{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:S5NAMZRFACI2XJUGRWIL7HKAFT","short_pith_number":"pith:S5NAMZRF","schema_version":"1.0","canonical_sha256":"975a0666250091aba6868d90bf9d402cecb19f65b6e1a3b484d4993bf82a6ff7","source":{"kind":"arxiv","id":"1604.02074","version":2},"attestation_state":"computed","paper":{"title":"Order reduction, projectability and constraints of second-order field theories and higher-order mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jordi Gaset, Narciso Rom\\'an-Roy","submitted_at":"2016-04-07T16:45:46Z","abstract_excerpt":"The projectability of Poincar\\'e-Cartan forms in a third-order jet bundle $J^3\\pi$ onto a lower-order jet bundle is a consequence of the degenerate character of the corresponding Lagrangian. This fact is analyzed using the constraint algorithm for the associated Euler-Lagrange equations in $J^3\\pi$. The results are applied to study the Hilbert Lagrangian for the Einstein equations (in vacuum) from a multisymplectic point of view. Thus we show how these equations are a consequence of the application of the constraint algorithm to the geometric field equations, meanwhile the other constraints ar"},"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":"1604.02074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-07T16:45:46Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"7f683fda2496fbc278b5272c0b893ebfd8287d82cf16050c8218941c74b06ece","abstract_canon_sha256":"83458058c2bcede3339c414f4725d6c90ca0bbd6774be35c9263b9d19b46551b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:10.099517Z","signature_b64":"i694zKjh9BWaJT1amZNa5gbGr2YKl+my6mKSDvbIBnUCWU9hFQDvizPoZGIsnQCfYz1q9Hj5wkxNJqZFyKtsBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"975a0666250091aba6868d90bf9d402cecb19f65b6e1a3b484d4993bf82a6ff7","last_reissued_at":"2026-05-18T00:27:10.099034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:10.099034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Order reduction, projectability and constraints of second-order field theories and higher-order mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jordi Gaset, Narciso Rom\\'an-Roy","submitted_at":"2016-04-07T16:45:46Z","abstract_excerpt":"The projectability of Poincar\\'e-Cartan forms in a third-order jet bundle $J^3\\pi$ onto a lower-order jet bundle is a consequence of the degenerate character of the corresponding Lagrangian. This fact is analyzed using the constraint algorithm for the associated Euler-Lagrange equations in $J^3\\pi$. The results are applied to study the Hilbert Lagrangian for the Einstein equations (in vacuum) from a multisymplectic point of view. Thus we show how these equations are a consequence of the application of the constraint algorithm to the geometric field equations, meanwhile the other constraints ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02074","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":""},"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":"1604.02074","created_at":"2026-05-18T00:27:10.099109+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02074v2","created_at":"2026-05-18T00:27:10.099109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02074","created_at":"2026-05-18T00:27:10.099109+00:00"},{"alias_kind":"pith_short_12","alias_value":"S5NAMZRFACI2","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"S5NAMZRFACI2XJUG","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"S5NAMZRF","created_at":"2026-05-18T12:30:41.710351+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/S5NAMZRFACI2XJUGRWIL7HKAFT","json":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT.json","graph_json":"https://pith.science/api/pith-number/S5NAMZRFACI2XJUGRWIL7HKAFT/graph.json","events_json":"https://pith.science/api/pith-number/S5NAMZRFACI2XJUGRWIL7HKAFT/events.json","paper":"https://pith.science/paper/S5NAMZRF"},"agent_actions":{"view_html":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT","download_json":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT.json","view_paper":"https://pith.science/paper/S5NAMZRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02074&json=true","fetch_graph":"https://pith.science/api/pith-number/S5NAMZRFACI2XJUGRWIL7HKAFT/graph.json","fetch_events":"https://pith.science/api/pith-number/S5NAMZRFACI2XJUGRWIL7HKAFT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT/action/storage_attestation","attest_author":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT/action/author_attestation","sign_citation":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT/action/citation_signature","submit_replication":"https://pith.science/pith/S5NAMZRFACI2XJUGRWIL7HKAFT/action/replication_record"}},"created_at":"2026-05-18T00:27:10.099109+00:00","updated_at":"2026-05-18T00:27:10.099109+00:00"}