{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Y3KXCHETJVGDVMD7FXZGEMAMRQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0af15070079bc7bf562492372bacfd79cff16b99c0a614d0dadb695ee78c242f","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-16T14:57:21Z","title_canon_sha256":"84ce9b3254b48ae450fb2bbcc95d459fe3ae270e528a55be97be593407a844c2"},"schema_version":"1.0","source":{"id":"1205.3694","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3694","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3694v2","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3694","created_at":"2026-05-18T03:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"Y3KXCHETJVGD","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y3KXCHETJVGDVMD7","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y3KXCHET","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:60d130411892c7112d7354a5cf4ee5c62a45c07cccc2eb31eb39f9fb26bcc5a1","target":"graph","created_at":"2026-05-18T03:55:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study dynamical systems using measures taking values in a non-Archimedean field. The underlying space for such measure is a zero-dimensional topological space. In this paper we elaborate on the natural translation of several notions, e.g., probability measures, isomorphic transformations, entropy, from classical dynamical systems to a non-Archimedean setting.","authors_text":"Janne Kool","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-16T14:57:21Z","title":"Dynamics measured in a non-Archimedean field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3694","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8c79ea7f77e4ac58751f384d25fe55c6350436b17ca043aee5a18f6a04071542","target":"record","created_at":"2026-05-18T03:55:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0af15070079bc7bf562492372bacfd79cff16b99c0a614d0dadb695ee78c242f","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-16T14:57:21Z","title_canon_sha256":"84ce9b3254b48ae450fb2bbcc95d459fe3ae270e528a55be97be593407a844c2"},"schema_version":"1.0","source":{"id":"1205.3694","kind":"arxiv","version":2}},"canonical_sha256":"c6d5711c934d4c3ab07f2df262300c8c0690526dde522461fb019e975cb40786","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6d5711c934d4c3ab07f2df262300c8c0690526dde522461fb019e975cb40786","first_computed_at":"2026-05-18T03:55:24.426548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:24.426548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dVtZ762QvoF+350eUm57DZpwdudc+IselnQQ+aeRK00UlOC/lCDEouUNjCET8CJCDQrLFd6O1rlX9LGJ8+oADw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:24.427218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3694","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c79ea7f77e4ac58751f384d25fe55c6350436b17ca043aee5a18f6a04071542","sha256:60d130411892c7112d7354a5cf4ee5c62a45c07cccc2eb31eb39f9fb26bcc5a1"],"state_sha256":"70745dc2ea0667c3701200221546b966048e35dd85de6ad5898953cfb16af158"}