{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XXBQL34M5BMFCANF4PV6UM4BMW","short_pith_number":"pith:XXBQL34M","schema_version":"1.0","canonical_sha256":"bdc305ef8ce8585101a5e3ebea3381659eac8ae8f1ebbe5fc38996864bba94fa","source":{"kind":"arxiv","id":"1805.07711","version":1},"attestation_state":"computed","paper":{"title":"Analytic representation of discrete and continuous mechanical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Benoy Talukdar, Sekh Golam Ali, Supriya Chatterjee","submitted_at":"2018-05-20T06:08:28Z","abstract_excerpt":"We investigate how the theory of self-adjoint differential equations alone can be used to provide a satisfactory solution of the inverse vatiational problem. For the discrete system, the self-adjoint form of the Newtonian equation allows one to find an explicitly time-dependent Lagrangian representation. On the other hand, the same Newtonian equation in conjunction with its adjoint forms a natural basis to construct an explicitly time-independent analytic representation of the system. This approach when applied to the equation of damped harmonic oscillator help one disclose the mathematical or"},"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":"1805.07711","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-05-20T06:08:28Z","cross_cats_sorted":[],"title_canon_sha256":"c25c7ff65640441b2e1a0b13755842f7a0e808ad0042b6fb3f442d58fbff4125","abstract_canon_sha256":"8034f26e93a992239420630ce7a38c2585a3293fe04c7a8c0004be6a6482cccc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:32.764476Z","signature_b64":"xe6VSn2LRpooGV8YVSEJPWQBVgT6PcIx/MVfJ60BmfltBXJybKbm2mrhLrBxunZPEM3WRIaenV8CrQTXluGNCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdc305ef8ce8585101a5e3ebea3381659eac8ae8f1ebbe5fc38996864bba94fa","last_reissued_at":"2026-05-18T00:15:32.763848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:32.763848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic representation of discrete and continuous mechanical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Benoy Talukdar, Sekh Golam Ali, Supriya Chatterjee","submitted_at":"2018-05-20T06:08:28Z","abstract_excerpt":"We investigate how the theory of self-adjoint differential equations alone can be used to provide a satisfactory solution of the inverse vatiational problem. For the discrete system, the self-adjoint form of the Newtonian equation allows one to find an explicitly time-dependent Lagrangian representation. On the other hand, the same Newtonian equation in conjunction with its adjoint forms a natural basis to construct an explicitly time-independent analytic representation of the system. This approach when applied to the equation of damped harmonic oscillator help one disclose the mathematical or"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07711","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":"1805.07711","created_at":"2026-05-18T00:15:32.763929+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.07711v1","created_at":"2026-05-18T00:15:32.763929+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07711","created_at":"2026-05-18T00:15:32.763929+00:00"},{"alias_kind":"pith_short_12","alias_value":"XXBQL34M5BMF","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"XXBQL34M5BMFCANF","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"XXBQL34M","created_at":"2026-05-18T12:33:04.347982+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/XXBQL34M5BMFCANF4PV6UM4BMW","json":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW.json","graph_json":"https://pith.science/api/pith-number/XXBQL34M5BMFCANF4PV6UM4BMW/graph.json","events_json":"https://pith.science/api/pith-number/XXBQL34M5BMFCANF4PV6UM4BMW/events.json","paper":"https://pith.science/paper/XXBQL34M"},"agent_actions":{"view_html":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW","download_json":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW.json","view_paper":"https://pith.science/paper/XXBQL34M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.07711&json=true","fetch_graph":"https://pith.science/api/pith-number/XXBQL34M5BMFCANF4PV6UM4BMW/graph.json","fetch_events":"https://pith.science/api/pith-number/XXBQL34M5BMFCANF4PV6UM4BMW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW/action/storage_attestation","attest_author":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW/action/author_attestation","sign_citation":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW/action/citation_signature","submit_replication":"https://pith.science/pith/XXBQL34M5BMFCANF4PV6UM4BMW/action/replication_record"}},"created_at":"2026-05-18T00:15:32.763929+00:00","updated_at":"2026-05-18T00:15:32.763929+00:00"}