{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2JT7PFWLN6SEEPJ4YEKH2TSN6B","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":"1f973c3f47963d66a044f975e1e58d9486d1038e051a2bb64da0382c5feb5c85","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-25T09:52:35Z","title_canon_sha256":"1931fd9657114f8068ac4b701a89c373a88ec8c388f713ce4e913515ea38ce34"},"schema_version":"1.0","source":{"id":"1107.4877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4877","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4877v1","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4877","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"2JT7PFWLN6SE","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2JT7PFWLN6SEEPJ4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2JT7PFWL","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:3961e97abd87561c02709ca876110c5ec588890a1ceeea98fabcefd748f1b227","target":"graph","created_at":"2026-05-18T02:01:10Z","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":"The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the strict self-adjointness and quasi self-adjointness introduced earlier by the author. It is shown that the equations possessing the nonlinear self-adjointness can be written equivalently in a strictly self-adjoint form by using appropriate multipliers. All linear equations possess the property of nonlinear self-adjointness, and hence can be rewritten in a nonlinear strictly self-adjoint. For example, the heat equation ","authors_text":"Nail H. Ibragimov","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-25T09:52:35Z","title":"Nonlinear self-adjointness and conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4877","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":"sha256:718e0f358ad9beacad66a050e0e73b3e99fd7a92ce4f58dad736c5cec9ed71f5","target":"record","created_at":"2026-05-18T02:01:10Z","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":"1f973c3f47963d66a044f975e1e58d9486d1038e051a2bb64da0382c5feb5c85","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-25T09:52:35Z","title_canon_sha256":"1931fd9657114f8068ac4b701a89c373a88ec8c388f713ce4e913515ea38ce34"},"schema_version":"1.0","source":{"id":"1107.4877","kind":"arxiv","version":1}},"canonical_sha256":"d267f796cb6fa4423d3cc1147d4e4df052ad5d6a55afa6e8fe8b27f0caa393f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d267f796cb6fa4423d3cc1147d4e4df052ad5d6a55afa6e8fe8b27f0caa393f1","first_computed_at":"2026-05-18T02:01:10.704120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:10.704120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yITje2x9YZTO1cbufUtPPCfOzFuDXGsPvEq6IoJ7V0fhn28wy1vqsqLDQi1+LsvzeaewG+eM4WQ+p+s6rzAJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:10.705046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:718e0f358ad9beacad66a050e0e73b3e99fd7a92ce4f58dad736c5cec9ed71f5","sha256:3961e97abd87561c02709ca876110c5ec588890a1ceeea98fabcefd748f1b227"],"state_sha256":"167e56d5465dabf74c096a622b8958ba4cfe63839ea43991472ed3b3aad0df2f"}