{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HHBJ6ID76DDHICDEQIZLTMOLFI","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":"2f0ec7d4d58c05d255936d42f449bfe4fea4a8f1ec7d8d3add00348e8cf4d19a","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-02-14T04:24:32Z","title_canon_sha256":"a9d8ac5f974a56c3aded0fe5c3bf2d18025b3b95da3c0d968146f9c70f392dd7"},"schema_version":"1.0","source":{"id":"0802.1959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.1959","created_at":"2026-05-18T03:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"0802.1959v2","created_at":"2026-05-18T03:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.1959","created_at":"2026-05-18T03:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"HHBJ6ID76DDH","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HHBJ6ID76DDHICDE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HHBJ6ID7","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:8613773dee42d9988ed725ce0d777701d683e6f29f3dd5fc72f3086cca67bbb2","target":"graph","created_at":"2026-05-18T03:35:02Z","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":"Using the interpretation of the ultradiscretization procedure as a non-Archimedean valuation, we use results of tropical geometry to show how roots and poles manifest themselves in piece-wise linear systems as points of non-differentiability. This will allow us to demonstrate a correspondence between singularity confinement for discrete integrable systems and ultradiscrete singularity confinement for ultradiscrete integrable systems.","authors_text":"Christopher M. Ormerod","cross_cats":["math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-02-14T04:24:32Z","title":"Tropical geometric interpretation of ultradiscrete singularity confinement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.1959","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":"sha256:6314eaf08103269afd8ee4d88900ab7d71f6c120e3c70f3fdcc9cb6f1d67a66e","target":"record","created_at":"2026-05-18T03:35:02Z","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":"2f0ec7d4d58c05d255936d42f449bfe4fea4a8f1ec7d8d3add00348e8cf4d19a","cross_cats_sorted":["math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-02-14T04:24:32Z","title_canon_sha256":"a9d8ac5f974a56c3aded0fe5c3bf2d18025b3b95da3c0d968146f9c70f392dd7"},"schema_version":"1.0","source":{"id":"0802.1959","kind":"arxiv","version":2}},"canonical_sha256":"39c29f207ff0c67408648232b9b1cb2a1b7360238b325bc80cd1b0331c4b9d49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39c29f207ff0c67408648232b9b1cb2a1b7360238b325bc80cd1b0331c4b9d49","first_computed_at":"2026-05-18T03:35:02.640043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:02.640043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0tjeSsxwCep7uekGkWIbyfO3pes5F7De7GxA1cQGLMGRmndtLYpsVps1Pkl035k1KHpdYZCxIDo7fHI3UjLgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:02.640844Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.1959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6314eaf08103269afd8ee4d88900ab7d71f6c120e3c70f3fdcc9cb6f1d67a66e","sha256:8613773dee42d9988ed725ce0d777701d683e6f29f3dd5fc72f3086cca67bbb2"],"state_sha256":"99ec49bd947aac637f11b77010f632f8d8f37f340b909056eb1c7a6ec8dd4587"}