{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:E7HOYHMNKPSNY3DDEQUJLLPDDF","short_pith_number":"pith:E7HOYHMN","schema_version":"1.0","canonical_sha256":"27ceec1d8d53e4dc6c63242895ade319758a8ee50e090b8bf5f7f87cca40b64e","source":{"kind":"arxiv","id":"1312.4122","version":1},"attestation_state":"computed","paper":{"title":"Diffractons: solitary waves created by diffraction in periodic media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"David I. Ketcheson, Manuel Quezada de Luna","submitted_at":"2013-12-15T08:15:52Z","abstract_excerpt":"A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodica"},"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":"1312.4122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-15T08:15:52Z","cross_cats_sorted":[],"title_canon_sha256":"f1dbea8675737ebe423414c134639b39d14a61fc80215ff5fdb0239edc8ce1b9","abstract_canon_sha256":"406a00c77d5ce7c328248ca825d9b80578cbf731012bbf5cd1ea1ef73eda048c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:35.632761Z","signature_b64":"ehO0zwmna1XFPtnqo5uS1LVY3U9vWIbXFDfyQ9Cw5RD8aItKzdI2KKNk75Ae2Dx8+4Ype3IEbkWkcFMqkrgSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27ceec1d8d53e4dc6c63242895ade319758a8ee50e090b8bf5f7f87cca40b64e","last_reissued_at":"2026-05-18T03:04:35.632004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:35.632004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffractons: solitary waves created by diffraction in periodic media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"David I. Ketcheson, Manuel Quezada de Luna","submitted_at":"2013-12-15T08:15:52Z","abstract_excerpt":"A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4122","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":"1312.4122","created_at":"2026-05-18T03:04:35.632121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.4122v1","created_at":"2026-05-18T03:04:35.632121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4122","created_at":"2026-05-18T03:04:35.632121+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7HOYHMNKPSN","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7HOYHMNKPSNY3DD","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7HOYHMN","created_at":"2026-05-18T12:27:43.054852+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/E7HOYHMNKPSNY3DDEQUJLLPDDF","json":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF.json","graph_json":"https://pith.science/api/pith-number/E7HOYHMNKPSNY3DDEQUJLLPDDF/graph.json","events_json":"https://pith.science/api/pith-number/E7HOYHMNKPSNY3DDEQUJLLPDDF/events.json","paper":"https://pith.science/paper/E7HOYHMN"},"agent_actions":{"view_html":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF","download_json":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF.json","view_paper":"https://pith.science/paper/E7HOYHMN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.4122&json=true","fetch_graph":"https://pith.science/api/pith-number/E7HOYHMNKPSNY3DDEQUJLLPDDF/graph.json","fetch_events":"https://pith.science/api/pith-number/E7HOYHMNKPSNY3DDEQUJLLPDDF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF/action/storage_attestation","attest_author":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF/action/author_attestation","sign_citation":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF/action/citation_signature","submit_replication":"https://pith.science/pith/E7HOYHMNKPSNY3DDEQUJLLPDDF/action/replication_record"}},"created_at":"2026-05-18T03:04:35.632121+00:00","updated_at":"2026-05-18T03:04:35.632121+00:00"}