{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:3GDKRFR4HZ5V2RTTKP7SYBIRR7","short_pith_number":"pith:3GDKRFR4","schema_version":"1.0","canonical_sha256":"d986a8963c3e7b5d467353ff2c05118fda6b951b484806e113016bd4741ba39f","source":{"kind":"arxiv","id":"2511.21597","version":2},"attestation_state":"computed","paper":{"title":"Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fabio Durastante, Mariarosa Mazza","submitted_at":"2025-11-26T17:13:49Z","abstract_excerpt":"We study energy-conserving Hamiltonian Boundary Value Methods (HBVMs) for Hamiltonian systems, which arise in applications where long-term preservation of energy and symplecticity is essential. HBVMs are multi-stage schemes whose stage equations reformulate as matrix equations with a low-rank right-hand side. For linear systems, we exploit this structure directly via Krylov projection solvers. For nonlinear systems, we leverage it within simplified Newton iterations and as a preconditioner in a Newton--Krylov framework, combined with adaptive time-stepping for robust convergence. Numerical exp"},"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":"2511.21597","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-11-26T17:13:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ad29b04b29945a6210c38f99b465b1fca0724bc4cbc81838be58bec4c15a65c6","abstract_canon_sha256":"cabe8b0e4f68b1aa1396343d4e3dd50301a5e54d9d3202e7ea072f88a1d993dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:37.148134Z","signature_b64":"e7gzohwnHxPeMCOFkJ1aBSn3CPkzqQ84N+tZl4cxFLl77pt1gOFNUXtWVcbpWdwgqvKuYNhZ8svO4EW6BKV/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d986a8963c3e7b5d467353ff2c05118fda6b951b484806e113016bd4741ba39f","last_reissued_at":"2026-05-20T00:01:37.147413Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:37.147413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fabio Durastante, Mariarosa Mazza","submitted_at":"2025-11-26T17:13:49Z","abstract_excerpt":"We study energy-conserving Hamiltonian Boundary Value Methods (HBVMs) for Hamiltonian systems, which arise in applications where long-term preservation of energy and symplecticity is essential. HBVMs are multi-stage schemes whose stage equations reformulate as matrix equations with a low-rank right-hand side. For linear systems, we exploit this structure directly via Krylov projection solvers. For nonlinear systems, we leverage it within simplified Newton iterations and as a preconditioner in a Newton--Krylov framework, combined with adaptive time-stepping for robust convergence. Numerical exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.21597","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.21597/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2511.21597","created_at":"2026-05-20T00:01:37.147538+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.21597v2","created_at":"2026-05-20T00:01:37.147538+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.21597","created_at":"2026-05-20T00:01:37.147538+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GDKRFR4HZ5V","created_at":"2026-05-20T00:01:37.147538+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GDKRFR4HZ5V2RTT","created_at":"2026-05-20T00:01:37.147538+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GDKRFR4","created_at":"2026-05-20T00:01:37.147538+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/3GDKRFR4HZ5V2RTTKP7SYBIRR7","json":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7.json","graph_json":"https://pith.science/api/pith-number/3GDKRFR4HZ5V2RTTKP7SYBIRR7/graph.json","events_json":"https://pith.science/api/pith-number/3GDKRFR4HZ5V2RTTKP7SYBIRR7/events.json","paper":"https://pith.science/paper/3GDKRFR4"},"agent_actions":{"view_html":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7","download_json":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7.json","view_paper":"https://pith.science/paper/3GDKRFR4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.21597&json=true","fetch_graph":"https://pith.science/api/pith-number/3GDKRFR4HZ5V2RTTKP7SYBIRR7/graph.json","fetch_events":"https://pith.science/api/pith-number/3GDKRFR4HZ5V2RTTKP7SYBIRR7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7/action/storage_attestation","attest_author":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7/action/author_attestation","sign_citation":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7/action/citation_signature","submit_replication":"https://pith.science/pith/3GDKRFR4HZ5V2RTTKP7SYBIRR7/action/replication_record"}},"created_at":"2026-05-20T00:01:37.147538+00:00","updated_at":"2026-05-20T00:01:37.147538+00:00"}