{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WRW5IRQIAYUKEG5E7VWCUOGGAD","short_pith_number":"pith:WRW5IRQI","schema_version":"1.0","canonical_sha256":"b46dd446080628a21ba4fd6c2a38c600c25135c4aa8a39a5e549fb0f9e73cf1a","source":{"kind":"arxiv","id":"1210.3025","version":1},"attestation_state":"computed","paper":{"title":"From interpretation of the three classical mechanics actions to the wave function in quantum mechanics","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["physics.class-ph","physics.hist-ph"],"primary_cat":"quant-ph","authors_text":"Alexandre Gondran, Michel Gondran","submitted_at":"2012-10-10T15:37:56Z","abstract_excerpt":"First, we show that there exists in classical mechanics three actions corresponding to different boundary conditions: two well-known actions, the Euler-Lagrange classical action S_cl(x,t;x_0), which links the initial position x_0 and its position x at time t, the Hamilton-Jacobi action S(x,t), which links a family of particles of initial action S_0(x) to their various positions x at time t, and a new action, the deterministic action S(x,t;x_0,v_0), which links a particle in initial position x_0 and initial velocity v_0 to its position x at time t. We study, in the semi-classical approximation,"},"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":"1210.3025","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-10-10T15:37:56Z","cross_cats_sorted":["physics.class-ph","physics.hist-ph"],"title_canon_sha256":"c2913c77f4f0e8159b2c360a933ee9fc634ecd86fb3d57464e8a11858199864e","abstract_canon_sha256":"d2a1e119ef494ce20c09b19120f877e00147da6681eed2a025cc6770583c74c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:35.744008Z","signature_b64":"4L55wpaSGkn3SFahhFLbvTIuLED65tvrFQbJbVKYe6QlHQcAyn3egj6Z2anlgZmD2Ze6fbwqskVE/hve/d6mAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b46dd446080628a21ba4fd6c2a38c600c25135c4aa8a39a5e549fb0f9e73cf1a","last_reissued_at":"2026-05-18T02:23:35.743218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:35.743218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From interpretation of the three classical mechanics actions to the wave function in quantum mechanics","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["physics.class-ph","physics.hist-ph"],"primary_cat":"quant-ph","authors_text":"Alexandre Gondran, Michel Gondran","submitted_at":"2012-10-10T15:37:56Z","abstract_excerpt":"First, we show that there exists in classical mechanics three actions corresponding to different boundary conditions: two well-known actions, the Euler-Lagrange classical action S_cl(x,t;x_0), which links the initial position x_0 and its position x at time t, the Hamilton-Jacobi action S(x,t), which links a family of particles of initial action S_0(x) to their various positions x at time t, and a new action, the deterministic action S(x,t;x_0,v_0), which links a particle in initial position x_0 and initial velocity v_0 to its position x at time t. We study, in the semi-classical approximation,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3025","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":"1210.3025","created_at":"2026-05-18T02:23:35.743366+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3025v1","created_at":"2026-05-18T02:23:35.743366+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3025","created_at":"2026-05-18T02:23:35.743366+00:00"},{"alias_kind":"pith_short_12","alias_value":"WRW5IRQIAYUK","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"WRW5IRQIAYUKEG5E","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"WRW5IRQI","created_at":"2026-05-18T12:27:25.539911+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/WRW5IRQIAYUKEG5E7VWCUOGGAD","json":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD.json","graph_json":"https://pith.science/api/pith-number/WRW5IRQIAYUKEG5E7VWCUOGGAD/graph.json","events_json":"https://pith.science/api/pith-number/WRW5IRQIAYUKEG5E7VWCUOGGAD/events.json","paper":"https://pith.science/paper/WRW5IRQI"},"agent_actions":{"view_html":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD","download_json":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD.json","view_paper":"https://pith.science/paper/WRW5IRQI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3025&json=true","fetch_graph":"https://pith.science/api/pith-number/WRW5IRQIAYUKEG5E7VWCUOGGAD/graph.json","fetch_events":"https://pith.science/api/pith-number/WRW5IRQIAYUKEG5E7VWCUOGGAD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD/action/storage_attestation","attest_author":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD/action/author_attestation","sign_citation":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD/action/citation_signature","submit_replication":"https://pith.science/pith/WRW5IRQIAYUKEG5E7VWCUOGGAD/action/replication_record"}},"created_at":"2026-05-18T02:23:35.743366+00:00","updated_at":"2026-05-18T02:23:35.743366+00:00"}