{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JVCDNNN72XWONXXZIR3DP2GFR6","short_pith_number":"pith:JVCDNNN7","schema_version":"1.0","canonical_sha256":"4d4436b5bfd5ece6def9447637e8c58fb33cc8f13cd5525aa99846a6383e6f5b","source":{"kind":"arxiv","id":"1702.06863","version":1},"attestation_state":"computed","paper":{"title":"Numerical solutions of Hamiltonian PDEs: a multi-symplectic integrator in light-cone coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.PS","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Hugo Ricateau, Leticia F. Cugliandolo","submitted_at":"2017-02-22T17:20:41Z","abstract_excerpt":"We introduce a novel numerical method to integrate partial differential equations representing the Hamiltonian dynamics of field theories. It is a multi-symplectic integrator that locally conserves the stress-energy tensor with an excellent precision over very long periods. Its major advantage is that it is extremely simple (it is basically a centered box scheme) while remaining locally well defined. We put it to the test in the case of the non-linear wave equation (with quartic potential) in one spatial dimension, and we explain how to implement it in higher dimensions. A formal geometric pre"},"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":"1702.06863","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-22T17:20:41Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS","physics.comp-ph"],"title_canon_sha256":"d00c9143b069f64df3aa0561fec31839a59d2e2cfa409b605c0b3eee85fb068a","abstract_canon_sha256":"7dea1cc1d130add2dd9082464c92e51627133ef33556a848c0e7e50ad8daf5b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:10.290459Z","signature_b64":"bAxHS1lTq/2Nzr17gIOFe+tcSfQd3srEK3+a5EVHUVkhNxCrVCLaMDstBVV9xjlr9HFeEadfzhenIrii1QygAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d4436b5bfd5ece6def9447637e8c58fb33cc8f13cd5525aa99846a6383e6f5b","last_reissued_at":"2026-05-18T00:50:10.289927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:10.289927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical solutions of Hamiltonian PDEs: a multi-symplectic integrator in light-cone coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.PS","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Hugo Ricateau, Leticia F. Cugliandolo","submitted_at":"2017-02-22T17:20:41Z","abstract_excerpt":"We introduce a novel numerical method to integrate partial differential equations representing the Hamiltonian dynamics of field theories. It is a multi-symplectic integrator that locally conserves the stress-energy tensor with an excellent precision over very long periods. Its major advantage is that it is extremely simple (it is basically a centered box scheme) while remaining locally well defined. We put it to the test in the case of the non-linear wave equation (with quartic potential) in one spatial dimension, and we explain how to implement it in higher dimensions. A formal geometric pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06863","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":"1702.06863","created_at":"2026-05-18T00:50:10.290007+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.06863v1","created_at":"2026-05-18T00:50:10.290007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06863","created_at":"2026-05-18T00:50:10.290007+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVCDNNN72XWO","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVCDNNN72XWONXXZ","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVCDNNN7","created_at":"2026-05-18T12:31:24.725408+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/JVCDNNN72XWONXXZIR3DP2GFR6","json":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6.json","graph_json":"https://pith.science/api/pith-number/JVCDNNN72XWONXXZIR3DP2GFR6/graph.json","events_json":"https://pith.science/api/pith-number/JVCDNNN72XWONXXZIR3DP2GFR6/events.json","paper":"https://pith.science/paper/JVCDNNN7"},"agent_actions":{"view_html":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6","download_json":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6.json","view_paper":"https://pith.science/paper/JVCDNNN7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.06863&json=true","fetch_graph":"https://pith.science/api/pith-number/JVCDNNN72XWONXXZIR3DP2GFR6/graph.json","fetch_events":"https://pith.science/api/pith-number/JVCDNNN72XWONXXZIR3DP2GFR6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6/action/storage_attestation","attest_author":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6/action/author_attestation","sign_citation":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6/action/citation_signature","submit_replication":"https://pith.science/pith/JVCDNNN72XWONXXZIR3DP2GFR6/action/replication_record"}},"created_at":"2026-05-18T00:50:10.290007+00:00","updated_at":"2026-05-18T00:50:10.290007+00:00"}