{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:YHQVELVWTYPFZRA4NBZ357MWAG","short_pith_number":"pith:YHQVELVW","canonical_record":{"source":{"id":"1008.4851","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-28T09:13:43Z","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"title_canon_sha256":"3bee03bf9bb7e1af033809653ae96d1cef60ab36d1b35560a72eb54c545c5c2d","abstract_canon_sha256":"61ccd345b18009b98359bb884b7749a9c8531f3aa28088bbfa727d713088c9a8"},"schema_version":"1.0"},"canonical_sha256":"c1e1522eb69e1e5cc41c6873befd960185defb2485784a5a9317f6008b1c1c9e","source":{"kind":"arxiv","id":"1008.4851","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4851","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4851v2","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4851","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"YHQVELVWTYPF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YHQVELVWTYPFZRA4","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YHQVELVW","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:YHQVELVWTYPFZRA4NBZ357MWAG","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4851","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-28T09:13:43Z","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"title_canon_sha256":"3bee03bf9bb7e1af033809653ae96d1cef60ab36d1b35560a72eb54c545c5c2d","abstract_canon_sha256":"61ccd345b18009b98359bb884b7749a9c8531f3aa28088bbfa727d713088c9a8"},"schema_version":"1.0"},"canonical_sha256":"c1e1522eb69e1e5cc41c6873befd960185defb2485784a5a9317f6008b1c1c9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:41.823917Z","signature_b64":"Zy5Jd7kSTNleH85kqvoF/w1OwH79l3j/A0RFq4in2f4HokIcbKCsdxumYg1JJr6Vt3J6rKFiTLVpLBvu6rrSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1e1522eb69e1e5cc41c6873befd960185defb2485784a5a9317f6008b1c1c9e","last_reissued_at":"2026-05-18T04:07:41.823417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:41.823417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4851","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V2TH97G0X0Vgf94twkDYIgT4+0f/AUuPUoQipqN2YHx2PxQs3Vn2ruG0WZLVXUYPn2QooFiFMGqyp3FCvrv/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:50:52.964511Z"},"content_sha256":"be976c5941d1ecc44a2749819801de736849ac4da975935c9dfde8c1d86b8fff","schema_version":"1.0","event_id":"sha256:be976c5941d1ecc44a2749819801de736849ac4da975935c9dfde8c1d86b8fff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:YHQVELVWTYPFZRA4NBZ357MWAG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simplest potential conservation laws of linear evolution equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Roman O. Popovych, Vyacheslav M. Boyko","submitted_at":"2010-08-28T09:13:43Z","abstract_excerpt":"Every simplest potential conservation law of any (1+1)-dimensional linear evolution equation of even order proves induced by a local conservation law of the same equation. This claim is true also for linear simplest potential conservation laws of (1+1)-dimensional linear evolution equations of odd order, which are related to linear potential systems. We also derive an effective criterion for checking whether a quadratic conservation law of a simplest linear potential system is a purely potential conservation law of a (1+1)-dimensional linear evolution equation of odd order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4851","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DsChxOUXiEUc+Oab1FDPvxUHm/Psb0+PH14JnBeUWsJcYzLJ9D9YXHGZuz5lPMN3B7WaHYVCPXGVJqyeUz1EDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:50:52.965142Z"},"content_sha256":"4d621dba1fb0935adf9c1f0eb1829b832c260387ae79d016f022c9ec931c36e6","schema_version":"1.0","event_id":"sha256:4d621dba1fb0935adf9c1f0eb1829b832c260387ae79d016f022c9ec931c36e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YHQVELVWTYPFZRA4NBZ357MWAG/bundle.json","state_url":"https://pith.science/pith/YHQVELVWTYPFZRA4NBZ357MWAG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YHQVELVWTYPFZRA4NBZ357MWAG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T11:50:52Z","links":{"resolver":"https://pith.science/pith/YHQVELVWTYPFZRA4NBZ357MWAG","bundle":"https://pith.science/pith/YHQVELVWTYPFZRA4NBZ357MWAG/bundle.json","state":"https://pith.science/pith/YHQVELVWTYPFZRA4NBZ357MWAG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YHQVELVWTYPFZRA4NBZ357MWAG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YHQVELVWTYPFZRA4NBZ357MWAG","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":"61ccd345b18009b98359bb884b7749a9c8531f3aa28088bbfa727d713088c9a8","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-28T09:13:43Z","title_canon_sha256":"3bee03bf9bb7e1af033809653ae96d1cef60ab36d1b35560a72eb54c545c5c2d"},"schema_version":"1.0","source":{"id":"1008.4851","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4851","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4851v2","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4851","created_at":"2026-05-18T04:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"YHQVELVWTYPF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YHQVELVWTYPFZRA4","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YHQVELVW","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:4d621dba1fb0935adf9c1f0eb1829b832c260387ae79d016f022c9ec931c36e6","target":"graph","created_at":"2026-05-18T04:07:41Z","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":"Every simplest potential conservation law of any (1+1)-dimensional linear evolution equation of even order proves induced by a local conservation law of the same equation. This claim is true also for linear simplest potential conservation laws of (1+1)-dimensional linear evolution equations of odd order, which are related to linear potential systems. We also derive an effective criterion for checking whether a quadratic conservation law of a simplest linear potential system is a purely potential conservation law of a (1+1)-dimensional linear evolution equation of odd order.","authors_text":"Roman O. Popovych, Vyacheslav M. Boyko","cross_cats":["math.AP","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-28T09:13:43Z","title":"Simplest potential conservation laws of linear evolution equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4851","kind":"arxiv","version":2},"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:be976c5941d1ecc44a2749819801de736849ac4da975935c9dfde8c1d86b8fff","target":"record","created_at":"2026-05-18T04:07:41Z","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":"61ccd345b18009b98359bb884b7749a9c8531f3aa28088bbfa727d713088c9a8","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-28T09:13:43Z","title_canon_sha256":"3bee03bf9bb7e1af033809653ae96d1cef60ab36d1b35560a72eb54c545c5c2d"},"schema_version":"1.0","source":{"id":"1008.4851","kind":"arxiv","version":2}},"canonical_sha256":"c1e1522eb69e1e5cc41c6873befd960185defb2485784a5a9317f6008b1c1c9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1e1522eb69e1e5cc41c6873befd960185defb2485784a5a9317f6008b1c1c9e","first_computed_at":"2026-05-18T04:07:41.823417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:41.823417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zy5Jd7kSTNleH85kqvoF/w1OwH79l3j/A0RFq4in2f4HokIcbKCsdxumYg1JJr6Vt3J6rKFiTLVpLBvu6rrSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:41.823917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4851","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be976c5941d1ecc44a2749819801de736849ac4da975935c9dfde8c1d86b8fff","sha256:4d621dba1fb0935adf9c1f0eb1829b832c260387ae79d016f022c9ec931c36e6"],"state_sha256":"4e201e9047c5f5f647972d131f413e38208d8dd39a6ae969c3a7ec8b13d5790a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CU5QxxUWv0t1hJwcyRBQ1diIlsv6V2QwZDjrl5uOXd8kSk8w6F1UHSNYS6dT7hvFlDDPiMr6Sdg3RAuLE7bRAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:50:52.968285Z","bundle_sha256":"dd422f9e52c09cbe15779a9b7232b0d4ec9320ae0e4d13ce6d3846e1a3e78f80"}}