{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6QURZ4CB43LXRYFDRAA44CJS2H","short_pith_number":"pith:6QURZ4CB","schema_version":"1.0","canonical_sha256":"f4291cf041e6d778e0a38801ce0932d1d49a0ad03da46e93755e2d70f455e5be","source":{"kind":"arxiv","id":"2505.19649","version":1},"attestation_state":"computed","paper":{"title":"A just-infinite iterated monodromy group without the congruence subgroup property","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Santiago Radi","submitted_at":"2025-05-26T08:06:22Z","abstract_excerpt":"We prove that the iterated monodromy group of the polynomial $z^2+i$ is just-infinite, regular branch and does not have the congruence subgroup property. This yields the first example of an iterated monodromy group of a polynomial with these properties. Additional information is provided about the congruence kernel, rigid kernel and branch kernel of this group."},"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":"2505.19649","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2025-05-26T08:06:22Z","cross_cats_sorted":[],"title_canon_sha256":"1213b245cec8f10d06b2e51fbbff0cc448e1f083a2c4fdc37ec617d1a6caa333","abstract_canon_sha256":"772e24c01b9aafa368c88ff2e6947eb033384dd11e6688fc2b8824f79c5fd241"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:33.987154Z","signature_b64":"q6dBimlyYGhKz9PUhZBL51UcDuATicq7EaV0bBGsZ9j6HcI12iHa6R31gTkcYEbnKeIg/SVveXTCaxk/jWPEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4291cf041e6d778e0a38801ce0932d1d49a0ad03da46e93755e2d70f455e5be","last_reissued_at":"2026-07-05T11:09:33.986747Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:33.986747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A just-infinite iterated monodromy group without the congruence subgroup property","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Santiago Radi","submitted_at":"2025-05-26T08:06:22Z","abstract_excerpt":"We prove that the iterated monodromy group of the polynomial $z^2+i$ is just-infinite, regular branch and does not have the congruence subgroup property. This yields the first example of an iterated monodromy group of a polynomial with these properties. Additional information is provided about the congruence kernel, rigid kernel and branch kernel of this group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.19649","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.19649/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2505.19649","created_at":"2026-07-05T11:09:33.986800+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.19649v1","created_at":"2026-07-05T11:09:33.986800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.19649","created_at":"2026-07-05T11:09:33.986800+00:00"},{"alias_kind":"pith_short_12","alias_value":"6QURZ4CB43LX","created_at":"2026-07-05T11:09:33.986800+00:00"},{"alias_kind":"pith_short_16","alias_value":"6QURZ4CB43LXRYFD","created_at":"2026-07-05T11:09:33.986800+00:00"},{"alias_kind":"pith_short_8","alias_value":"6QURZ4CB","created_at":"2026-07-05T11:09:33.986800+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.03927","citing_title":"Groups of finite type: classification and structural properties","ref_index":42,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H","json":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H.json","graph_json":"https://pith.science/api/pith-number/6QURZ4CB43LXRYFDRAA44CJS2H/graph.json","events_json":"https://pith.science/api/pith-number/6QURZ4CB43LXRYFDRAA44CJS2H/events.json","paper":"https://pith.science/paper/6QURZ4CB"},"agent_actions":{"view_html":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H","download_json":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H.json","view_paper":"https://pith.science/paper/6QURZ4CB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.19649&json=true","fetch_graph":"https://pith.science/api/pith-number/6QURZ4CB43LXRYFDRAA44CJS2H/graph.json","fetch_events":"https://pith.science/api/pith-number/6QURZ4CB43LXRYFDRAA44CJS2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H/action/storage_attestation","attest_author":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H/action/author_attestation","sign_citation":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H/action/citation_signature","submit_replication":"https://pith.science/pith/6QURZ4CB43LXRYFDRAA44CJS2H/action/replication_record"}},"created_at":"2026-07-05T11:09:33.986800+00:00","updated_at":"2026-07-05T11:09:33.986800+00:00"}