{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:SKLCQHIREM5LWCTBB4ZBB53UIW","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":"b6653d20b72e4ced3e8c9a8e585877e3d1ec70980b1b7d14b1186972f30bdc65","cross_cats_sorted":["nlin.CG"],"license":"","primary_cat":"nlin.SI","submitted_at":"2006-09-13T18:40:27Z","title_canon_sha256":"724a7411ad3e71c9364c72d7dd41a0785f8d2093206d879eb0e04b71275a214f"},"schema_version":"1.0","source":{"id":"nlin/0609034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0609034","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0609034v1","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0609034","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"SKLCQHIREM5L","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"SKLCQHIREM5LWCTB","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"SKLCQHIR","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:47f52b74a7d20342b001093462e6829f790cc7dad571c0862b9d452c487c4509","target":"graph","created_at":"2026-05-18T01:38:17Z","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":"The `ultra-discrete limit' has provided a link between integrable difference equations and cellular automata displaying soliton like solutions. In particular, this procedure generally turns strictly positive solutions of algebraic difference equations with positive coefficients into corresponding solutions to equations involving the \"Max\" operator. Although it certainly is the case that dropping these positivity conditions creates potential difficulties, it is still possible for solutions to persist under the ultra-discrete limit even in their absence. To recognize when this will occur, one mu","authors_text":"Alex Kasman, Stephane Lafortune","cross_cats":["nlin.CG"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2006-09-13T18:40:27Z","title":"When is negativity not a problem for the ultra-discrete limit?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0609034","kind":"arxiv","version":1},"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":"sha256:5010e590a96e32e3a2b1add617dddc225cd4f96cd999c688ecd0c985472e1b63","target":"record","created_at":"2026-05-18T01:38:17Z","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":"b6653d20b72e4ced3e8c9a8e585877e3d1ec70980b1b7d14b1186972f30bdc65","cross_cats_sorted":["nlin.CG"],"license":"","primary_cat":"nlin.SI","submitted_at":"2006-09-13T18:40:27Z","title_canon_sha256":"724a7411ad3e71c9364c72d7dd41a0785f8d2093206d879eb0e04b71275a214f"},"schema_version":"1.0","source":{"id":"nlin/0609034","kind":"arxiv","version":1}},"canonical_sha256":"9296281d11233abb0a610f3210f77445bef8633b372558d5a6f315286281e8d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9296281d11233abb0a610f3210f77445bef8633b372558d5a6f315286281e8d0","first_computed_at":"2026-05-18T01:38:17.850909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:17.850909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LrRkwVaaOAfTSJvc+dNBiXYGIKjYm4dcdiXEYeAxSE4/3clJMHKD8F9IHh2sh7lEvFCS2cf2xO3pGftvBqk9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:17.851554Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0609034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5010e590a96e32e3a2b1add617dddc225cd4f96cd999c688ecd0c985472e1b63","sha256:47f52b74a7d20342b001093462e6829f790cc7dad571c0862b9d452c487c4509"],"state_sha256":"b6f16e04a7b3ef21e3a0e2bfd8563c0c1e3a43d3fa91eaa8a7b4c64bfd56d52a"}