{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:RB73XPAJ6GS7L5ABFHWDBR64UP","short_pith_number":"pith:RB73XPAJ","schema_version":"1.0","canonical_sha256":"887fbbbc09f1a5f5f40129ec30c7dca3c6d2d92c8bdfd0cd49c68cd9e07c435e","source":{"kind":"arxiv","id":"quant-ph/0512113","version":2},"attestation_state":"computed","paper":{"title":"Deriving Spin within a discrete-time theory","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Erasmo Recami, Giovanni Salesi","submitted_at":"2005-12-14T20:31:02Z","abstract_excerpt":"We prove that the classical theory with a discrete time (chronon) is a particular case of a more general theory in which spinning particles are associated with generalized Lagrangians containing time-derivatives of any order (a theory that has been called \"Non-Newtonian Mechanics\"). As a consequence, we get, for instance, a classical kinematical derivation of Hamiltonian and spin vector for the mentioned chronon theory (e.g., in Caldirola et al.'s formulation)."},"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":"quant-ph/0512113","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-12-14T20:31:02Z","cross_cats_sorted":[],"title_canon_sha256":"8857e3aea3784464a5c7392dfb2f8e78fcd4be87285223f5ef1249c7e9aaa332","abstract_canon_sha256":"2e28580f4bceda90d515ac1a4394ee19624a5d1a62b9aa6ff8d9397030e9f539"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:57.278256Z","signature_b64":"cPPpHDARvLsdnjF7wIsCZn64UEvDcC7gskaIYqIqWjXnga5L3FLy95M3o47kWI4FQqaGaHp2dd4sztiVhg6NAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"887fbbbc09f1a5f5f40129ec30c7dca3c6d2d92c8bdfd0cd49c68cd9e07c435e","last_reissued_at":"2026-05-18T01:37:57.277334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:57.277334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deriving Spin within a discrete-time theory","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Erasmo Recami, Giovanni Salesi","submitted_at":"2005-12-14T20:31:02Z","abstract_excerpt":"We prove that the classical theory with a discrete time (chronon) is a particular case of a more general theory in which spinning particles are associated with generalized Lagrangians containing time-derivatives of any order (a theory that has been called \"Non-Newtonian Mechanics\"). As a consequence, we get, for instance, a classical kinematical derivation of Hamiltonian and spin vector for the mentioned chronon theory (e.g., in Caldirola et al.'s formulation)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0512113","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":"quant-ph/0512113","created_at":"2026-05-18T01:37:57.277442+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0512113v2","created_at":"2026-05-18T01:37:57.277442+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0512113","created_at":"2026-05-18T01:37:57.277442+00:00"},{"alias_kind":"pith_short_12","alias_value":"RB73XPAJ6GS7","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"RB73XPAJ6GS7L5AB","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"RB73XPAJ","created_at":"2026-05-18T12:25:53.335082+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/RB73XPAJ6GS7L5ABFHWDBR64UP","json":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP.json","graph_json":"https://pith.science/api/pith-number/RB73XPAJ6GS7L5ABFHWDBR64UP/graph.json","events_json":"https://pith.science/api/pith-number/RB73XPAJ6GS7L5ABFHWDBR64UP/events.json","paper":"https://pith.science/paper/RB73XPAJ"},"agent_actions":{"view_html":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP","download_json":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP.json","view_paper":"https://pith.science/paper/RB73XPAJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0512113&json=true","fetch_graph":"https://pith.science/api/pith-number/RB73XPAJ6GS7L5ABFHWDBR64UP/graph.json","fetch_events":"https://pith.science/api/pith-number/RB73XPAJ6GS7L5ABFHWDBR64UP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP/action/storage_attestation","attest_author":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP/action/author_attestation","sign_citation":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP/action/citation_signature","submit_replication":"https://pith.science/pith/RB73XPAJ6GS7L5ABFHWDBR64UP/action/replication_record"}},"created_at":"2026-05-18T01:37:57.277442+00:00","updated_at":"2026-05-18T01:37:57.277442+00:00"}