{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TM3GZ7ANN3YANQ4WPSWOTBNKNG","short_pith_number":"pith:TM3GZ7AN","canonical_record":{"source":{"id":"1607.01528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T09:17:09Z","cross_cats_sorted":[],"title_canon_sha256":"f555b5aadcfffeb29576b33078a2825cdd476864670d0ca263743e24c0de91cf","abstract_canon_sha256":"5debf94e45f57774b9770353b0aca51fc37ad1c37591c204b2f4e12c7058b1f9"},"schema_version":"1.0"},"canonical_sha256":"9b366cfc0d6ef006c3967cace985aa6989cbf9f14ebbfca9a4b9ff4967ed1fc0","source":{"kind":"arxiv","id":"1607.01528","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01528","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01528v2","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01528","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"TM3GZ7ANN3YA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TM3GZ7ANN3YANQ4W","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TM3GZ7AN","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TM3GZ7ANN3YANQ4WPSWOTBNKNG","target":"record","payload":{"canonical_record":{"source":{"id":"1607.01528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T09:17:09Z","cross_cats_sorted":[],"title_canon_sha256":"f555b5aadcfffeb29576b33078a2825cdd476864670d0ca263743e24c0de91cf","abstract_canon_sha256":"5debf94e45f57774b9770353b0aca51fc37ad1c37591c204b2f4e12c7058b1f9"},"schema_version":"1.0"},"canonical_sha256":"9b366cfc0d6ef006c3967cace985aa6989cbf9f14ebbfca9a4b9ff4967ed1fc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:55.049406Z","signature_b64":"J8YQZbqVuD8vRDcKIdVG29xv2il/HtkFCa7e2p3mmINKjTWVb96qSaSb28H2FyABaZv40Ca2N/B4IQeL6ViXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b366cfc0d6ef006c3967cace985aa6989cbf9f14ebbfca9a4b9ff4967ed1fc0","last_reissued_at":"2026-05-18T00:58:55.048927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:55.048927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.01528","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cPl8V6AkqUrtfx3qHVUKw+wgdn7VoZZjlExOWczjq6E9PS3TmXpoumcH5bHw5jwG/cyXW8M35878DOKsinLsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:23:51.306931Z"},"content_sha256":"76600c26404262ed3d5a688fb417436f4259db8330374fa9d818ae6a444e7dc8","schema_version":"1.0","event_id":"sha256:76600c26404262ed3d5a688fb417436f4259db8330374fa9d818ae6a444e7dc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TM3GZ7ANN3YANQ4WPSWOTBNKNG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New quantum number for the many-electron Dirac-Coulomb Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"2), (2) Institute of Inorganic Chemistry, (3) Institute of Physical Chemistry, Chemical Physics, Computational Chemistry, Department of Chemistry, Luk\\'a\\v{s} Bu\\v{c}insk\\'y (3) ((1) Centre for Theoretical, Michal Repisky (1), Slovak Academy of Sciences, Slovak University of Technology), Stanislav Komorovsky (1, UiT The Arctic University of Norway","submitted_at":"2016-07-06T09:17:09Z","abstract_excerpt":"By breaking the spin symmetry in the relativistic domain, a powerful tool in physical sciences was lost. In this work, we examine an alternative of spin symmetry for systems described by the many-electron Dirac-Coulomb Hamiltonian. We show that the square of many-electron operator $\\mathcal{K}_+$, defined as a sum of individual single-electron time-reversal (TR) operators, is a linear Hermitian operator which commutes with the Dirac-Coulomb Hamiltonian in a finite Fock subspace. In contrast to the square of a standard unitary many-electron TR operator $\\mathcal{K}$, the $\\mathcal{K}^2_+$ has a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01528","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9/4HanlRtmVGQoHJS7rkesc6XTphARgFakPg1DQADpzrhyxZ+KC0UzShLir6DHOcPo3DojPFvGgfehi0MaIUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:23:51.307290Z"},"content_sha256":"b291294dfe6d6f1d85c0509c2ae89717e8ffc2b40dc98610ec20970bcce7be7f","schema_version":"1.0","event_id":"sha256:b291294dfe6d6f1d85c0509c2ae89717e8ffc2b40dc98610ec20970bcce7be7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG/bundle.json","state_url":"https://pith.science/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T17:23:51Z","links":{"resolver":"https://pith.science/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG","bundle":"https://pith.science/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG/bundle.json","state":"https://pith.science/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TM3GZ7ANN3YANQ4WPSWOTBNKNG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TM3GZ7ANN3YANQ4WPSWOTBNKNG","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":"5debf94e45f57774b9770353b0aca51fc37ad1c37591c204b2f4e12c7058b1f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T09:17:09Z","title_canon_sha256":"f555b5aadcfffeb29576b33078a2825cdd476864670d0ca263743e24c0de91cf"},"schema_version":"1.0","source":{"id":"1607.01528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01528","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01528v2","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01528","created_at":"2026-05-18T00:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"TM3GZ7ANN3YA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TM3GZ7ANN3YANQ4W","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TM3GZ7AN","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:b291294dfe6d6f1d85c0509c2ae89717e8ffc2b40dc98610ec20970bcce7be7f","target":"graph","created_at":"2026-05-18T00:58:55Z","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":"By breaking the spin symmetry in the relativistic domain, a powerful tool in physical sciences was lost. In this work, we examine an alternative of spin symmetry for systems described by the many-electron Dirac-Coulomb Hamiltonian. We show that the square of many-electron operator $\\mathcal{K}_+$, defined as a sum of individual single-electron time-reversal (TR) operators, is a linear Hermitian operator which commutes with the Dirac-Coulomb Hamiltonian in a finite Fock subspace. In contrast to the square of a standard unitary many-electron TR operator $\\mathcal{K}$, the $\\mathcal{K}^2_+$ has a","authors_text":"2), (2) Institute of Inorganic Chemistry, (3) Institute of Physical Chemistry, Chemical Physics, Computational Chemistry, Department of Chemistry, Luk\\'a\\v{s} Bu\\v{c}insk\\'y (3) ((1) Centre for Theoretical, Michal Repisky (1), Slovak Academy of Sciences, Slovak University of Technology), Stanislav Komorovsky (1, UiT The Arctic University of Norway","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T09:17:09Z","title":"New quantum number for the many-electron Dirac-Coulomb Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01528","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":"sha256:76600c26404262ed3d5a688fb417436f4259db8330374fa9d818ae6a444e7dc8","target":"record","created_at":"2026-05-18T00:58:55Z","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":"5debf94e45f57774b9770353b0aca51fc37ad1c37591c204b2f4e12c7058b1f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T09:17:09Z","title_canon_sha256":"f555b5aadcfffeb29576b33078a2825cdd476864670d0ca263743e24c0de91cf"},"schema_version":"1.0","source":{"id":"1607.01528","kind":"arxiv","version":2}},"canonical_sha256":"9b366cfc0d6ef006c3967cace985aa6989cbf9f14ebbfca9a4b9ff4967ed1fc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b366cfc0d6ef006c3967cace985aa6989cbf9f14ebbfca9a4b9ff4967ed1fc0","first_computed_at":"2026-05-18T00:58:55.048927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:55.048927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8YQZbqVuD8vRDcKIdVG29xv2il/HtkFCa7e2p3mmINKjTWVb96qSaSb28H2FyABaZv40Ca2N/B4IQeL6ViXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:55.049406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76600c26404262ed3d5a688fb417436f4259db8330374fa9d818ae6a444e7dc8","sha256:b291294dfe6d6f1d85c0509c2ae89717e8ffc2b40dc98610ec20970bcce7be7f"],"state_sha256":"d412581b34edaf7048f021fe05cc512f7944bd8774011d8d5a44a42d14142598"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4LPdXyCgSAulfXUENTC1SxIyG14SUucPN2czwB4vVg+UBGv+CfsZbNzzlDcfAXKY2hN/UkFIQJg8TsLV9PeCAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:23:51.309525Z","bundle_sha256":"34820e2c1cf2b21ae015c027f4c30e7ebef374bdd6bdf28714f1907b4ee77a3f"}}