{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:PKOC2HICSFCMXP3QQDBMV5ZYMA","short_pith_number":"pith:PKOC2HIC","schema_version":"1.0","canonical_sha256":"7a9c2d1d029144cbbf7080c2caf73860244f48b626324acd6ebc05df1a32b1a9","source":{"kind":"arxiv","id":"2310.06934","version":2},"attestation_state":"computed","paper":{"title":"Modulation Instability and Wavenumber Bandgap Breathers in a Time Layered Phononic Lattice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Brian Kim, Chiara Daraio, Christopher Chong, Evelyn Wallace","submitted_at":"2023-10-10T18:43:24Z","abstract_excerpt":"We demonstrate the existence of wavenumber bandgap (q-gap) breathers in a time-periodic phononic lattice. These breathers are localized in time and periodic in space, and are the counterparts to the classical breathers found in spatially-periodic systems. We derive an exact condition for modulation instability that leads to the opening of wavenumber bandgaps. The q-gap breathers become more narrow and larger in amplitude as the wavenumber goes further into the bandgap. In the presence of damping, these structures acquire a non-zero, oscillating tail. The experiment and model exhibit qualitativ"},"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":"2310.06934","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2023-10-10T18:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"5c66e5d292ae6b4edf208ff35de0e89b82eead451275c7ca52d4a447a0d1842b","abstract_canon_sha256":"6083e38cf411b11b905453d6254e5adf73624d2422836c35d1157ba80ad3d13b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:00:10.072716Z","signature_b64":"Ryjx+Nxt/osbOl/VLEzZiTz1oIWxze4qsnmW/WfwgTqsk3TjwdUOZ+3y2pTkLzh3CaFMtE8PqkLKW5PczNAaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a9c2d1d029144cbbf7080c2caf73860244f48b626324acd6ebc05df1a32b1a9","last_reissued_at":"2026-07-05T07:00:10.072353Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:00:10.072353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulation Instability and Wavenumber Bandgap Breathers in a Time Layered Phononic Lattice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Brian Kim, Chiara Daraio, Christopher Chong, Evelyn Wallace","submitted_at":"2023-10-10T18:43:24Z","abstract_excerpt":"We demonstrate the existence of wavenumber bandgap (q-gap) breathers in a time-periodic phononic lattice. These breathers are localized in time and periodic in space, and are the counterparts to the classical breathers found in spatially-periodic systems. We derive an exact condition for modulation instability that leads to the opening of wavenumber bandgaps. The q-gap breathers become more narrow and larger in amplitude as the wavenumber goes further into the bandgap. In the presence of damping, these structures acquire a non-zero, oscillating tail. The experiment and model exhibit qualitativ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.06934","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.06934/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2310.06934","created_at":"2026-07-05T07:00:10.072404+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.06934v2","created_at":"2026-07-05T07:00:10.072404+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.06934","created_at":"2026-07-05T07:00:10.072404+00:00"},{"alias_kind":"pith_short_12","alias_value":"PKOC2HICSFCM","created_at":"2026-07-05T07:00:10.072404+00:00"},{"alias_kind":"pith_short_16","alias_value":"PKOC2HICSFCMXP3Q","created_at":"2026-07-05T07:00:10.072404+00:00"},{"alias_kind":"pith_short_8","alias_value":"PKOC2HIC","created_at":"2026-07-05T07:00:10.072404+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/PKOC2HICSFCMXP3QQDBMV5ZYMA","json":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA.json","graph_json":"https://pith.science/api/pith-number/PKOC2HICSFCMXP3QQDBMV5ZYMA/graph.json","events_json":"https://pith.science/api/pith-number/PKOC2HICSFCMXP3QQDBMV5ZYMA/events.json","paper":"https://pith.science/paper/PKOC2HIC"},"agent_actions":{"view_html":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA","download_json":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA.json","view_paper":"https://pith.science/paper/PKOC2HIC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.06934&json=true","fetch_graph":"https://pith.science/api/pith-number/PKOC2HICSFCMXP3QQDBMV5ZYMA/graph.json","fetch_events":"https://pith.science/api/pith-number/PKOC2HICSFCMXP3QQDBMV5ZYMA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA/action/storage_attestation","attest_author":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA/action/author_attestation","sign_citation":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA/action/citation_signature","submit_replication":"https://pith.science/pith/PKOC2HICSFCMXP3QQDBMV5ZYMA/action/replication_record"}},"created_at":"2026-07-05T07:00:10.072404+00:00","updated_at":"2026-07-05T07:00:10.072404+00:00"}