{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VR44OJBG2LXUROMSQOU24XOOEO","short_pith_number":"pith:VR44OJBG","schema_version":"1.0","canonical_sha256":"ac79c72426d2ef48b99283a9ae5dce23ab165ea18dfb647ddb5cd4a4ff1b93ed","source":{"kind":"arxiv","id":"1710.05068","version":1},"attestation_state":"computed","paper":{"title":"Universal behavior of modulationally unstable media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Dionyssis Mantzavinos, Gino Biondini, Sitai Li, Stefano Trillo","submitted_at":"2017-10-13T20:19:59Z","abstract_excerpt":"Evidence is presented of universal behavior in modulationally unstable media. An ensemble of nonlinear evolution equations, including three partial differential equations, an integro-differential equation, a nonlocal system and a differential-difference equation, is studied. Collectively, these systems arise in a variety of applications in the physical and mathematical sciences, including water waves, optics, acoustics, Bose-Einstein condensation, and more. All these models exhibit modulational instability, namely, the property that a constant background is unstable to long-wavelength perturba"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.05068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-10-13T20:19:59Z","cross_cats_sorted":[],"title_canon_sha256":"a98ae75592ae11b6b0e263b5ec2e0c951ba00e4b4c959c8e328f359c6ac8b345","abstract_canon_sha256":"0959616c5cd1d7b240e8dac0724668140973802c4dc4716f7c542b2a5e7e1c40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:54.500396Z","signature_b64":"h4cPjYfBQw/kb5YVpFhshHcvna/eR/fvn6hKDb9h+jLkIj2ucy/N5gtQ6cg0eF6WmpqWkyuM/AxHasqIfUvTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac79c72426d2ef48b99283a9ae5dce23ab165ea18dfb647ddb5cd4a4ff1b93ed","last_reissued_at":"2026-05-18T00:32:54.499661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:54.499661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal behavior of modulationally unstable media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Dionyssis Mantzavinos, Gino Biondini, Sitai Li, Stefano Trillo","submitted_at":"2017-10-13T20:19:59Z","abstract_excerpt":"Evidence is presented of universal behavior in modulationally unstable media. An ensemble of nonlinear evolution equations, including three partial differential equations, an integro-differential equation, a nonlocal system and a differential-difference equation, is studied. Collectively, these systems arise in a variety of applications in the physical and mathematical sciences, including water waves, optics, acoustics, Bose-Einstein condensation, and more. All these models exhibit modulational instability, namely, the property that a constant background is unstable to long-wavelength perturba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05068","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.05068","created_at":"2026-05-18T00:32:54.499787+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.05068v1","created_at":"2026-05-18T00:32:54.499787+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05068","created_at":"2026-05-18T00:32:54.499787+00:00"},{"alias_kind":"pith_short_12","alias_value":"VR44OJBG2LXU","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VR44OJBG2LXUROMS","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VR44OJBG","created_at":"2026-05-18T12:31:49.984773+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO","json":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO.json","graph_json":"https://pith.science/api/pith-number/VR44OJBG2LXUROMSQOU24XOOEO/graph.json","events_json":"https://pith.science/api/pith-number/VR44OJBG2LXUROMSQOU24XOOEO/events.json","paper":"https://pith.science/paper/VR44OJBG"},"agent_actions":{"view_html":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO","download_json":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO.json","view_paper":"https://pith.science/paper/VR44OJBG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.05068&json=true","fetch_graph":"https://pith.science/api/pith-number/VR44OJBG2LXUROMSQOU24XOOEO/graph.json","fetch_events":"https://pith.science/api/pith-number/VR44OJBG2LXUROMSQOU24XOOEO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO/action/storage_attestation","attest_author":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO/action/author_attestation","sign_citation":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO/action/citation_signature","submit_replication":"https://pith.science/pith/VR44OJBG2LXUROMSQOU24XOOEO/action/replication_record"}},"created_at":"2026-05-18T00:32:54.499787+00:00","updated_at":"2026-05-18T00:32:54.499787+00:00"}