{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DOV6WO2IRKH5DJJEZZYOY5EANH","short_pith_number":"pith:DOV6WO2I","canonical_record":{"source":{"id":"1709.07850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-22T17:07:15Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"3693821eb3f73e34592b9c29936783e5c509fb6574352432608a7103aa525ba0","abstract_canon_sha256":"1a9f190d5b861086eefac4e8a0bb12ecd5fa8b364381dcc9ff7a6d12dc154d20"},"schema_version":"1.0"},"canonical_sha256":"1babeb3b488a8fd1a524ce70ec748069dc05e2f8f6c549a80b8ac6fb5e7a1604","source":{"kind":"arxiv","id":"1709.07850","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07850","created_at":"2026-05-18T00:26:43Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07850v2","created_at":"2026-05-18T00:26:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07850","created_at":"2026-05-18T00:26:43Z"},{"alias_kind":"pith_short_12","alias_value":"DOV6WO2IRKH5","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DOV6WO2IRKH5DJJE","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DOV6WO2I","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DOV6WO2IRKH5DJJEZZYOY5EANH","target":"record","payload":{"canonical_record":{"source":{"id":"1709.07850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-22T17:07:15Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"3693821eb3f73e34592b9c29936783e5c509fb6574352432608a7103aa525ba0","abstract_canon_sha256":"1a9f190d5b861086eefac4e8a0bb12ecd5fa8b364381dcc9ff7a6d12dc154d20"},"schema_version":"1.0"},"canonical_sha256":"1babeb3b488a8fd1a524ce70ec748069dc05e2f8f6c549a80b8ac6fb5e7a1604","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:43.558212Z","signature_b64":"LCgIgZbVY4RUcKzBLyn7z3wgAfsqaRPFQIORjxwOpQxl9bqJxvsYOaqESiK7iQ+O3n99JoWF2gVisIpWtk3pAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1babeb3b488a8fd1a524ce70ec748069dc05e2f8f6c549a80b8ac6fb5e7a1604","last_reissued_at":"2026-05-18T00:26:43.557657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:43.557657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.07850","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":"2026-05-18T00:26:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aTo781Kp/BF3vc0AEpco8qOze4m8xkbsDZnyAhaPcR/I5BmXIoLMijQVe+P7F3Y0Laluprb+uR6ofAWLKT+SDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:11:48.738558Z"},"content_sha256":"100703ce467f88b54f16b2c1d25a14e98c771aec83ad48b0c78e81400391ee75","schema_version":"1.0","event_id":"sha256:100703ce467f88b54f16b2c1d25a14e98c771aec83ad48b0c78e81400391ee75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DOV6WO2IRKH5DJJEZZYOY5EANH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear stage of Benjamin-Feir instability in forced/damped deep water waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.flu-dyn","authors_text":"Andrea Armaroli, Debbie Eeltink, J\\'er\\^ome Kasparian, Maura Brunetti","submitted_at":"2017-09-22T17:07:15Z","abstract_excerpt":"We study a three-wave truncation of a recently proposed damped/forced high-order nonlinear Schr\\\"odinger equation for deep-water gravity waves under the effect of wind and viscosity. The evolution of the norm (wave-action) and spectral mean of the full model are well captured by the reduced dynamics. Three regimes are found for the wind-viscosity balance: we classify them according to the attractor in the phase-plane of the truncated system and to the shift of the spectral mean. A downshift can coexist with both net forcing and damping, i.e., attraction to period-1 or period-2 solutions. Upshi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07850","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":"2026-05-18T00:26:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ol/0tIfFxz9I57mUuHPJdr0zra8/f5e2+96XsSU6F6gohm+qK2bTLLWoOsgdgmrWqAKVDB7mtgIahAKrVlU1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:11:48.739221Z"},"content_sha256":"9c1801a9958bbdbe8eeb5cc3f30cfbc4e02df29f6fad55a81aac4c822d2d99a8","schema_version":"1.0","event_id":"sha256:9c1801a9958bbdbe8eeb5cc3f30cfbc4e02df29f6fad55a81aac4c822d2d99a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DOV6WO2IRKH5DJJEZZYOY5EANH/bundle.json","state_url":"https://pith.science/pith/DOV6WO2IRKH5DJJEZZYOY5EANH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DOV6WO2IRKH5DJJEZZYOY5EANH/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":"2026-05-25T17:11:48Z","links":{"resolver":"https://pith.science/pith/DOV6WO2IRKH5DJJEZZYOY5EANH","bundle":"https://pith.science/pith/DOV6WO2IRKH5DJJEZZYOY5EANH/bundle.json","state":"https://pith.science/pith/DOV6WO2IRKH5DJJEZZYOY5EANH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DOV6WO2IRKH5DJJEZZYOY5EANH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DOV6WO2IRKH5DJJEZZYOY5EANH","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":"1a9f190d5b861086eefac4e8a0bb12ecd5fa8b364381dcc9ff7a6d12dc154d20","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-22T17:07:15Z","title_canon_sha256":"3693821eb3f73e34592b9c29936783e5c509fb6574352432608a7103aa525ba0"},"schema_version":"1.0","source":{"id":"1709.07850","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07850","created_at":"2026-05-18T00:26:43Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07850v2","created_at":"2026-05-18T00:26:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07850","created_at":"2026-05-18T00:26:43Z"},{"alias_kind":"pith_short_12","alias_value":"DOV6WO2IRKH5","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DOV6WO2IRKH5DJJE","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DOV6WO2I","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:9c1801a9958bbdbe8eeb5cc3f30cfbc4e02df29f6fad55a81aac4c822d2d99a8","target":"graph","created_at":"2026-05-18T00:26:43Z","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":"We study a three-wave truncation of a recently proposed damped/forced high-order nonlinear Schr\\\"odinger equation for deep-water gravity waves under the effect of wind and viscosity. The evolution of the norm (wave-action) and spectral mean of the full model are well captured by the reduced dynamics. Three regimes are found for the wind-viscosity balance: we classify them according to the attractor in the phase-plane of the truncated system and to the shift of the spectral mean. A downshift can coexist with both net forcing and damping, i.e., attraction to period-1 or period-2 solutions. Upshi","authors_text":"Andrea Armaroli, Debbie Eeltink, J\\'er\\^ome Kasparian, Maura Brunetti","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-22T17:07:15Z","title":"Nonlinear stage of Benjamin-Feir instability in forced/damped deep water waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07850","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":"sha256:100703ce467f88b54f16b2c1d25a14e98c771aec83ad48b0c78e81400391ee75","target":"record","created_at":"2026-05-18T00:26:43Z","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":"1a9f190d5b861086eefac4e8a0bb12ecd5fa8b364381dcc9ff7a6d12dc154d20","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-22T17:07:15Z","title_canon_sha256":"3693821eb3f73e34592b9c29936783e5c509fb6574352432608a7103aa525ba0"},"schema_version":"1.0","source":{"id":"1709.07850","kind":"arxiv","version":2}},"canonical_sha256":"1babeb3b488a8fd1a524ce70ec748069dc05e2f8f6c549a80b8ac6fb5e7a1604","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1babeb3b488a8fd1a524ce70ec748069dc05e2f8f6c549a80b8ac6fb5e7a1604","first_computed_at":"2026-05-18T00:26:43.557657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:43.557657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LCgIgZbVY4RUcKzBLyn7z3wgAfsqaRPFQIORjxwOpQxl9bqJxvsYOaqESiK7iQ+O3n99JoWF2gVisIpWtk3pAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:43.558212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07850","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:100703ce467f88b54f16b2c1d25a14e98c771aec83ad48b0c78e81400391ee75","sha256:9c1801a9958bbdbe8eeb5cc3f30cfbc4e02df29f6fad55a81aac4c822d2d99a8"],"state_sha256":"dbd51bf0a894af4b7d0b0b44fd85557ab034bcdf0cf84df4b30eac31d2716119"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBPcB7qBqD7UJz3UREUHLvf3g138W8QGbkRf9h1yxjQbzFaWzO+u04b9cWaAj11prSmlNB7a2Njd6nim7FVtCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:11:48.742776Z","bundle_sha256":"e0611910ab87828e2879b2b0297f0bfe3a579ddc5618ef9ca2bbea963266d5c2"}}