{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:2MZURY7OH6OVSY547REJVFMN3F","short_pith_number":"pith:2MZURY7O","canonical_record":{"source":{"id":"0707.0647","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-07-04T15:50:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"05f448e0703e640d91fc3059367260c212ba9a8f4881c34b00be1e8d4cab7d9e","abstract_canon_sha256":"9c490d6572749ca0618ca6191a9f73c415fcce6bffc3b5552051ea3b342c5c1c"},"schema_version":"1.0"},"canonical_sha256":"d33348e3ee3f9d5963bcfc489a958dd94fa786fbbfe71740256c6210463b99b6","source":{"kind":"arxiv","id":"0707.0647","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0647","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0647v1","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0647","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"2MZURY7OH6OV","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"2MZURY7OH6OVSY54","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"2MZURY7O","created_at":"2026-07-04T17:04:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:2MZURY7OH6OVSY547REJVFMN3F","target":"record","payload":{"canonical_record":{"source":{"id":"0707.0647","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-07-04T15:50:07Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"05f448e0703e640d91fc3059367260c212ba9a8f4881c34b00be1e8d4cab7d9e","abstract_canon_sha256":"9c490d6572749ca0618ca6191a9f73c415fcce6bffc3b5552051ea3b342c5c1c"},"schema_version":"1.0"},"canonical_sha256":"d33348e3ee3f9d5963bcfc489a958dd94fa786fbbfe71740256c6210463b99b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:04:33.566618Z","signature_b64":"TiPc+1mDXlkH03d/gZ7ON7jWppHM25JsvX0OKFB2tdDol7hq0ZLoZkUfvqBDN4U8FSNhQgUw7p4+wcxdQt90Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d33348e3ee3f9d5963bcfc489a958dd94fa786fbbfe71740256c6210463b99b6","last_reissued_at":"2026-07-04T17:04:33.566226Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:04:33.566226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.0647","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":"2026-07-04T17:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wiwk9veXBodB7WNEQxGOl4+9Fr6D3jRxVmNe+Ar/kA+szd2HxrZUfvGov1lboJ4vp5x24rnXS1sW4ND4oqGkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T19:11:56.542596Z"},"content_sha256":"a6d0f25eaad19b771afdd0e5089c6af58245b8c7d9b6e065b9df68eda1ab7ec0","schema_version":"1.0","event_id":"sha256:a6d0f25eaad19b771afdd0e5089c6af58245b8c7d9b6e065b9df68eda1ab7ec0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:2MZURY7OH6OVSY547REJVFMN3F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Bo Tian, Hai-Qiang Zhang, Juan Li, Tao Xu, Ya-Xing Zhang","submitted_at":"2007-07-04T15:50:07Z","abstract_excerpt":"The modified Kadomtsev-Petviashvili (mKP) equation is shown in this paper to be decomposable into the first two soliton equations of the 2N-coupled Chen-Lee-Liu and Kaup-Newell hierarchies by respectively nonlinearizing two sets of symmetry Lax pairs. In these two cases, the decomposed (1+1)-dimensional nonlinear systems both have a couple of different Lax representations, which means that there are two linear systems associated with the mKP equation under the same constraint between the potential and eigenfunctions. For each Lax representation of the decomposed (1+1)-dimensional nonlinear sys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0647","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0707.0647/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":"2026-07-04T17:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fi0Io68pDV3U1QtUc0mTa/9kP9uvH+UNAn/IniKQkn9kjDI7jyhA73mBDQEIwmGU588dBL+Nscm0bnGGpMgMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T19:11:56.543530Z"},"content_sha256":"3c084efb4e6465ad3797e3999504280032644b167a13be8f735d90bafb1f9356","schema_version":"1.0","event_id":"sha256:3c084efb4e6465ad3797e3999504280032644b167a13be8f735d90bafb1f9356"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MZURY7OH6OVSY547REJVFMN3F/bundle.json","state_url":"https://pith.science/pith/2MZURY7OH6OVSY547REJVFMN3F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MZURY7OH6OVSY547REJVFMN3F/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":"2026-08-10T19:11:56Z","links":{"resolver":"https://pith.science/pith/2MZURY7OH6OVSY547REJVFMN3F","bundle":"https://pith.science/pith/2MZURY7OH6OVSY547REJVFMN3F/bundle.json","state":"https://pith.science/pith/2MZURY7OH6OVSY547REJVFMN3F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MZURY7OH6OVSY547REJVFMN3F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:2MZURY7OH6OVSY547REJVFMN3F","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":"9c490d6572749ca0618ca6191a9f73c415fcce6bffc3b5552051ea3b342c5c1c","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2007-07-04T15:50:07Z","title_canon_sha256":"05f448e0703e640d91fc3059367260c212ba9a8f4881c34b00be1e8d4cab7d9e"},"schema_version":"1.0","source":{"id":"0707.0647","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0647","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0647v1","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0647","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"2MZURY7OH6OV","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"2MZURY7OH6OVSY54","created_at":"2026-07-04T17:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"2MZURY7O","created_at":"2026-07-04T17:04:33Z"}],"graph_snapshots":[{"event_id":"sha256:3c084efb4e6465ad3797e3999504280032644b167a13be8f735d90bafb1f9356","target":"graph","created_at":"2026-07-04T17:04:33Z","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/0707.0647/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The modified Kadomtsev-Petviashvili (mKP) equation is shown in this paper to be decomposable into the first two soliton equations of the 2N-coupled Chen-Lee-Liu and Kaup-Newell hierarchies by respectively nonlinearizing two sets of symmetry Lax pairs. In these two cases, the decomposed (1+1)-dimensional nonlinear systems both have a couple of different Lax representations, which means that there are two linear systems associated with the mKP equation under the same constraint between the potential and eigenfunctions. For each Lax representation of the decomposed (1+1)-dimensional nonlinear sys","authors_text":"Bo Tian, Hai-Qiang Zhang, Juan Li, Tao Xu, Ya-Xing Zhang","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2007-07-04T15:50:07Z","title":"Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0647","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:a6d0f25eaad19b771afdd0e5089c6af58245b8c7d9b6e065b9df68eda1ab7ec0","target":"record","created_at":"2026-07-04T17:04:33Z","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":"9c490d6572749ca0618ca6191a9f73c415fcce6bffc3b5552051ea3b342c5c1c","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2007-07-04T15:50:07Z","title_canon_sha256":"05f448e0703e640d91fc3059367260c212ba9a8f4881c34b00be1e8d4cab7d9e"},"schema_version":"1.0","source":{"id":"0707.0647","kind":"arxiv","version":1}},"canonical_sha256":"d33348e3ee3f9d5963bcfc489a958dd94fa786fbbfe71740256c6210463b99b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d33348e3ee3f9d5963bcfc489a958dd94fa786fbbfe71740256c6210463b99b6","first_computed_at":"2026-07-04T17:04:33.566226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:04:33.566226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TiPc+1mDXlkH03d/gZ7ON7jWppHM25JsvX0OKFB2tdDol7hq0ZLoZkUfvqBDN4U8FSNhQgUw7p4+wcxdQt90Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:04:33.566618Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.0647","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6d0f25eaad19b771afdd0e5089c6af58245b8c7d9b6e065b9df68eda1ab7ec0","sha256:3c084efb4e6465ad3797e3999504280032644b167a13be8f735d90bafb1f9356"],"state_sha256":"1f8aa9d42cffe71af732de7ac673a7670aabf9e6c14834980fe62e2c6a1e4e2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u4+IZkBIm7vDksz9V/DFBsfk/MhmykRfDiXWVITNSjXGQ7+Z018gB3zu3MAYu7x6ZLJnzTpkL8VzDi+UPOkkBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T19:11:56.549573Z","bundle_sha256":"22e4d704306a7efe5157f5c704eaa125a7bf74535eb60b1acf7b59f77fba9c60"}}