{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:O5LCDFRA4BXP3HCQURREIGWAON","short_pith_number":"pith:O5LCDFRA","schema_version":"1.0","canonical_sha256":"7756219620e06efd9c50a462441ac073654fb35c9fc41875ad8d06eca897eb77","source":{"kind":"arxiv","id":"1812.01924","version":1},"attestation_state":"computed","paper":{"title":"Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"C. Efthymiopoulos, H. Christodoulidi","submitted_at":"2018-12-05T11:28:23Z","abstract_excerpt":"We investigate the long term evolution of trajectories in the Fermi-Pasta-Ulam (FPU) system, using as a probe the first non--trivial integral $J$ in the hierarchy of integrals of the corresponding Toda lattice model. To this end we perform simulations of FPU--trajectories for various classes of initial conditions produced by the excitation of isolated modes, packets, as well as `generic' (random) initial data. For initial conditions corresponding to localized energy excitations, $J$ exhibits variations yielding `sigmoid' curves similar to observables used in literature, e.g. the `spectral entr"},"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":"1812.01924","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-12-05T11:28:23Z","cross_cats_sorted":[],"title_canon_sha256":"e8217ce4bcf81259b829559a3698cfa231e2a440be5f1a337ef3bec0fb496d3c","abstract_canon_sha256":"5bbc03a88ef15e921cfaa50c728bd657fef7d068563de3f574b0006285616e23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:00.235748Z","signature_b64":"Epg6vs6d804piPJcmqGfMuwP9YD/knsl5CE70+UfXPMG0AyrchAovcx7bHCv7/sUk/2/OOsGZgKPXFoZoR22Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7756219620e06efd9c50a462441ac073654fb35c9fc41875ad8d06eca897eb77","last_reissued_at":"2026-05-17T23:59:00.235247Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:00.235247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"C. Efthymiopoulos, H. Christodoulidi","submitted_at":"2018-12-05T11:28:23Z","abstract_excerpt":"We investigate the long term evolution of trajectories in the Fermi-Pasta-Ulam (FPU) system, using as a probe the first non--trivial integral $J$ in the hierarchy of integrals of the corresponding Toda lattice model. To this end we perform simulations of FPU--trajectories for various classes of initial conditions produced by the excitation of isolated modes, packets, as well as `generic' (random) initial data. For initial conditions corresponding to localized energy excitations, $J$ exhibits variations yielding `sigmoid' curves similar to observables used in literature, e.g. the `spectral entr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01924","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":"1812.01924","created_at":"2026-05-17T23:59:00.235348+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.01924v1","created_at":"2026-05-17T23:59:00.235348+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01924","created_at":"2026-05-17T23:59:00.235348+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5LCDFRA4BXP","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5LCDFRA4BXP3HCQ","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5LCDFRA","created_at":"2026-05-18T12:32:43.782077+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/O5LCDFRA4BXP3HCQURREIGWAON","json":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON.json","graph_json":"https://pith.science/api/pith-number/O5LCDFRA4BXP3HCQURREIGWAON/graph.json","events_json":"https://pith.science/api/pith-number/O5LCDFRA4BXP3HCQURREIGWAON/events.json","paper":"https://pith.science/paper/O5LCDFRA"},"agent_actions":{"view_html":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON","download_json":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON.json","view_paper":"https://pith.science/paper/O5LCDFRA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.01924&json=true","fetch_graph":"https://pith.science/api/pith-number/O5LCDFRA4BXP3HCQURREIGWAON/graph.json","fetch_events":"https://pith.science/api/pith-number/O5LCDFRA4BXP3HCQURREIGWAON/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON/action/storage_attestation","attest_author":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON/action/author_attestation","sign_citation":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON/action/citation_signature","submit_replication":"https://pith.science/pith/O5LCDFRA4BXP3HCQURREIGWAON/action/replication_record"}},"created_at":"2026-05-17T23:59:00.235348+00:00","updated_at":"2026-05-17T23:59:00.235348+00:00"}