{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:YN2G5MPRC5OON4EMSTDSFSSBNZ","short_pith_number":"pith:YN2G5MPR","canonical_record":{"source":{"id":"2112.04062","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-06T10:04:28Z","cross_cats_sorted":["cs.NA","nlin.SI","physics.comp-ph"],"title_canon_sha256":"41fa3da3477fa66a5b2c20468a5c5e8501ae623d711556942caa011a4b828803","abstract_canon_sha256":"b5dcc93c69f0f5bf22ca98ad199a7963596884e88712ca67e5a6b0f06e932108"},"schema_version":"1.0"},"canonical_sha256":"c3746eb1f1175ce6f08c94c722ca416e45992f0081a082e59bd5e61a128b20d7","source":{"kind":"arxiv","id":"2112.04062","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.04062","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"2112.04062v2","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.04062","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"YN2G5MPRC5OO","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"pith_short_16","alias_value":"YN2G5MPRC5OON4EM","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"pith_short_8","alias_value":"YN2G5MPR","created_at":"2026-07-05T03:44:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:YN2G5MPRC5OON4EMSTDSFSSBNZ","target":"record","payload":{"canonical_record":{"source":{"id":"2112.04062","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-06T10:04:28Z","cross_cats_sorted":["cs.NA","nlin.SI","physics.comp-ph"],"title_canon_sha256":"41fa3da3477fa66a5b2c20468a5c5e8501ae623d711556942caa011a4b828803","abstract_canon_sha256":"b5dcc93c69f0f5bf22ca98ad199a7963596884e88712ca67e5a6b0f06e932108"},"schema_version":"1.0"},"canonical_sha256":"c3746eb1f1175ce6f08c94c722ca416e45992f0081a082e59bd5e61a128b20d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:44:15.202922Z","signature_b64":"DMeqNexo6V+gJ+QEvwXEM2sVWNl19L2URc9+z4MCOoxqEfq452cfFJ2DKKSeCy/FjmWVI8r6Z5Y4FP3lcl9LAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3746eb1f1175ce6f08c94c722ca416e45992f0081a082e59bd5e61a128b20d7","last_reissued_at":"2026-07-05T03:44:15.202333Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:44:15.202333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.04062","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":"2026-07-05T03:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SoapDhHOfP+y0GkshCZ8lz/9CKcqawXqFO3g8Caha7Ndi9LtYivwzb+0AzZkes4epcT1DBNdA56FQ/UBYyBbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:36:27.653480Z"},"content_sha256":"a64e613e80284928e0101ccd53db06ba589e4983805f0b411221bc00bd439fd9","schema_version":"1.0","event_id":"sha256:a64e613e80284928e0101ccd53db06ba589e4983805f0b411221bc00bd439fd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:YN2G5MPRC5OON4EMSTDSFSSBNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-driven forward-inverse problems for Yajima-Oikawa system using deep learning with parameter regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","nlin.SI","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Juncai Pu, Yong Chen","submitted_at":"2021-12-06T10:04:28Z","abstract_excerpt":"We investigate data-driven forward-inverse problems for Yajima-Oikawa (YO) system by employing two technologies which improve the performance of neural network in deep physics-informed neural network (PINN), namely neuron-wise locally adaptive activation functions and $L^2$ norm parameter regularization. Indeed, we not only recover three different forms of vector rogue waves (RWs) by means of three distinct initial-boundary value conditions in the forward problem of YO system, including bright-bright RWs, intermediate-bright RWs and dark-bright RWs, but also study the inverse problem of YO sys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.04062","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.04062/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FX8al928PqoUSSWaQ+hBm2yVnKr0mPVIAheS3N1YfrViWdYWB4FuYIY8q4QFMahFh2THuaP6V0agH4brVk3uBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:36:27.653981Z"},"content_sha256":"f5028d2f6fef77233a9363e0b971caeccaab011e6615f51122708941e16f0bd0","schema_version":"1.0","event_id":"sha256:f5028d2f6fef77233a9363e0b971caeccaab011e6615f51122708941e16f0bd0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ/bundle.json","state_url":"https://pith.science/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ/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":"2026-08-04T16:36:27Z","links":{"resolver":"https://pith.science/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ","bundle":"https://pith.science/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ/bundle.json","state":"https://pith.science/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YN2G5MPRC5OON4EMSTDSFSSBNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YN2G5MPRC5OON4EMSTDSFSSBNZ","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":"b5dcc93c69f0f5bf22ca98ad199a7963596884e88712ca67e5a6b0f06e932108","cross_cats_sorted":["cs.NA","nlin.SI","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-06T10:04:28Z","title_canon_sha256":"41fa3da3477fa66a5b2c20468a5c5e8501ae623d711556942caa011a4b828803"},"schema_version":"1.0","source":{"id":"2112.04062","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.04062","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"2112.04062v2","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.04062","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"YN2G5MPRC5OO","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"pith_short_16","alias_value":"YN2G5MPRC5OON4EM","created_at":"2026-07-05T03:44:15Z"},{"alias_kind":"pith_short_8","alias_value":"YN2G5MPR","created_at":"2026-07-05T03:44:15Z"}],"graph_snapshots":[{"event_id":"sha256:f5028d2f6fef77233a9363e0b971caeccaab011e6615f51122708941e16f0bd0","target":"graph","created_at":"2026-07-05T03:44:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.04062/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate data-driven forward-inverse problems for Yajima-Oikawa (YO) system by employing two technologies which improve the performance of neural network in deep physics-informed neural network (PINN), namely neuron-wise locally adaptive activation functions and $L^2$ norm parameter regularization. Indeed, we not only recover three different forms of vector rogue waves (RWs) by means of three distinct initial-boundary value conditions in the forward problem of YO system, including bright-bright RWs, intermediate-bright RWs and dark-bright RWs, but also study the inverse problem of YO sys","authors_text":"Juncai Pu, Yong Chen","cross_cats":["cs.NA","nlin.SI","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-06T10:04:28Z","title":"Data-driven forward-inverse problems for Yajima-Oikawa system using deep learning with parameter regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.04062","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:a64e613e80284928e0101ccd53db06ba589e4983805f0b411221bc00bd439fd9","target":"record","created_at":"2026-07-05T03:44:15Z","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":"b5dcc93c69f0f5bf22ca98ad199a7963596884e88712ca67e5a6b0f06e932108","cross_cats_sorted":["cs.NA","nlin.SI","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-12-06T10:04:28Z","title_canon_sha256":"41fa3da3477fa66a5b2c20468a5c5e8501ae623d711556942caa011a4b828803"},"schema_version":"1.0","source":{"id":"2112.04062","kind":"arxiv","version":2}},"canonical_sha256":"c3746eb1f1175ce6f08c94c722ca416e45992f0081a082e59bd5e61a128b20d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3746eb1f1175ce6f08c94c722ca416e45992f0081a082e59bd5e61a128b20d7","first_computed_at":"2026-07-05T03:44:15.202333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:44:15.202333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DMeqNexo6V+gJ+QEvwXEM2sVWNl19L2URc9+z4MCOoxqEfq452cfFJ2DKKSeCy/FjmWVI8r6Z5Y4FP3lcl9LAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:44:15.202922Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.04062","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a64e613e80284928e0101ccd53db06ba589e4983805f0b411221bc00bd439fd9","sha256:f5028d2f6fef77233a9363e0b971caeccaab011e6615f51122708941e16f0bd0"],"state_sha256":"5618e4e79d865b2ca70727abd04d823f6c1b1ceb67311d1edec15e50f1816bbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iwP9JbvVQg7GPQQ88pkoKXyxVcLDkhXqpU3avNnIciqtRAmY2D3cXKpOEpSOXu0imjM1I9HmmiRzYmD6MyR9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T16:36:27.659314Z","bundle_sha256":"d87cfe66161083d9cbcfe9a60cf8b6a6a902e41e4276f82add1fa172532e0cc3"}}