{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VEX3W5FBFNZ73AE6MRJ6J6ANPR","short_pith_number":"pith:VEX3W5FB","canonical_record":{"source":{"id":"1510.04096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-14T13:55:01Z","cross_cats_sorted":["math.MP","physics.flu-dyn","physics.geo-ph"],"title_canon_sha256":"0de11d4286dbf4e24c7420fa600f7d1e45d6c8a68795e5cc5c1fba4309e612ef","abstract_canon_sha256":"7266831c1d46b10b826e7582e3b90232b11ea017f40307f1d48000851e76fed0"},"schema_version":"1.0"},"canonical_sha256":"a92fbb74a12b73fd809e6453e4f80d7c5ca0f9bcecb6147c905baf8c9b8f76e9","source":{"kind":"arxiv","id":"1510.04096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04096","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04096v1","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04096","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"pith_short_12","alias_value":"VEX3W5FBFNZ7","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VEX3W5FBFNZ73AE6","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VEX3W5FB","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VEX3W5FBFNZ73AE6MRJ6J6ANPR","target":"record","payload":{"canonical_record":{"source":{"id":"1510.04096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-14T13:55:01Z","cross_cats_sorted":["math.MP","physics.flu-dyn","physics.geo-ph"],"title_canon_sha256":"0de11d4286dbf4e24c7420fa600f7d1e45d6c8a68795e5cc5c1fba4309e612ef","abstract_canon_sha256":"7266831c1d46b10b826e7582e3b90232b11ea017f40307f1d48000851e76fed0"},"schema_version":"1.0"},"canonical_sha256":"a92fbb74a12b73fd809e6453e4f80d7c5ca0f9bcecb6147c905baf8c9b8f76e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:38.652119Z","signature_b64":"B/IaRlAdw5hMqpc15C3mzAizhnDshBHDUhwV0AaJtxbPS12RzW9pWmj+0TrMJyAuRztDa48W2QETmYjEd5T8CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a92fbb74a12b73fd809e6453e4f80d7c5ca0f9bcecb6147c905baf8c9b8f76e9","last_reissued_at":"2026-05-18T01:11:38.651665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:38.651665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.04096","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":"2026-05-18T01:11:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mIhoQc+Efi1rHzeufX5TEFkcJSF9W7dqa0lXPXNcu5ZVLm+I95XNa1UkuD8yPKaHb3cjrlmifLfakLarYRX/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:53:03.824759Z"},"content_sha256":"34d6fff4b994860a9c65ef2b03eacdd8b5d59e1a523b9fec2a903161432698f9","schema_version":"1.0","event_id":"sha256:34d6fff4b994860a9c65ef2b03eacdd8b5d59e1a523b9fec2a903161432698f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VEX3W5FBFNZ73AE6MRJ6J6ANPR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the dynamics of internal waves interacting with the equatorial undercurrent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.flu-dyn","physics.geo-ph"],"primary_cat":"math-ph","authors_text":"Alan Compelli, Rossen Ivanov","submitted_at":"2015-10-14T13:55:01Z","abstract_excerpt":"The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04096","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":"2026-05-18T01:11:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8HmMNyC9IdxwULzJpBNy+Sz2tpM2nYZrPhX/wDGRJinllL4ityh2nebAIWxZpD/HB85USxEwvDMZotGlhPiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:53:03.825475Z"},"content_sha256":"33a7fcaca7db77c6a94303daef7cf4688570ae88639c634768cdb1187ae55448","schema_version":"1.0","event_id":"sha256:33a7fcaca7db77c6a94303daef7cf4688570ae88639c634768cdb1187ae55448"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR/bundle.json","state_url":"https://pith.science/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR/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":"2026-06-06T12:53:03Z","links":{"resolver":"https://pith.science/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR","bundle":"https://pith.science/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR/bundle.json","state":"https://pith.science/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEX3W5FBFNZ73AE6MRJ6J6ANPR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VEX3W5FBFNZ73AE6MRJ6J6ANPR","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":"7266831c1d46b10b826e7582e3b90232b11ea017f40307f1d48000851e76fed0","cross_cats_sorted":["math.MP","physics.flu-dyn","physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-14T13:55:01Z","title_canon_sha256":"0de11d4286dbf4e24c7420fa600f7d1e45d6c8a68795e5cc5c1fba4309e612ef"},"schema_version":"1.0","source":{"id":"1510.04096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04096","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04096v1","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04096","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"pith_short_12","alias_value":"VEX3W5FBFNZ7","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VEX3W5FBFNZ73AE6","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VEX3W5FB","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:33a7fcaca7db77c6a94303daef7cf4688570ae88639c634768cdb1187ae55448","target":"graph","created_at":"2026-05-18T01:11:38Z","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 interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system.","authors_text":"Alan Compelli, Rossen Ivanov","cross_cats":["math.MP","physics.flu-dyn","physics.geo-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-14T13:55:01Z","title":"On the dynamics of internal waves interacting with the equatorial undercurrent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04096","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":"sha256:34d6fff4b994860a9c65ef2b03eacdd8b5d59e1a523b9fec2a903161432698f9","target":"record","created_at":"2026-05-18T01:11:38Z","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":"7266831c1d46b10b826e7582e3b90232b11ea017f40307f1d48000851e76fed0","cross_cats_sorted":["math.MP","physics.flu-dyn","physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-14T13:55:01Z","title_canon_sha256":"0de11d4286dbf4e24c7420fa600f7d1e45d6c8a68795e5cc5c1fba4309e612ef"},"schema_version":"1.0","source":{"id":"1510.04096","kind":"arxiv","version":1}},"canonical_sha256":"a92fbb74a12b73fd809e6453e4f80d7c5ca0f9bcecb6147c905baf8c9b8f76e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a92fbb74a12b73fd809e6453e4f80d7c5ca0f9bcecb6147c905baf8c9b8f76e9","first_computed_at":"2026-05-18T01:11:38.651665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:38.651665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B/IaRlAdw5hMqpc15C3mzAizhnDshBHDUhwV0AaJtxbPS12RzW9pWmj+0TrMJyAuRztDa48W2QETmYjEd5T8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:38.652119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34d6fff4b994860a9c65ef2b03eacdd8b5d59e1a523b9fec2a903161432698f9","sha256:33a7fcaca7db77c6a94303daef7cf4688570ae88639c634768cdb1187ae55448"],"state_sha256":"06288508763c279f4b03fe171c2c30fe576cb543fb440761c432e55be90580aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mf2wimAKscPRAoQW/scmmdQA7fVFT47y7c4TUoBsP62wTncDf3VkvBDlYpXAtJ1CMRt1463gg1E4hWIL6g7eCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T12:53:03.828794Z","bundle_sha256":"942006af92278d199af0fc7bfe248bad3a4aa8e2fedb8b57cc2454f50a8c8179"}}