{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:56BRWNVV54AILXKYBNEEB43IBY","short_pith_number":"pith:56BRWNVV","schema_version":"1.0","canonical_sha256":"ef831b36b5ef0085dd580b4840f3680e335f36c693988f20dce6483ee611d7e3","source":{"kind":"arxiv","id":"1810.00712","version":1},"attestation_state":"computed","paper":{"title":"2D solutions of the hyperbolic discrete nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"J. D'Ambroise, P. G. Kevrekidis","submitted_at":"2018-10-01T14:09:59Z","abstract_excerpt":"We derive stationary solutions to the two-dimensional hyperbolic discrete nonlinear Schr\\\"odinger (HDNLS) equation by starting from the anti-continuum limit and extending solutions to include nearest-neighbor interactions in the coupling parameter. We use pseudo-arclength continuation to capture the relevant branches of solutions and explore their corresponding stability and dynamical properties (i.e., their fate when unstable). We focus on nine primary types of solutions: single site, double site in- and out-of-phase, squares with four sites in-phase and out-of phase in each of the vertical a"},"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":"1810.00712","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-10-01T14:09:59Z","cross_cats_sorted":[],"title_canon_sha256":"d2254c2b9cd0dbf9d40d29b32a9e8709f7fbf8a28e442aaa97c6e86ec6303d99","abstract_canon_sha256":"3376eced9e8ebf2f4c412c65ef5dfdc5cd2ee7ef0edf7dbbff14e70aedc79f02"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:25.044733Z","signature_b64":"coFDv0NDOiuFAjc8toEGBXYh+G6dfEjJcIAJMqVTAhplingegfD0JxtwAGSFgnobw4eBK3rhwl78w5Dmrq1KDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef831b36b5ef0085dd580b4840f3680e335f36c693988f20dce6483ee611d7e3","last_reissued_at":"2026-05-18T00:04:25.044082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:25.044082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"2D solutions of the hyperbolic discrete nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"J. D'Ambroise, P. G. Kevrekidis","submitted_at":"2018-10-01T14:09:59Z","abstract_excerpt":"We derive stationary solutions to the two-dimensional hyperbolic discrete nonlinear Schr\\\"odinger (HDNLS) equation by starting from the anti-continuum limit and extending solutions to include nearest-neighbor interactions in the coupling parameter. We use pseudo-arclength continuation to capture the relevant branches of solutions and explore their corresponding stability and dynamical properties (i.e., their fate when unstable). We focus on nine primary types of solutions: single site, double site in- and out-of-phase, squares with four sites in-phase and out-of phase in each of the vertical a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00712","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":"1810.00712","created_at":"2026-05-18T00:04:25.044181+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.00712v1","created_at":"2026-05-18T00:04:25.044181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00712","created_at":"2026-05-18T00:04:25.044181+00:00"},{"alias_kind":"pith_short_12","alias_value":"56BRWNVV54AI","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"56BRWNVV54AILXKY","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"56BRWNVV","created_at":"2026-05-18T12:32:08.215937+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/56BRWNVV54AILXKYBNEEB43IBY","json":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY.json","graph_json":"https://pith.science/api/pith-number/56BRWNVV54AILXKYBNEEB43IBY/graph.json","events_json":"https://pith.science/api/pith-number/56BRWNVV54AILXKYBNEEB43IBY/events.json","paper":"https://pith.science/paper/56BRWNVV"},"agent_actions":{"view_html":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY","download_json":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY.json","view_paper":"https://pith.science/paper/56BRWNVV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.00712&json=true","fetch_graph":"https://pith.science/api/pith-number/56BRWNVV54AILXKYBNEEB43IBY/graph.json","fetch_events":"https://pith.science/api/pith-number/56BRWNVV54AILXKYBNEEB43IBY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY/action/storage_attestation","attest_author":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY/action/author_attestation","sign_citation":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY/action/citation_signature","submit_replication":"https://pith.science/pith/56BRWNVV54AILXKYBNEEB43IBY/action/replication_record"}},"created_at":"2026-05-18T00:04:25.044181+00:00","updated_at":"2026-05-18T00:04:25.044181+00:00"}