{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QUVROYSVLC6YIZJLHELWLJWSHK","short_pith_number":"pith:QUVROYSV","canonical_record":{"source":{"id":"1707.03015","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-07-10T18:47:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"567439516db92fc0fe500d6d5fa2287308ea81427e434fec13eb8f9de76affc8","abstract_canon_sha256":"bc634315eeb5fa58390d1fa5dba5d0a373d14984a1ed71dd4e191a6d64b34aee"},"schema_version":"1.0"},"canonical_sha256":"852b17625558bd84652b391765a6d23a819361ac472a268e74ffa330f0a701f0","source":{"kind":"arxiv","id":"1707.03015","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03015","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03015v4","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03015","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"QUVROYSVLC6Y","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUVROYSVLC6YIZJL","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUVROYSV","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QUVROYSVLC6YIZJLHELWLJWSHK","target":"record","payload":{"canonical_record":{"source":{"id":"1707.03015","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-07-10T18:47:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"567439516db92fc0fe500d6d5fa2287308ea81427e434fec13eb8f9de76affc8","abstract_canon_sha256":"bc634315eeb5fa58390d1fa5dba5d0a373d14984a1ed71dd4e191a6d64b34aee"},"schema_version":"1.0"},"canonical_sha256":"852b17625558bd84652b391765a6d23a819361ac472a268e74ffa330f0a701f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:01.523726Z","signature_b64":"NucEYSIlTPJ/CbMwCiNE2Q9pkI54xrmIgJZhBR6YFrJv9uzjAM6kbzSNuuFPAw5V+BhW4iqCCx2AguML1C3hCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"852b17625558bd84652b391765a6d23a819361ac472a268e74ffa330f0a701f0","last_reissued_at":"2026-05-18T00:30:01.523110Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:01.523110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.03015","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s/MO0aOwHwcrKKeZi4v9O03Ax/YSbeDaAaqLzkopQFdSM6sTQQNdQdoFKnRDcSK37DUDLgOF59qdfH2Q8AXUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:34:22.169389Z"},"content_sha256":"d9dd017e97767228a42b549f00b27afff1f44d55f0e89f11cfd9f1dc1faf9374","schema_version":"1.0","event_id":"sha256:d9dd017e97767228a42b549f00b27afff1f44d55f0e89f11cfd9f1dc1faf9374"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QUVROYSVLC6YIZJLHELWLJWSHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The structure of rationally factorized Lax type flows and their analytical integrability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"M. Vovk, O. Hentosh, P. Pukach, Y.A. Prykarpatsky","submitted_at":"2017-07-10T18:47:54Z","abstract_excerpt":"The work is devoted to constructing a wide class of differential-functional dynamical systems, whose rich algebraic structure makes their integrability analytically effective. In particular, there is analyzed in detail the operator Lax type equations for factorized seed elements, there is proved an important theorem about their operator factorization and the related analytical solution scheme to the corresponding nonlinear differential-functional dynamical systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03015","kind":"arxiv","version":4},"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":"2026-05-18T00:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wtXRJ1Pt+vNvPJOZnwFoqRHcywERN8oSuFpeWayWQL5buKgnK48oN5kompEcPH6mIPfArBTEltm+luNNnXKJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:34:22.169749Z"},"content_sha256":"064201bcea26663c323d6a6c7df3dfcc4439f0fa766ea7eab30c89bce855e240","schema_version":"1.0","event_id":"sha256:064201bcea26663c323d6a6c7df3dfcc4439f0fa766ea7eab30c89bce855e240"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QUVROYSVLC6YIZJLHELWLJWSHK/bundle.json","state_url":"https://pith.science/pith/QUVROYSVLC6YIZJLHELWLJWSHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QUVROYSVLC6YIZJLHELWLJWSHK/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":"2026-06-23T18:34:22Z","links":{"resolver":"https://pith.science/pith/QUVROYSVLC6YIZJLHELWLJWSHK","bundle":"https://pith.science/pith/QUVROYSVLC6YIZJLHELWLJWSHK/bundle.json","state":"https://pith.science/pith/QUVROYSVLC6YIZJLHELWLJWSHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QUVROYSVLC6YIZJLHELWLJWSHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QUVROYSVLC6YIZJLHELWLJWSHK","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":"bc634315eeb5fa58390d1fa5dba5d0a373d14984a1ed71dd4e191a6d64b34aee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-07-10T18:47:54Z","title_canon_sha256":"567439516db92fc0fe500d6d5fa2287308ea81427e434fec13eb8f9de76affc8"},"schema_version":"1.0","source":{"id":"1707.03015","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03015","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03015v4","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03015","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"QUVROYSVLC6Y","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUVROYSVLC6YIZJL","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUVROYSV","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:064201bcea26663c323d6a6c7df3dfcc4439f0fa766ea7eab30c89bce855e240","target":"graph","created_at":"2026-05-18T00:30:01Z","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 work is devoted to constructing a wide class of differential-functional dynamical systems, whose rich algebraic structure makes their integrability analytically effective. In particular, there is analyzed in detail the operator Lax type equations for factorized seed elements, there is proved an important theorem about their operator factorization and the related analytical solution scheme to the corresponding nonlinear differential-functional dynamical systems.","authors_text":"M. Vovk, O. Hentosh, P. Pukach, Y.A. Prykarpatsky","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-07-10T18:47:54Z","title":"The structure of rationally factorized Lax type flows and their analytical integrability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03015","kind":"arxiv","version":4},"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:d9dd017e97767228a42b549f00b27afff1f44d55f0e89f11cfd9f1dc1faf9374","target":"record","created_at":"2026-05-18T00:30:01Z","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":"bc634315eeb5fa58390d1fa5dba5d0a373d14984a1ed71dd4e191a6d64b34aee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-07-10T18:47:54Z","title_canon_sha256":"567439516db92fc0fe500d6d5fa2287308ea81427e434fec13eb8f9de76affc8"},"schema_version":"1.0","source":{"id":"1707.03015","kind":"arxiv","version":4}},"canonical_sha256":"852b17625558bd84652b391765a6d23a819361ac472a268e74ffa330f0a701f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"852b17625558bd84652b391765a6d23a819361ac472a268e74ffa330f0a701f0","first_computed_at":"2026-05-18T00:30:01.523110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:01.523110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NucEYSIlTPJ/CbMwCiNE2Q9pkI54xrmIgJZhBR6YFrJv9uzjAM6kbzSNuuFPAw5V+BhW4iqCCx2AguML1C3hCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:01.523726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03015","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9dd017e97767228a42b549f00b27afff1f44d55f0e89f11cfd9f1dc1faf9374","sha256:064201bcea26663c323d6a6c7df3dfcc4439f0fa766ea7eab30c89bce855e240"],"state_sha256":"b4509322ba55c345866dc1622b8cb6058e9dd9dbbba6d1f5b634334d0818e693"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"st5eIPN/QDLcik+ClRXQNUoeK/j86D6YpvozxVsqikkszI/X3qwSZY31sglKRQJSzsTO4zAN/K5zTKFrENUYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:34:22.171729Z","bundle_sha256":"d3fb49d4bd87457bdf52d316dca9d817a60aaf201116eb86eee9af4f85e23488"}}