{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BFNI2TNMOF6D3YKEDSWASMIF6Z","short_pith_number":"pith:BFNI2TNM","schema_version":"1.0","canonical_sha256":"095a8d4dac717c3de1441cac093105f658ca877944ab365fd4ecc52dd0d527a0","source":{"kind":"arxiv","id":"1510.04876","version":1},"attestation_state":"computed","paper":{"title":"Symmetries of the Hamiltonian operator and constants of motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G.F. Torres del Castillo, J.E. Herrera Flores","submitted_at":"2015-10-15T17:16:27Z","abstract_excerpt":"It is shown that, in the framework of non-relativistic quantum mechanics, any conserved Hermitian operator (which may depend explicitly on the time) is the generator of a one-parameter group of unitary symmetries of the Hamiltonian and that, conversely, any one-parameter family of unitary symmetries of the Hamiltonian is generated by a conserved Hermitian operator."},"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":"1510.04876","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-15T17:16:27Z","cross_cats_sorted":[],"title_canon_sha256":"f503abb2b91ac87e4fd710d2ea5aab44293c390e71872c2961bb18189bf37152","abstract_canon_sha256":"9a6a474925cc370bf748d37b6facf6bbf61db5915b9817a9af2cc88862af14d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:00.395645Z","signature_b64":"tXhOisCsxsdI1OV9PLX8YOzknWnqKkDuBTbKoD9fdMbh60qRSSBLu5PaAYLTWOykoMbf7Y7sH9PmPswoN0f9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"095a8d4dac717c3de1441cac093105f658ca877944ab365fd4ecc52dd0d527a0","last_reissued_at":"2026-05-18T01:30:00.395187Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:00.395187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetries of the Hamiltonian operator and constants of motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G.F. Torres del Castillo, J.E. Herrera Flores","submitted_at":"2015-10-15T17:16:27Z","abstract_excerpt":"It is shown that, in the framework of non-relativistic quantum mechanics, any conserved Hermitian operator (which may depend explicitly on the time) is the generator of a one-parameter group of unitary symmetries of the Hamiltonian and that, conversely, any one-parameter family of unitary symmetries of the Hamiltonian is generated by a conserved Hermitian operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04876","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":"1510.04876","created_at":"2026-05-18T01:30:00.395247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.04876v1","created_at":"2026-05-18T01:30:00.395247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04876","created_at":"2026-05-18T01:30:00.395247+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFNI2TNMOF6D","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFNI2TNMOF6D3YKE","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFNI2TNM","created_at":"2026-05-18T12:29:14.074870+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/BFNI2TNMOF6D3YKEDSWASMIF6Z","json":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z.json","graph_json":"https://pith.science/api/pith-number/BFNI2TNMOF6D3YKEDSWASMIF6Z/graph.json","events_json":"https://pith.science/api/pith-number/BFNI2TNMOF6D3YKEDSWASMIF6Z/events.json","paper":"https://pith.science/paper/BFNI2TNM"},"agent_actions":{"view_html":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z","download_json":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z.json","view_paper":"https://pith.science/paper/BFNI2TNM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.04876&json=true","fetch_graph":"https://pith.science/api/pith-number/BFNI2TNMOF6D3YKEDSWASMIF6Z/graph.json","fetch_events":"https://pith.science/api/pith-number/BFNI2TNMOF6D3YKEDSWASMIF6Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z/action/storage_attestation","attest_author":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z/action/author_attestation","sign_citation":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z/action/citation_signature","submit_replication":"https://pith.science/pith/BFNI2TNMOF6D3YKEDSWASMIF6Z/action/replication_record"}},"created_at":"2026-05-18T01:30:00.395247+00:00","updated_at":"2026-05-18T01:30:00.395247+00:00"}