45:40Z","cross_cats_sorted":[],"title_canon_sha256":"ff526e5672ac4c2d49f9ba08c9d3e0375c0b9531df6e6abea07775caff5a6ff3","abstract_canon_sha256":"124f69097b20388b55b4c010b6029f3582eb5bc9859c317a486fd1d504cf9682"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:32.995019Z","signature_b64":"M67OfkOQvBYqsRy/Xx1v8/DMnhWwsXvhYnn2KKKDfXDwhFyONY+8qvVeb84tfyF9kKO2jF9nOrEgyhFu6EXJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04477b341740f954c3df86063b01d5fa48b418b763b5f16a9f25ca9e3b8bd0b9","last_reissued_at":"2026-05-18T04:19:32.994629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:32.994629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a construction of A. Lucchini","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Colin D. Reid","submitted_at":"2011-06-22T11:45:40Z","abstract_excerpt":"We show that the group constructed in the 2004 paper 'A 2-generated just-infinite profinite group which is not positively finitely generated' by A. Lucchini is in fact hereditarily just infinite and contains every countably based profinite group as a closed subgroup. Lucchini's paper predates some related work of J. Wilson."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4423","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":"1106.4423","created_at":"2026-05-18T04:19:32.994697+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.4423v1","created_at":"2026-05-18T04:19:32.994697+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4423","created_at":"2026-05-18T04:19:32.994697+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARDXWNAXID4V","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARDXWNAXID4VJQ67","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARDXWNAX","created_at":"2026-05-18T12:26:24.575870+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/ARDXWNAXID4VJQ67QYDDWAOV7J","json":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J.json","graph_json":"https://pith.science/api/pith-number/ARDXWNAXID4VJQ67QYDDWAOV7J/graph.json","events_json":"https://pith.science/api/pith-number/ARDXWNAXID4VJQ67QYDDWAOV7J/events.json","paper":"https://pith.science/paper/ARDXWNAX"},"agent_actions":{"view_html":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J","download_json":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J.json","view_paper":"https://pith.science/paper/ARDXWNAX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.4423&json=true","fetch_graph":"https://pith.science/api/pith-number/ARDXWNAXID4VJQ67QYDDWAOV7J/graph.json","fetch_events":"https://pith.science/api/pith-number/ARDXWNAXID4VJQ67QYDDWAOV7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J/action/storage_attestation","attest_author":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J/action/author_attestation","sign_citation":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J/action/citation_signature","submit_replication":"https://pith.science/pith/ARDXWNAXID4VJQ67QYDDWAOV7J/action/replication_record"}},"created_at":"2026-05-18T04:19:32.994697+00:00","updated_at":"2026-05-18T04:19:32.994697+00:00"}