{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:K3XPXAHFLWFWCTEPTC2VJ5EFDR","short_pith_number":"pith:K3XPXAHF","schema_version":"1.0","canonical_sha256":"56eefb80e55d8b614c8f98b554f4851c4c9d66f5bc54ecacfbe5f7ed391ba8ea","source":{"kind":"arxiv","id":"2606.23618","version":1},"attestation_state":"computed","paper":{"title":"Nonarchimedean groups and the axiom of choice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.LO","authors_text":"Jindrich Zapletal, Justin Young","submitted_at":"2026-06-22T17:14:59Z","abstract_excerpt":"We prove several novel connections between properties of nonarchimedean groups and fragments of the axiom of choice which hold in their associated permutation model."},"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":"2606.23618","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2026-06-22T17:14:59Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"04df0265e776a92d7de0c1d54a8014c769a7c18e78ddd5e1d718efc169903fea","abstract_canon_sha256":"9384be8caf51235090b70de335428582ae4f0eed87d4eed9f020e74e511e0d6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:14:32.404295Z","signature_b64":"6C99A1j8v4IVuI5XQkv2kXhzPvcjvHq8VJngZNzLzg+g5NPxKur8UnzYbbn14unyPLQrdZ8ZAyaAsbSo8rZrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56eefb80e55d8b614c8f98b554f4851c4c9d66f5bc54ecacfbe5f7ed391ba8ea","last_reissued_at":"2026-06-23T03:14:32.403940Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:14:32.403940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonarchimedean groups and the axiom of choice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.LO","authors_text":"Jindrich Zapletal, Justin Young","submitted_at":"2026-06-22T17:14:59Z","abstract_excerpt":"We prove several novel connections between properties of nonarchimedean groups and fragments of the axiom of choice which hold in their associated permutation model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23618","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/2606.23618/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":"2606.23618","created_at":"2026-06-23T03:14:32.404006+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.23618v1","created_at":"2026-06-23T03:14:32.404006+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23618","created_at":"2026-06-23T03:14:32.404006+00:00"},{"alias_kind":"pith_short_12","alias_value":"K3XPXAHFLWFW","created_at":"2026-06-23T03:14:32.404006+00:00"},{"alias_kind":"pith_short_16","alias_value":"K3XPXAHFLWFWCTEP","created_at":"2026-06-23T03:14:32.404006+00:00"},{"alias_kind":"pith_short_8","alias_value":"K3XPXAHF","created_at":"2026-06-23T03:14:32.404006+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/K3XPXAHFLWFWCTEPTC2VJ5EFDR","json":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR.json","graph_json":"https://pith.science/api/pith-number/K3XPXAHFLWFWCTEPTC2VJ5EFDR/graph.json","events_json":"https://pith.science/api/pith-number/K3XPXAHFLWFWCTEPTC2VJ5EFDR/events.json","paper":"https://pith.science/paper/K3XPXAHF"},"agent_actions":{"view_html":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR","download_json":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR.json","view_paper":"https://pith.science/paper/K3XPXAHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.23618&json=true","fetch_graph":"https://pith.science/api/pith-number/K3XPXAHFLWFWCTEPTC2VJ5EFDR/graph.json","fetch_events":"https://pith.science/api/pith-number/K3XPXAHFLWFWCTEPTC2VJ5EFDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR/action/storage_attestation","attest_author":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR/action/author_attestation","sign_citation":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR/action/citation_signature","submit_replication":"https://pith.science/pith/K3XPXAHFLWFWCTEPTC2VJ5EFDR/action/replication_record"}},"created_at":"2026-06-23T03:14:32.404006+00:00","updated_at":"2026-06-23T03:14:32.404006+00:00"}