{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ET77YRDWA6LKBHMGEJFUCBQHBH","short_pith_number":"pith:ET77YRDW","canonical_record":{"source":{"id":"1204.5346","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-24T11:49:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b35ea84bc2b4080b3cdf3b86947895359481dc37daf877ab95f6f41c2aaa986b","abstract_canon_sha256":"56729e9334c91ccba696e853c5b2d1d3dabf9c29bbb4163c74d0f3619d6c6f45"},"schema_version":"1.0"},"canonical_sha256":"24fffc44760796a09d86224b41060709cde1ccb9f9b5180e681e87bf5e48df7f","source":{"kind":"arxiv","id":"1204.5346","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5346","created_at":"2026-05-18T03:34:03Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5346v2","created_at":"2026-05-18T03:34:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5346","created_at":"2026-05-18T03:34:03Z"},{"alias_kind":"pith_short_12","alias_value":"ET77YRDWA6LK","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ET77YRDWA6LKBHMG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ET77YRDW","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ET77YRDWA6LKBHMGEJFUCBQHBH","target":"record","payload":{"canonical_record":{"source":{"id":"1204.5346","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-24T11:49:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b35ea84bc2b4080b3cdf3b86947895359481dc37daf877ab95f6f41c2aaa986b","abstract_canon_sha256":"56729e9334c91ccba696e853c5b2d1d3dabf9c29bbb4163c74d0f3619d6c6f45"},"schema_version":"1.0"},"canonical_sha256":"24fffc44760796a09d86224b41060709cde1ccb9f9b5180e681e87bf5e48df7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:03.281967Z","signature_b64":"KWn78I/2ATJbY29IfS4MFVT47x4qjf+fWq4dBw69lE6rD5TF1BStV9wi00VsnT38X3szmePwsuWApiouGWjmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24fffc44760796a09d86224b41060709cde1ccb9f9b5180e681e87bf5e48df7f","last_reissued_at":"2026-05-18T03:34:03.281231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:03.281231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.5346","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":"2026-05-18T03:34:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4NcCnaexSd5fu/gulXrbF33M/SN6Rek/xifLVvbAU6XPrx8BPGSPDpi4xrVTpWpWbH8bJgzzfsDa78XpkbuhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:52:05.723419Z"},"content_sha256":"6f425b2e72574127d1fd78e2651cee631c95e1966276a8bd3d737282dcddaf64","schema_version":"1.0","event_id":"sha256:6f425b2e72574127d1fd78e2651cee631c95e1966276a8bd3d737282dcddaf64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ET77YRDWA6LKBHMGEJFUCBQHBH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the 3-wave Equations with Constant Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Georgi G. Grahovski, Vladimir S. Gerdjikov","submitted_at":"2012-04-24T11:49:09Z","abstract_excerpt":"The inverse scattering transform for a special case of the 3-wave resonant interaction equations with non-vanishing boundary conditions is studied. The Jost solutions and the fundamental analytic solutions (FAS) for the associated spectral problem are constructed. The inverse scattering problem for the Lax operator is formulated as a Riemann-Hilbert problem on a Riemann surface. The spectral properties of the Lax operator are formulated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5346","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":""},"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":"2026-05-18T03:34:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKtVGWpg39B3Jbi5Q3ESeT7pP8XLxsDL43orhvFZBxfUAtTQwOddm+Wv5ojyppxmer/6RwJF1z+ZRIGVlqHCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:52:05.723779Z"},"content_sha256":"4b55716a9031a2236c696e75607bdbf627578fff89340ca1bdca451351b3f80e","schema_version":"1.0","event_id":"sha256:4b55716a9031a2236c696e75607bdbf627578fff89340ca1bdca451351b3f80e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ET77YRDWA6LKBHMGEJFUCBQHBH/bundle.json","state_url":"https://pith.science/pith/ET77YRDWA6LKBHMGEJFUCBQHBH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ET77YRDWA6LKBHMGEJFUCBQHBH/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":"2026-06-25T16:52:05Z","links":{"resolver":"https://pith.science/pith/ET77YRDWA6LKBHMGEJFUCBQHBH","bundle":"https://pith.science/pith/ET77YRDWA6LKBHMGEJFUCBQHBH/bundle.json","state":"https://pith.science/pith/ET77YRDWA6LKBHMGEJFUCBQHBH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ET77YRDWA6LKBHMGEJFUCBQHBH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ET77YRDWA6LKBHMGEJFUCBQHBH","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":"56729e9334c91ccba696e853c5b2d1d3dabf9c29bbb4163c74d0f3619d6c6f45","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-24T11:49:09Z","title_canon_sha256":"b35ea84bc2b4080b3cdf3b86947895359481dc37daf877ab95f6f41c2aaa986b"},"schema_version":"1.0","source":{"id":"1204.5346","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5346","created_at":"2026-05-18T03:34:03Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5346v2","created_at":"2026-05-18T03:34:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5346","created_at":"2026-05-18T03:34:03Z"},{"alias_kind":"pith_short_12","alias_value":"ET77YRDWA6LK","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ET77YRDWA6LKBHMG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ET77YRDW","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:4b55716a9031a2236c696e75607bdbf627578fff89340ca1bdca451351b3f80e","target":"graph","created_at":"2026-05-18T03:34:03Z","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 inverse scattering transform for a special case of the 3-wave resonant interaction equations with non-vanishing boundary conditions is studied. The Jost solutions and the fundamental analytic solutions (FAS) for the associated spectral problem are constructed. The inverse scattering problem for the Lax operator is formulated as a Riemann-Hilbert problem on a Riemann surface. The spectral properties of the Lax operator are formulated.","authors_text":"Georgi G. Grahovski, Vladimir S. Gerdjikov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-24T11:49:09Z","title":"On the 3-wave Equations with Constant Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5346","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":"sha256:6f425b2e72574127d1fd78e2651cee631c95e1966276a8bd3d737282dcddaf64","target":"record","created_at":"2026-05-18T03:34:03Z","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":"56729e9334c91ccba696e853c5b2d1d3dabf9c29bbb4163c74d0f3619d6c6f45","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-24T11:49:09Z","title_canon_sha256":"b35ea84bc2b4080b3cdf3b86947895359481dc37daf877ab95f6f41c2aaa986b"},"schema_version":"1.0","source":{"id":"1204.5346","kind":"arxiv","version":2}},"canonical_sha256":"24fffc44760796a09d86224b41060709cde1ccb9f9b5180e681e87bf5e48df7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24fffc44760796a09d86224b41060709cde1ccb9f9b5180e681e87bf5e48df7f","first_computed_at":"2026-05-18T03:34:03.281231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:03.281231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KWn78I/2ATJbY29IfS4MFVT47x4qjf+fWq4dBw69lE6rD5TF1BStV9wi00VsnT38X3szmePwsuWApiouGWjmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:03.281967Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5346","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f425b2e72574127d1fd78e2651cee631c95e1966276a8bd3d737282dcddaf64","sha256:4b55716a9031a2236c696e75607bdbf627578fff89340ca1bdca451351b3f80e"],"state_sha256":"9ee80355a7ed5d8d95bea43cc5278761f3a3215f21cf60478b81363d19939a44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fr/T040IrCqhe5NlyIzZDazCMI66hOxs1y8CV4cscbwPVTovThzwIpXe+GiLNAPTvix0JwAX7y+JGarwC3g4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T16:52:05.725716Z","bundle_sha256":"dee7b5223e56e6d6bc4365b7004461921a5a4f5e856df4a0bd977ff2b2bc61fc"}}