{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:74CHTSOTZUQSFQ7YKVPGICJRWV","short_pith_number":"pith:74CHTSOT","canonical_record":{"source":{"id":"1810.06962","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-10-16T12:51:37Z","cross_cats_sorted":[],"title_canon_sha256":"d0870e57b0e278c11a8e2adf3c2262babb92b619e1fc2923357456f5d4b72bd9","abstract_canon_sha256":"7f794f01d70d65489499ecf88ddc06b5c196e32a2cb867d248ff640e36f99c8e"},"schema_version":"1.0"},"canonical_sha256":"ff0479c9d3cd2122c3f8555e640931b577e42ef1cdcf2dae824c47497f7821a4","source":{"kind":"arxiv","id":"1810.06962","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06962","created_at":"2026-05-18T00:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06962v1","created_at":"2026-05-18T00:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06962","created_at":"2026-05-18T00:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"74CHTSOTZUQS","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"74CHTSOTZUQSFQ7Y","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"74CHTSOT","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:74CHTSOTZUQSFQ7YKVPGICJRWV","target":"record","payload":{"canonical_record":{"source":{"id":"1810.06962","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-10-16T12:51:37Z","cross_cats_sorted":[],"title_canon_sha256":"d0870e57b0e278c11a8e2adf3c2262babb92b619e1fc2923357456f5d4b72bd9","abstract_canon_sha256":"7f794f01d70d65489499ecf88ddc06b5c196e32a2cb867d248ff640e36f99c8e"},"schema_version":"1.0"},"canonical_sha256":"ff0479c9d3cd2122c3f8555e640931b577e42ef1cdcf2dae824c47497f7821a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:10.941082Z","signature_b64":"jlH2F3zwooYNxEO0BHq7Dsa9fPWjvRdRoCqEijJSLhrIqST2RRh/s9ughn5keBlFH6QPDf0gV/9MWhc9N1g6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff0479c9d3cd2122c3f8555e640931b577e42ef1cdcf2dae824c47497f7821a4","last_reissued_at":"2026-05-18T00:03:10.940104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:10.940104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.06962","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":"2026-05-18T00:03:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/yi7fYD59Ub3QO/+YdG9vaXvdya+9HM5GSbOxOQH1c7jCT1YwEjQIAHRFFfV3HZAGT7UNw0h8vUePbSREDJPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:24:50.314046Z"},"content_sha256":"e14d6bc2ba37d9d0abeac8bd02b0be94bbfe38351897990f62f12891a1353478","schema_version":"1.0","event_id":"sha256:e14d6bc2ba37d9d0abeac8bd02b0be94bbfe38351897990f62f12891a1353478"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:74CHTSOTZUQSFQ7YKVPGICJRWV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The resonant structure of Kink-Solitons in the Modified KP Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Jen-Hsu Chang","submitted_at":"2018-10-16T12:51:37Z","abstract_excerpt":"Using the Wronskian representation of $\\tau$-function, one can investigate the resonant structure of kink-soliton and line-soliton of the modified KP equation. It is found that the resonant structure of the the soliton graph is obtained by superimposition of the two corresponding soliton graphs of the two Le-Diagrams given an irreducible Schubert cell in a totally non-negative Grassmannian $Gr(N,M)_{ \\geq 0}$. Several examples are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06962","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":"2026-05-18T00:03:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+ZrFYhtNKD4D6ubVcQ5oDZJcQdrYVS2kIQDQu+IRgrYS8v+JdJ/mblMesildIwjkzbMH8LOqVUagGYFyTEIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:24:50.314395Z"},"content_sha256":"b5ae34f98e66c095d1f3cd6e4df4311a590bf33c8d08c82c99ef09bb4efc959b","schema_version":"1.0","event_id":"sha256:b5ae34f98e66c095d1f3cd6e4df4311a590bf33c8d08c82c99ef09bb4efc959b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/74CHTSOTZUQSFQ7YKVPGICJRWV/bundle.json","state_url":"https://pith.science/pith/74CHTSOTZUQSFQ7YKVPGICJRWV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/74CHTSOTZUQSFQ7YKVPGICJRWV/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":"2026-05-28T01:24:50Z","links":{"resolver":"https://pith.science/pith/74CHTSOTZUQSFQ7YKVPGICJRWV","bundle":"https://pith.science/pith/74CHTSOTZUQSFQ7YKVPGICJRWV/bundle.json","state":"https://pith.science/pith/74CHTSOTZUQSFQ7YKVPGICJRWV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/74CHTSOTZUQSFQ7YKVPGICJRWV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:74CHTSOTZUQSFQ7YKVPGICJRWV","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":"7f794f01d70d65489499ecf88ddc06b5c196e32a2cb867d248ff640e36f99c8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-10-16T12:51:37Z","title_canon_sha256":"d0870e57b0e278c11a8e2adf3c2262babb92b619e1fc2923357456f5d4b72bd9"},"schema_version":"1.0","source":{"id":"1810.06962","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06962","created_at":"2026-05-18T00:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06962v1","created_at":"2026-05-18T00:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06962","created_at":"2026-05-18T00:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"74CHTSOTZUQS","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"74CHTSOTZUQSFQ7Y","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"74CHTSOT","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:b5ae34f98e66c095d1f3cd6e4df4311a590bf33c8d08c82c99ef09bb4efc959b","target":"graph","created_at":"2026-05-18T00:03:10Z","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":"Using the Wronskian representation of $\\tau$-function, one can investigate the resonant structure of kink-soliton and line-soliton of the modified KP equation. It is found that the resonant structure of the the soliton graph is obtained by superimposition of the two corresponding soliton graphs of the two Le-Diagrams given an irreducible Schubert cell in a totally non-negative Grassmannian $Gr(N,M)_{ \\geq 0}$. Several examples are given.","authors_text":"Jen-Hsu Chang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-10-16T12:51:37Z","title":"The resonant structure of Kink-Solitons in the Modified KP Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06962","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:e14d6bc2ba37d9d0abeac8bd02b0be94bbfe38351897990f62f12891a1353478","target":"record","created_at":"2026-05-18T00:03:10Z","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":"7f794f01d70d65489499ecf88ddc06b5c196e32a2cb867d248ff640e36f99c8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-10-16T12:51:37Z","title_canon_sha256":"d0870e57b0e278c11a8e2adf3c2262babb92b619e1fc2923357456f5d4b72bd9"},"schema_version":"1.0","source":{"id":"1810.06962","kind":"arxiv","version":1}},"canonical_sha256":"ff0479c9d3cd2122c3f8555e640931b577e42ef1cdcf2dae824c47497f7821a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff0479c9d3cd2122c3f8555e640931b577e42ef1cdcf2dae824c47497f7821a4","first_computed_at":"2026-05-18T00:03:10.940104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:10.940104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jlH2F3zwooYNxEO0BHq7Dsa9fPWjvRdRoCqEijJSLhrIqST2RRh/s9ughn5keBlFH6QPDf0gV/9MWhc9N1g6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:10.941082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06962","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e14d6bc2ba37d9d0abeac8bd02b0be94bbfe38351897990f62f12891a1353478","sha256:b5ae34f98e66c095d1f3cd6e4df4311a590bf33c8d08c82c99ef09bb4efc959b"],"state_sha256":"222417db369ba66c12b25e6f690f504324bfdaaeffa585f22851fc37c056c7f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fWipeHnzsD4RHBqsygOOXfUwlMJTUJo+wmlAsMJW5+wwlj2aw7VkaaQLu04edCArLqPgMojNXFpIUbv4VcFJAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:24:50.316326Z","bundle_sha256":"0d59bc9207e2f467256f6656ebb3edc7fe89278108a613d350d652e640b43e02"}}