{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ATJJOMZ6QZMZR3BVYDPSK5GQ6F","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":"f46c2b6b29af43b95a9d3389ad2d60ed76b05af9ae7ac3ec8dacad0b15cbe44d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-03T00:58:49Z","title_canon_sha256":"c851223d9839bb5c6be49ce51899538347a26ca1312f79ec2abd549504d7079b"},"schema_version":"1.0","source":{"id":"1609.00776","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00776","created_at":"2026-05-18T01:06:19Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00776v1","created_at":"2026-05-18T01:06:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00776","created_at":"2026-05-18T01:06:19Z"},{"alias_kind":"pith_short_12","alias_value":"ATJJOMZ6QZMZ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ATJJOMZ6QZMZR3BV","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ATJJOMZ6","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:971e7e236d569ebbf9204214c3c70ed24b8d06707f00fe9a6ebb2e3aebe304ab","target":"graph","created_at":"2026-05-18T01:06:19Z","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 a family of PDEs, which was derived as an approximation of an extended Lotka-Volterra system, from the point of view of symmetries. Also, by performing the self adjoint classification on that family we offer special cases possessing non trivial conservation laws. Using both classifications we justify the particular cases studied in the literature, and we give additional cases that may be of importance.","authors_text":"Igor Leite Freire, Stylianos Dimas","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-03T00:58:49Z","title":"Study of a fifth order PDE using symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00776","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":"sha256:779a4dabc5c3d94aca4f9ecddfca027642897547a00dcde9e6cf5afbf13b256f","target":"record","created_at":"2026-05-18T01:06:19Z","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":"f46c2b6b29af43b95a9d3389ad2d60ed76b05af9ae7ac3ec8dacad0b15cbe44d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-03T00:58:49Z","title_canon_sha256":"c851223d9839bb5c6be49ce51899538347a26ca1312f79ec2abd549504d7079b"},"schema_version":"1.0","source":{"id":"1609.00776","kind":"arxiv","version":1}},"canonical_sha256":"04d297333e865998ec35c0df2574d0f141a36099310e397ef1b92105fcb3ae17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04d297333e865998ec35c0df2574d0f141a36099310e397ef1b92105fcb3ae17","first_computed_at":"2026-05-18T01:06:19.976200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:19.976200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0tzov4ANNp6peOihRXwEZzLNLHboGSUo4VYBOpZ5XCMY9y+VXO1ife6RvVQern4+wczqkFL+SPSg5XIy6p2SBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:19.976892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.00776","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:779a4dabc5c3d94aca4f9ecddfca027642897547a00dcde9e6cf5afbf13b256f","sha256:971e7e236d569ebbf9204214c3c70ed24b8d06707f00fe9a6ebb2e3aebe304ab"],"state_sha256":"5643b220fb1f858bbbad524d870b91aa5edd31d656593209b87a84ece0bb6671"}