{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:56IYDLTVYPZIDQ6ZKTKTLFSWWE","short_pith_number":"pith:56IYDLTV","schema_version":"1.0","canonical_sha256":"ef9181ae75c3f281c3d954d5359656b1285188a397de26ca8d58b7f2481b3b03","source":{"kind":"arxiv","id":"1801.03187","version":1},"attestation_state":"computed","paper":{"title":"Choreographies in the Discrete Nonlinear Schr\\\"odinger Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Garc\\'ia-Azpeitia, Carlos L. Pando, Eusebius Doedel, Renato Calleja","submitted_at":"2018-01-09T23:34:04Z","abstract_excerpt":"We study periodic solutions of the discrete nonlinear Schr\\\"{o}dinger equation (DNLSE) that bifurcate from a symmetric polygonal relative equilibrium containing $n$ sites. With specialized numerical continuation techniques and a varying physically relevant parameter we can locate interesting orbits, including infinitely many choreographies. Many of the orbits that correspond to choreographies are stable, as indicated by Floquet multipliers that are extracted as part of the numerical continuation scheme, and as verified \\textit{a posteriori} by simple numerical integration. We discuss the physi"},"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":"1801.03187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-01-09T23:34:04Z","cross_cats_sorted":[],"title_canon_sha256":"6f30aed198be316a6d1edfdf598c7352455fa8ad50497dd384743980af1449ff","abstract_canon_sha256":"72d22fea24d2bc3a29999ddc0a08b00edbc3f9bafb6dc687099664dc0aca7989"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:57.763144Z","signature_b64":"BE+QyYzw1dpEJa6h/lyLBhfmQA10A7UOCV6sjJI5EsqGgxdZmB2Yo3t6lIjke60mvc6WpNYxoxptztLyYQlqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef9181ae75c3f281c3d954d5359656b1285188a397de26ca8d58b7f2481b3b03","last_reissued_at":"2026-05-18T00:00:57.762560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:57.762560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Choreographies in the Discrete Nonlinear Schr\\\"odinger Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Garc\\'ia-Azpeitia, Carlos L. Pando, Eusebius Doedel, Renato Calleja","submitted_at":"2018-01-09T23:34:04Z","abstract_excerpt":"We study periodic solutions of the discrete nonlinear Schr\\\"{o}dinger equation (DNLSE) that bifurcate from a symmetric polygonal relative equilibrium containing $n$ sites. With specialized numerical continuation techniques and a varying physically relevant parameter we can locate interesting orbits, including infinitely many choreographies. Many of the orbits that correspond to choreographies are stable, as indicated by Floquet multipliers that are extracted as part of the numerical continuation scheme, and as verified \\textit{a posteriori} by simple numerical integration. We discuss the physi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03187","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":"1801.03187","created_at":"2026-05-18T00:00:57.762653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.03187v1","created_at":"2026-05-18T00:00:57.762653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03187","created_at":"2026-05-18T00:00:57.762653+00:00"},{"alias_kind":"pith_short_12","alias_value":"56IYDLTVYPZI","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"56IYDLTVYPZIDQ6Z","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"56IYDLTV","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/56IYDLTVYPZIDQ6ZKTKTLFSWWE","json":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE.json","graph_json":"https://pith.science/api/pith-number/56IYDLTVYPZIDQ6ZKTKTLFSWWE/graph.json","events_json":"https://pith.science/api/pith-number/56IYDLTVYPZIDQ6ZKTKTLFSWWE/events.json","paper":"https://pith.science/paper/56IYDLTV"},"agent_actions":{"view_html":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE","download_json":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE.json","view_paper":"https://pith.science/paper/56IYDLTV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.03187&json=true","fetch_graph":"https://pith.science/api/pith-number/56IYDLTVYPZIDQ6ZKTKTLFSWWE/graph.json","fetch_events":"https://pith.science/api/pith-number/56IYDLTVYPZIDQ6ZKTKTLFSWWE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE/action/storage_attestation","attest_author":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE/action/author_attestation","sign_citation":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE/action/citation_signature","submit_replication":"https://pith.science/pith/56IYDLTVYPZIDQ6ZKTKTLFSWWE/action/replication_record"}},"created_at":"2026-05-18T00:00:57.762653+00:00","updated_at":"2026-05-18T00:00:57.762653+00:00"}