{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ORPXHXCKRRFHQ2A6W53GGQCZLK","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":"1d276481662833c7a7967ed37f7716edcf4eca01a11d661b23c82de6ed2cf511","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-12-18T00:06:32Z","title_canon_sha256":"bf724fc5e49ea10012a03611a2b245b965ff6e323a8030e3904c455e8674b3bb"},"schema_version":"1.0","source":{"id":"1412.5686","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5686","created_at":"2026-05-18T02:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5686v1","created_at":"2026-05-18T02:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5686","created_at":"2026-05-18T02:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"ORPXHXCKRRFH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"ORPXHXCKRRFHQ2A6","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"ORPXHXCK","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:58b2633f3fcd455a21cd8c045cae79eb02f81db463c21a740e2d187a55c9e31e","target":"graph","created_at":"2026-05-18T02:16:20Z","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 present a novel way to apply the singularity confinement property as a discrete integrability criterion. We shall use what we call a full deautonomisation approach, which consists in treating the free parameters in the mapping as functions of the independent variable, applied to a mapping complemented with terms that are absent in the original mapping but which do not change the singularity structure. We shall show, on a host of examples including the well-known mapping of Hietarinta-Viallet, that our approach offers a way to compute the algebraic entropy for these mappings exactly, thereby","authors_text":"Alfred Ramani, Basil Grammaticos, Masataka Kanki, Ralph Willox, Takafumi Mase","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-12-18T00:06:32Z","title":"The redemption of singularity confinement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5686","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:f8bc15ee0d8c0abcc51b5ece20e2d83a92755896089daa038515084196751ddc","target":"record","created_at":"2026-05-18T02:16:20Z","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":"1d276481662833c7a7967ed37f7716edcf4eca01a11d661b23c82de6ed2cf511","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-12-18T00:06:32Z","title_canon_sha256":"bf724fc5e49ea10012a03611a2b245b965ff6e323a8030e3904c455e8674b3bb"},"schema_version":"1.0","source":{"id":"1412.5686","kind":"arxiv","version":1}},"canonical_sha256":"745f73dc4a8c4a78681eb7766340595ab6782f87897757d99d927898001f82f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"745f73dc4a8c4a78681eb7766340595ab6782f87897757d99d927898001f82f7","first_computed_at":"2026-05-18T02:16:20.465259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:20.465259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QIUZn55pyH2R2iqaKCDBerI/g22WDeehP/WRV9EYYNBc4W/Z64Rkww99f+ru0q5UT4toCpI4QbHOlerY/68tBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:20.465864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5686","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8bc15ee0d8c0abcc51b5ece20e2d83a92755896089daa038515084196751ddc","sha256:58b2633f3fcd455a21cd8c045cae79eb02f81db463c21a740e2d187a55c9e31e"],"state_sha256":"64d028bcb1a532779969396c1b2bda2bd43666045d37e4478f8b558ec323a7d2"}