{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:RB73XPAJ6GS7L5ABFHWDBR64UP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2e28580f4bceda90d515ac1a4394ee19624a5d1a62b9aa6ff8d9397030e9f539","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-12-14T20:31:02Z","title_canon_sha256":"8857e3aea3784464a5c7392dfb2f8e78fcd4be87285223f5ef1249c7e9aaa332"},"schema_version":"1.0","source":{"id":"quant-ph/0512113","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0512113","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0512113v2","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0512113","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"pith_short_12","alias_value":"RB73XPAJ6GS7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"RB73XPAJ6GS7L5AB","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"RB73XPAJ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:00406dcd6830ec200d546958b3f631a024f7f6913e464e906627152e1d574449","target":"graph","created_at":"2026-05-18T01:37:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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).","authors_text":"Erasmo Recami, Giovanni Salesi","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-12-14T20:31:02Z","title":"Deriving Spin within a discrete-time theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0512113","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:afe7edf0612a89af2d933df6a3496a12fc7f2553779c3188507d6c5b810db7a0","target":"record","created_at":"2026-05-18T01:37:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2e28580f4bceda90d515ac1a4394ee19624a5d1a62b9aa6ff8d9397030e9f539","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-12-14T20:31:02Z","title_canon_sha256":"8857e3aea3784464a5c7392dfb2f8e78fcd4be87285223f5ef1249c7e9aaa332"},"schema_version":"1.0","source":{"id":"quant-ph/0512113","kind":"arxiv","version":2}},"canonical_sha256":"887fbbbc09f1a5f5f40129ec30c7dca3c6d2d92c8bdfd0cd49c68cd9e07c435e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"887fbbbc09f1a5f5f40129ec30c7dca3c6d2d92c8bdfd0cd49c68cd9e07c435e","first_computed_at":"2026-05-18T01:37:57.277334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:57.277334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPPpHDARvLsdnjF7wIsCZn64UEvDcC7gskaIYqIqWjXnga5L3FLy95M3o47kWI4FQqaGaHp2dd4sztiVhg6NAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:57.278256Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0512113","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afe7edf0612a89af2d933df6a3496a12fc7f2553779c3188507d6c5b810db7a0","sha256:00406dcd6830ec200d546958b3f631a024f7f6913e464e906627152e1d574449"],"state_sha256":"6e41eabe11a499856d8e8692c0965cfda54e360ed1b24e0c30546fe1fba5aee6"}