{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:QQJ4UFW2AWD6M6CQGLPGUXKJ3K","short_pith_number":"pith:QQJ4UFW2","schema_version":"1.0","canonical_sha256":"8413ca16da0587e6785032de6a5d49da87bfe8d3708bc883538aa1faf4e0cc7b","source":{"kind":"arxiv","id":"0909.3258","version":1},"attestation_state":"computed","paper":{"title":"From Classical to Quantum Mechanics through Optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ed-ph"],"primary_cat":"physics.hist-ph","authors_text":"Ana Ros, Jaume Masoliver","submitted_at":"2009-09-17T15:53:21Z","abstract_excerpt":"In this paper we revise the main aspects of the Hamiltonian analogy: the fact that optical paths are completely analogous to mechanical trajectories. We follow Schr\\\"{o}dinger's original idea and go beyond this analogy by changing over from the Hamilton's principal function $S$ to the wave function $\\Psi$. We thus travel from classical to quantum mechanics through optics."},"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":"0909.3258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2009-09-17T15:53:21Z","cross_cats_sorted":["physics.ed-ph"],"title_canon_sha256":"4575fd74ff1f5c5ca139d7ffb55b4199312fa4543a76e117b7749f9ee9809c4e","abstract_canon_sha256":"916f14f833f2a73cd3840fdfd0529d14f0e9c96180d43445f41c1d11b7ebcfcb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:56.023958Z","signature_b64":"MjgKsP3nK6+iDse3GKi8qx3SohrInkTi1BTN17OsqnTg4hjllh04s/sOGnuaRGKrgbSC77jgdKBhO31wsPBXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8413ca16da0587e6785032de6a5d49da87bfe8d3708bc883538aa1faf4e0cc7b","last_reissued_at":"2026-05-18T04:32:56.023050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:56.023050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Classical to Quantum Mechanics through Optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ed-ph"],"primary_cat":"physics.hist-ph","authors_text":"Ana Ros, Jaume Masoliver","submitted_at":"2009-09-17T15:53:21Z","abstract_excerpt":"In this paper we revise the main aspects of the Hamiltonian analogy: the fact that optical paths are completely analogous to mechanical trajectories. We follow Schr\\\"{o}dinger's original idea and go beyond this analogy by changing over from the Hamilton's principal function $S$ to the wave function $\\Psi$. We thus travel from classical to quantum mechanics through optics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3258","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":"0909.3258","created_at":"2026-05-18T04:32:56.023203+00:00"},{"alias_kind":"arxiv_version","alias_value":"0909.3258v1","created_at":"2026-05-18T04:32:56.023203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.3258","created_at":"2026-05-18T04:32:56.023203+00:00"},{"alias_kind":"pith_short_12","alias_value":"QQJ4UFW2AWD6","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QQJ4UFW2AWD6M6CQ","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QQJ4UFW2","created_at":"2026-05-18T12:26:01.383474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.15313","citing_title":"Gravitational-wave lensing beyond rays: a disordered-system approach","ref_index":72,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K","json":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K.json","graph_json":"https://pith.science/api/pith-number/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/graph.json","events_json":"https://pith.science/api/pith-number/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/events.json","paper":"https://pith.science/paper/QQJ4UFW2"},"agent_actions":{"view_html":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K","download_json":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K.json","view_paper":"https://pith.science/paper/QQJ4UFW2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0909.3258&json=true","fetch_graph":"https://pith.science/api/pith-number/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/graph.json","fetch_events":"https://pith.science/api/pith-number/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/action/storage_attestation","attest_author":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/action/author_attestation","sign_citation":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/action/citation_signature","submit_replication":"https://pith.science/pith/QQJ4UFW2AWD6M6CQGLPGUXKJ3K/action/replication_record"}},"created_at":"2026-05-18T04:32:56.023203+00:00","updated_at":"2026-05-18T04:32:56.023203+00:00"}