{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EP22MMCGWCQRQQBTWBJPD5GNHR","short_pith_number":"pith:EP22MMCG","canonical_record":{"source":{"id":"1802.10154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-02-27T20:32:47Z","cross_cats_sorted":[],"title_canon_sha256":"4af82365eb7a025822dd5c3435a9c934bcbce395b40cc5404e708cc707768bef","abstract_canon_sha256":"a993ea147705c33aa696f0a1db244c213453047471df73a2ced84d0ec5fed3a8"},"schema_version":"1.0"},"canonical_sha256":"23f5a63046b0a1184033b052f1f4cd3c5e8f1f34656fd34ed9b96801eb931c88","source":{"kind":"arxiv","id":"1802.10154","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.10154","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.10154v1","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10154","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"EP22MMCGWCQR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EP22MMCGWCQRQQBT","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EP22MMCG","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EP22MMCGWCQRQQBTWBJPD5GNHR","target":"record","payload":{"canonical_record":{"source":{"id":"1802.10154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-02-27T20:32:47Z","cross_cats_sorted":[],"title_canon_sha256":"4af82365eb7a025822dd5c3435a9c934bcbce395b40cc5404e708cc707768bef","abstract_canon_sha256":"a993ea147705c33aa696f0a1db244c213453047471df73a2ced84d0ec5fed3a8"},"schema_version":"1.0"},"canonical_sha256":"23f5a63046b0a1184033b052f1f4cd3c5e8f1f34656fd34ed9b96801eb931c88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:17.615145Z","signature_b64":"I04yKztU77QvFKoObuiqLGbCgeh2ofN6qh6kCBANdqMw/0u92JB3zw9hUmeq4NA9fz9iaJ5ylfK//LK63eNvCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23f5a63046b0a1184033b052f1f4cd3c5e8f1f34656fd34ed9b96801eb931c88","last_reissued_at":"2026-05-17T23:59:17.614695Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:17.614695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.10154","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"92SvKRKNSsuSDCv84t6zHpdoPmLKpEYFzl9qmsPLYYpMsyt9w1abg+xUEAqyWmwMZePyRfDHrN5ETfexB0/DCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:15:01.412933Z"},"content_sha256":"fa63fca78bce492bdc0b9b751497e1531d66d5980d6fef852efabe8c960cca2b","schema_version":"1.0","event_id":"sha256:fa63fca78bce492bdc0b9b751497e1531d66d5980d6fef852efabe8c960cca2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EP22MMCGWCQRQQBTWBJPD5GNHR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrable Dispersive Chains and Their Multi-Phase Solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Maxim V. Pavlov, Michal Marvan","submitted_at":"2018-02-27T20:32:47Z","abstract_excerpt":"In this paper we construct multi-phase solutions for integrable dispersive chains associated with the three-dimensional linearly degenerate Mikhalev system of first order. These solutions are parameterized by infinitely many arbitrary parameters. As byproduct we describe multi-phase solutions for finite component dispersive reductions of these integrable dispersive chains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10154","kind":"arxiv","version":1},"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":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jsYUhcUzKhedYlgT1XLL7esFhTWCi4jKSrrCfGujKczyqU1uetAFFQVDBpisx8MAyxj7/QkWvMGiHKj+MTpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:15:01.413612Z"},"content_sha256":"263661815bddaafb92efc5c16eaff644ba8799b8eda071ca7f9ac34c88c59814","schema_version":"1.0","event_id":"sha256:263661815bddaafb92efc5c16eaff644ba8799b8eda071ca7f9ac34c88c59814"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EP22MMCGWCQRQQBTWBJPD5GNHR/bundle.json","state_url":"https://pith.science/pith/EP22MMCGWCQRQQBTWBJPD5GNHR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EP22MMCGWCQRQQBTWBJPD5GNHR/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":"2026-05-27T12:15:01Z","links":{"resolver":"https://pith.science/pith/EP22MMCGWCQRQQBTWBJPD5GNHR","bundle":"https://pith.science/pith/EP22MMCGWCQRQQBTWBJPD5GNHR/bundle.json","state":"https://pith.science/pith/EP22MMCGWCQRQQBTWBJPD5GNHR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EP22MMCGWCQRQQBTWBJPD5GNHR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EP22MMCGWCQRQQBTWBJPD5GNHR","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":"a993ea147705c33aa696f0a1db244c213453047471df73a2ced84d0ec5fed3a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-02-27T20:32:47Z","title_canon_sha256":"4af82365eb7a025822dd5c3435a9c934bcbce395b40cc5404e708cc707768bef"},"schema_version":"1.0","source":{"id":"1802.10154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.10154","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.10154v1","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10154","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"EP22MMCGWCQR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EP22MMCGWCQRQQBT","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EP22MMCG","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:263661815bddaafb92efc5c16eaff644ba8799b8eda071ca7f9ac34c88c59814","target":"graph","created_at":"2026-05-17T23:59:17Z","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":"In this paper we construct multi-phase solutions for integrable dispersive chains associated with the three-dimensional linearly degenerate Mikhalev system of first order. These solutions are parameterized by infinitely many arbitrary parameters. As byproduct we describe multi-phase solutions for finite component dispersive reductions of these integrable dispersive chains.","authors_text":"Maxim V. Pavlov, Michal Marvan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-02-27T20:32:47Z","title":"Integrable Dispersive Chains and Their Multi-Phase Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10154","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:fa63fca78bce492bdc0b9b751497e1531d66d5980d6fef852efabe8c960cca2b","target":"record","created_at":"2026-05-17T23:59:17Z","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":"a993ea147705c33aa696f0a1db244c213453047471df73a2ced84d0ec5fed3a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-02-27T20:32:47Z","title_canon_sha256":"4af82365eb7a025822dd5c3435a9c934bcbce395b40cc5404e708cc707768bef"},"schema_version":"1.0","source":{"id":"1802.10154","kind":"arxiv","version":1}},"canonical_sha256":"23f5a63046b0a1184033b052f1f4cd3c5e8f1f34656fd34ed9b96801eb931c88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23f5a63046b0a1184033b052f1f4cd3c5e8f1f34656fd34ed9b96801eb931c88","first_computed_at":"2026-05-17T23:59:17.614695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:17.614695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I04yKztU77QvFKoObuiqLGbCgeh2ofN6qh6kCBANdqMw/0u92JB3zw9hUmeq4NA9fz9iaJ5ylfK//LK63eNvCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:17.615145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.10154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa63fca78bce492bdc0b9b751497e1531d66d5980d6fef852efabe8c960cca2b","sha256:263661815bddaafb92efc5c16eaff644ba8799b8eda071ca7f9ac34c88c59814"],"state_sha256":"d500e1543207e31cbb439c2622f133e6d8d617458ea5c84500080447d107e9dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PaWbkXRos1tKs0vd4XrhqSck2CMUqEQy9gIlgMxjeDhKSXnq0R0mj9eWNbHHEkT68E/1Y4a+1YzAAZcBfD8TBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T12:15:01.417218Z","bundle_sha256":"945868201ce31a6f3541df4fa16a2f3d28e93283f96924f988fa206804fe5c45"}}