{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LAGDNHGAOJ33E7464LDODXAKKA","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":"de41a56a812c0f3b44a36b558b74279b0674aecde70142d4d7ed56635be3adec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-11-30T19:02:12Z","title_canon_sha256":"cdf01f56b4b60b1718e4fececf0fe4fedb455484fa21631c67847c1f044691f4"},"schema_version":"1.0","source":{"id":"1511.09430","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09430","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09430v3","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09430","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"LAGDNHGAOJ33","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LAGDNHGAOJ33E746","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LAGDNHGA","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:fecca79a355fe44bcf79672936150da2e444eaf3007ea5751e9840fdaa39c101","target":"graph","created_at":"2026-05-18T00:34:10Z","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 construct an infinite hierarchy of nonlocal conservation laws for the $ABC$ equation $A u_t\\,u_{xy}+B u_x\\,u_{ty}+C u_y\\,u_{tx} = 0$, where $A,B,C$ are constants and $A+B+C\\neq 0$, using a nonisospectral Lax pair. As a byproduct, we present new coverings for the ABC equation. The method of proof of nontriviality of the conservation laws under study is quite general and can be applied to many other integrable multidimensional systems.","authors_text":"A. Sergyeyev, I.S. Krasil'shchik, O.I. Morozov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-11-30T19:02:12Z","title":"Infinitely many nonlocal conservation laws for the $ABC$ equation with $A+B+C\\neq 0$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09430","kind":"arxiv","version":3},"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":"sha256:10371f77abd29615ecbec9f36e9adfaec872f955253711c40c913da4d7b2b7d9","target":"record","created_at":"2026-05-18T00:34:10Z","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":"de41a56a812c0f3b44a36b558b74279b0674aecde70142d4d7ed56635be3adec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-11-30T19:02:12Z","title_canon_sha256":"cdf01f56b4b60b1718e4fececf0fe4fedb455484fa21631c67847c1f044691f4"},"schema_version":"1.0","source":{"id":"1511.09430","kind":"arxiv","version":3}},"canonical_sha256":"580c369cc07277b27f9ee2c6e1dc0a5007b0d0e8a952a309220904294451f280","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"580c369cc07277b27f9ee2c6e1dc0a5007b0d0e8a952a309220904294451f280","first_computed_at":"2026-05-18T00:34:10.556248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:10.556248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BmH9ul7NPDI42f3I7d1RZ+0hYe6c8QoGiBse/L+5olkq/E+vbGfeONYi3tij+tgKZSlKHLYsPi11Sh16qEX6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:10.556909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.09430","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10371f77abd29615ecbec9f36e9adfaec872f955253711c40c913da4d7b2b7d9","sha256:fecca79a355fe44bcf79672936150da2e444eaf3007ea5751e9840fdaa39c101"],"state_sha256":"253f4748dafaf2c2c6ec884a73c962fe501043b03272f8f34a6cacc62100a0f2"}